Recent Homework Questions About Calculus
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Calculus
explain why f(x)=(1)/(x^2-9) is discontinoues at x=-3
Tuesday, September 4, 2012 at 4:26pm
Honors Pre-Calculus
The prompt says "Graph each function. Determine the interval[s] for which the function is increasing and the interval[s] for which the function is decreasing." The problems that are given in this prompt are: 1. y= x^3+3x^2-9x 2. f(x)=1/(x+1)-4 3. g(x)=(x^2+5)/(x-2) I...
Tuesday, September 4, 2012 at 4:08pm
Multivariable Calculus
I was asked to state as a product of speed and unit vector a mass traveling at 1000ft/sec along the vector <1,sqrt(3)>. I know that v/|v| gives me the unit vector, which is (1/2i, sqrt(3)/2j). Do I keep the speed as given?
Tuesday, September 4, 2012 at 1:04pm
calculus
Solve lim x->7+ as....sqrt(x-7)^3/(x-7). I found that it equals 0, but I don't know if I did everything right.
Monday, September 3, 2012 at 4:09pm
calculus
I need help with the following problem: From a point 50 meters from the bottom of a radio tower along level ground, the angle of elevation to the top of the tower is 67 degrees. What is the height of the tower?
Monday, September 3, 2012 at 12:03pm
Calculus
I need help with the following problem: You're in a hot air balloon with your support crew on the ground. Attached to the balloon are two tether cords of length 350 feet and 400 feet that your crew attached to the ground. These cords form an angle of 50 degrees where they ...
Monday, September 3, 2012 at 11:49am
Calculus
Please help find the rational roots of f(x)=4x^4 - 3x^3 + 2x^2 +x - 3 another is f(x)=-3x^3 - 2x^2 + x - 1 I tried but still confuse please help really really need help Thank you very much!
Sunday, September 2, 2012 at 4:59pm
Calculus
Owing to an innovative rural public health program, infant mortality in Senegal, West Africa, is being reduced at a rate of 10% per year. How long will it take for infant mortality to be reduced by 50%?
Sunday, September 2, 2012 at 3:23pm
pre-calculus
WHAT DO YOU LEARN IN PRECALCULUS? PLEASE LIST.
Saturday, September 1, 2012 at 1:14pm
calculus
The function y=f(x) graphed above is assumed to be a vertical shift of an exponential function. The two points marked on the graph are A= (-1,-31) and B= (1,-1) . The red horizontal line is given by y= 1, and is a horizontal asymptote of the function. Give the formula for y in...
Saturday, September 1, 2012 at 1:40am
Calculus
1. Does the limit limx-->0:6[[x]] exist? 2. Does the limit limx-->3[[x]] exist? [[x]] is less or equal to x.
Friday, August 31, 2012 at 9:53pm
calculus
limit as delta x approaches 0 when f(x) = 4/ sqr x Have to use the (F(x+delta x)-f(x))/delta x method
Friday, August 31, 2012 at 11:42am
Calculus
F (x ) = x^5 + 2x^3 + x − 1 a) What conditions must f (x ) satisfy in order to have an inverse function? Does is satisfy these conditions? why or why not? b)Without finding an explicit function for for f^-1(x), find f^-1(3) and (f^-1)'(3)
Friday, August 31, 2012 at 10:35am
Calculus
A person needs to swim to shore from Point A and walk to Point B. They can swim at 2mph and walk at 4 mph. Write an expression for the total time their journey will time their journey will take in terms of x. Then use your graphing calculator to estimate the value of x which ...
Thursday, August 30, 2012 at 10:36pm
Calculus
1.Find vectors v*w if vector v = 5 vector i – 4 vector j + 4 vector k and vector w = –6 vector i + 3 vector j – 2 vector k. 2.Find vectors v*w if vector v = -3 vector i – 4 vector j - 8 vector k and vector w = 2 vector i + 6 vector j + 4 vector k.
Thursday, August 30, 2012 at 4:20pm
Calculus
1. Find an ordered pair that represents 6 vector v - 5 vector w if vector v =(9,5) and vector w = (6,9). 2. Find an ordered triple that represents 6 vector y + 4 vector z if vector y = (2,6,8) and vector z = (7,-2,6) 3. Find the magnitude of vector WX for W(3, –3, 1) and ...
Thursday, August 30, 2012 at 1:32pm
Calculus
(a) By graphing the function f(x) = (cos 2x − cos x)/x2 and zooming in toward the point where the graph crosses the y-axis, estimate the value of lim x → 0 f(x). (b) Check your answer in part (a) by evaluating f(x) for values of x that approach 0. (Round your ...
Thursday, August 30, 2012 at 12:55pm
Calculus
(a) By graphing the function f(x) = (cos 2x − cos x)/x2 and zooming in toward the point where the graph crosses the y-axis, estimate the value of lim x → 0 f(x). (b) Check your answer in part (a) by evaluating f(x) for values of x that approach 0. (Round your ...
Thursday, August 30, 2012 at 12:51pm
math, calculus 2
Use part 1 of the Fundamental Theorem of Calculus to find the derivative of g(x)= integrate from 9x to 4x of ((u+4)/(u-1))du
Wednesday, August 29, 2012 at 9:55pm
Pre-Calculus
Find the maximum and minimum values of the function for the polygonal convex set determined by the given system of inequalities. x + y > 2 8x – 2y < 16 4y < 6x + 8 f(x, y) = 4x + 7y
Wednesday, August 29, 2012 at 7:55pm
Pre-Calculus
Find the maximum value of the function for the polygonal convex set determinded by the given system of inequalities. 8x + 2y > 36 –3x + 6y < 27 –7x + 5y > –18 f(x, y) = 9x + 5y
Wednesday, August 29, 2012 at 7:53pm
Math
The height (in feet) of a small weight oscillating at the end of a spring is h(t) = 0.5 cos(2t) where t is in seconds, 0 ≤ t ≤ 5. (This is calculus. Use radians!) (a)Calculate the weight’s average velocity over the time interval 1 ≤ t ≤ 3. Show ...
Wednesday, August 29, 2012 at 1:33pm
math, calculus 2
Consider the function f(x)=-((x^2)/2)-9. In this problem you will calculate integrate from 0 to 3 of ((-x^2)/2)-9)dx by using the definition integrate from a to b of (f(x))dx= lim as n approaches infinity of sum_(i=1)^n of (f(x_i))(delta x) The summation inside the brackets is...
Wednesday, August 29, 2012 at 7:36am
Calculus
TWO examples of each of the following: two sided limits and theorem on limits (SUM, difference, product, quotient, nth root, ).
Wednesday, August 29, 2012 at 3:12am
Calculus
TWO examples of two sided limits and each theorem on limits.
Wednesday, August 29, 2012 at 12:48am
Calculus
The figure is an invertible function . Use the figure to find the following: ƒ−1(-3)= ƒ−1(-2)= ƒ−1(-1)=
Tuesday, August 28, 2012 at 11:17pm
math
Use part I of the Fundamental Theorem of Calculus to find the derivative of g(x)= integrate from 9x to 4x of ((u+4)/(u-1))du
Tuesday, August 28, 2012 at 11:08pm
Calculus
Find the volume of the solid formed by rotating the region enclosed by y=e^(1x)+4 y=0 x=0 x=0.3 about the x-axis. I attempted this problem numerous time and kept on getting 5.501779941pi, using the formale integral of pi(r^2) bounded by 0.3 and 0.
Tuesday, August 28, 2012 at 11:03pm
calculus
The point P(4, −2)lies on the curve y = 2/(3 − x). (a) If Q is the point(x, 2/(3 − x)),use your calculator to find the slope mPQ of the secant line PQ (correct to six decimal places) for the following values of x. 1) 3.9 mPQ= 2) 3.99 mPQ= 3)3.999 mPQ= 4) 4.1 ...
Tuesday, August 28, 2012 at 9:12pm
calculus
integrate (3dx/xln3x)
Tuesday, August 28, 2012 at 8:09pm
calculus
I need help with the following question: Which of the following is an example of a function whose derivative is always 3? Choices are: f(x) = x=3 f(x) = 5x+3 f (x) = 3x+5 f(x) = 3 Thank you.
Tuesday, August 28, 2012 at 6:00pm
calculus 1
If you can program a calculator or computer, estimate the length of the curve f(x) on the given interval using largest n's. f(x)=56cos(x), for x is greater than/equal to 0 and x is smaller than/equal to pi/2.
Monday, August 27, 2012 at 3:49pm
Calculus AP
im still stuck. i need help. evaluate the integral ∫sinx /(1+x^2) dx from -1 to 1
Sunday, August 26, 2012 at 11:00pm
Calculus AP
i got the wrong answer. the correct answer is ln(2). here is problem: ∫cosx/(1+sinx) dx from 0 to pi/2
Sunday, August 26, 2012 at 9:15pm
Calculus AP
integral of [sqrt(u) - 2 u^2]/u du i got stuck ∫u^-1 (sqrt(u) - 2 u^2) du ∫ u^(-1/2) - 2u du i dont know i'm doing right step
Sunday, August 26, 2012 at 6:53pm
Calculus
How do I find the total area of three connected equally sized pens built so as to maximize the area bounded?
Friday, August 24, 2012 at 9:17pm
Math (Trig/pre-calculus)
some stars are so far away that their position appear fixed as earth orbits the sun. other stars, however, appear over time to shift their positions relative to the background of "fixed" stars. suppose that the star shown below appears to shift through an arc of ...
Thursday, August 23, 2012 at 9:52pm
Calculus
The percentage of the moon's surface that is visible to a person standing on the Earth varies with the time since the moon was full. The moon passes through a full cycle in 28 days, from full moon to full moon. The maximum percentage of the moon's surface that is ...
Thursday, August 23, 2012 at 7:18pm
Calculus
Given vectors u= (1,-1,3) and v= (-4,5,3) find an ordered triple that represents vectors 3u-2v. a.(16,1,-7) b.(11,-13,3) c.(10,-12,1) d.(7,-7,16) I dont want you to straight up give me the answer. I need someone to teach me how to solve this problem. I am home schooled and i ...
Thursday, August 23, 2012 at 6:48pm
Calculus
How would you begin this problem? On a standard summer day in upstate New York, the temperature outside can be modeled using the sinusoidal equation O(t) = 11 cos (pi/12 t) + 71, where t represents the number of hours since the peak temperature for the day. For 0 less than or ...
Wednesday, August 22, 2012 at 7:21pm
Calculus
What would the values of A, B, and C be in this problem? The tides in a particular bay can be modeled with an equation of the form d= A cos (Bt) + C, where t represents the number of hours since high-tide and d represents the depth of water in the bay. The maximum depth of ...
Wednesday, August 22, 2012 at 4:34pm
calculus
a graph shows the divends declared per share of stock for the colgate-palmolive company for the years 1988 through 1998. Find the slope of the line segment connecting the years 1988 and 1998
Wednesday, August 22, 2012 at 1:37am
calculus
A hemispherical dome has a diameter of 100m. A spotlight is placed on point B along the circumference on ground level. A balloon is released at point A on the center at a rate of 2m/s. how fast is the shadow of the balloon move on the roof when the balloon is 25m high?
Tuesday, August 21, 2012 at 10:12pm
Calculus
A 15.2-F capacitor has an initial voltage of 2.00 V. It is charged with a current given by i=tã5=t^2. Find the voltage across the capacitor at 1.75 seconds.
Tuesday, August 21, 2012 at 2:23pm
Calculus
1.(arrow above letter a pointing to the right) and (arrow above letter b pointing to the right) have the same direction, and they both have a magnitude of 6. What must be true about(arrow above letter a pointing to the right)and(arrow above letter b pointing to the right)? ...
Sunday, August 19, 2012 at 4:36pm
Pre-Calculus
I need help sketching the graph of a piecewise function. f(x) = { x² if |x|≤1, -x² if |x|>1
Sunday, August 19, 2012 at 3:14pm
Calculus
find coefficient of x^8 in expanding of (x-2)^11
Sunday, August 19, 2012 at 1:03am
Calculus
A club has 45 members and its membership committee has 7 members. How many different membership committees are possible? I keep getting 1.6336632e10, but I know its not right somehow
Sunday, August 19, 2012 at 12:08am
calculus
find the definite integral that is equivalent to lim n->infinity of sum over i=(1,n) n/(n^2+i^2) since definite integral of f(x) dx over (a,b) = lim n->infinity sum over i=(1,n) f(a + (b-a)i/n) * (b-a)/n then: f(a + (b-a)i/n) * (b-a)/n = n/(n^2+i^2) rearrange to: so f(a...
Saturday, August 18, 2012 at 11:47pm
calculus
suppose the set of points have the following coordinates:(-2,3),(4,-4),(2,-3). please calculate the moment of this set of points about the x-axis and also about the center.
Friday, August 17, 2012 at 4:09pm
Calculus
Find the first 6 terms of the sequence b^1 = 5. B^n = 2b(n -1) when n>1. Then write an explicit definition of the sequence and use it to find the 12th term.
Wednesday, August 15, 2012 at 2:21pm
calculus
Just want to check whether my answer is correct for quotient rule F(v) : (600^3/2 + 20250)/v F'(v) : (300^3/2 - 20250)/v^2 F"(v) : (-150v^5/2 + 40500)/v^3 Can anyone let me know whether my answer is correct for first and second derivative based on F(v) ??
Monday, August 13, 2012 at 6:12pm
calculus
Just want to check whether my answer is correct for quotient rule F(x) : (600^3/2 + 20250)/v F'(x) : (300^3/2 - 20250)/v^2 F"(x) : (-150v^5/2 + 40500)/v^3 Can anyone let me know whether my answer is correct for first and second derivative based on F(x) ?? Thank you!!
Monday, August 13, 2012 at 2:02pm
calculus
A ship uses $( 7v^2 ) of fuel per hour when travelling at a constant speed of v km/h. Other expenses in operating the ship (i.e. crew and equipment) amount to $345 per hour. The ship makes a journey of 100 km. C(v) : (700v^2 + 34500)/v C'(v): (700v^2 - 34500)/v^2 C"(v...
Monday, August 13, 2012 at 12:56pm
calculus
how to find the second derivative of quotient rule? f(x): 700v^2 + 3450/v f'(x) : 700v^2 -3450/v^2 f"'(x) : ???
Monday, August 13, 2012 at 5:17am
calculus
Hi i need help in this. Some of the parts i got the answer but some i don't. please help! A ship uses $(7v^2) of fuel per hour when travelling at a constant speed of v km/h. Other expenses in operating the ship (i.e. crew and equipment) amount to $345 per hour. The ship ...
Sunday, August 12, 2012 at 12:28pm
calculus
Find the trigonometric integral (a) ∫▒tan〖θ 〖sec〗^4 〗 θ dθ
Sunday, August 12, 2012 at 11:07am
calculus
A bicycle wheel has a diameter D = 60 cm and the tyre has a cross sectional radius of r = 2.5 cm. The volume V of the inner tube is given by V = pi^2 D r^2 + (8/3*pi*r^3) If air is being pumped into the tyre so that the volume of the inner tube is increasing at the rate of 12 ...
Saturday, August 11, 2012 at 4:19pm
Pre-Calculus
How do I find the minimum or maximum of this y = 2x³ + 3x² - 12x? It makes 2 curves.
Saturday, August 11, 2012 at 3:27pm
Pre-Calculus
Determine the open intervals on which the function is increasing, decreasing, or constant. f(x) = 3 f(x) = x^(2/3) f(x) = -x^(3/4)
Saturday, August 11, 2012 at 2:31pm
Calculus
Prove via Mathematical Induction that (7*n) - 1 is divisible by 6. I have that it is divisble when n=1, but not n=2 and so on. How should I write the inductive proofs?
Saturday, August 11, 2012 at 11:21am
Calculus
Evaluate the following definite integral: integral at a = -1, b=2 -4dx/(9x^2+30x+25) Would I have to separate them in 3 terms as: -4 ∫1/9x^2 + ∫1/30x + ∫1/25 resulting in: -4/(3x^3)+ (15x^2)+ C? and from there I can replace a and b f(a) - f(b)? Thank you
Friday, August 10, 2012 at 2:02pm
Calculus
Use mathematical induction to prove that the statement holds for all positive integers. Also, label the basis, hypothesis, and induction step. 1 + 5 + 9 + … + (4n -3)= n(2n-1)
Friday, August 10, 2012 at 10:48am
Calculus
This is another textbook number that doesn't have the solution and I can't figure it out. Any tips would be greatly appreciated. For each of the plane surfaces, calculate the exact surface area. (Answer in fractions) (a)The surface composed of all surfaces bounded by ...
Thursday, August 9, 2012 at 12:48pm
Pre-Calculus
Determine whether the equation represents y as a function of x. |y| = 4 - x If I plug in 5, then I get -1, but it also means 1. Does that mean y has 2 values which means that it is not a function?
Thursday, August 9, 2012 at 12:48am
Pre-Calculus
Which sets of ordered pairs represent functions from A to B? Explain. A = {a, b, c} and B = {0, 1, 2, 3} A. {(a, 1), (c, 2), (c, 3), (b, 3)} B. {(a, 1), (b, 2), (c, 3)} C. {(1, a), (0, a), (2, c), (3, b)} D. {(c, 0), (b, 0), (a, 3)} I narrowed it down to either B or C, but I&#...
Thursday, August 9, 2012 at 12:21am
Calculus
Write the statements for the basis, the induction hypothesis, and the induction step for the questions below. 1. 1 + 2 +…+n = n(n+1)/2 2. 1/1*2 + 1/2*3+…+1/n*(n+1) = n/n+1
Wednesday, August 8, 2012 at 3:31pm
Calculus
This is a question from my textbook that does't have a solution and quite frankly I have no idea what to do. Any tips would be greatly appreciated. Given the function f defined by f(x) = 9 - x^2. Find the surface area bounded by the curve y = f(x), the x axis and the lines...
Wednesday, August 8, 2012 at 1:18pm
Calculus
Find the centroid of the area bounded by the parabola y = 4 - x^2 and the x-axis. A. (0,1.6) B. (0,1.7) C. (0,1.8) D. (0,1.9) Find the average value of the function i=15(1-3^-1/2t) from t=0 to t=4. A. 7.5(1+e^-2) B. 7.5(2+e^-2) C. 7.5(2-e^-2) D. 7.5(3-e^-2)
Tuesday, August 7, 2012 at 6:51pm
Calculus
Find the length in the first quadrant of the circle desribed by the polar equation r = 2sin theta + 4 cosTheta. The circle is graphed in the accompanying figure. A. (Square Root 2)Pi B. (Square Root 5)Pi C. 2Pi D. 5Pi
Tuesday, August 7, 2012 at 6:37pm
Calculus
Find the area under one arch of a cycloid describe by the parametric equations x=3(2Theta - sin 2Theta) and y= 3(1-cos2Theta). Use 0 and pi for the limiting values of Theta. A. 9Pi B. 18Pi C. 27Pi D. 36Pi Find the area in the first quadrant bounded by the arc of the circle ...
Tuesday, August 7, 2012 at 6:32pm
Calculus - Verification
Hello, I just wanted to verify this definite integral and if my answer is good: a = 1 and b = 4 integral of (1 - 1/x^2)(x^2 + 1/x) dx = (x + 1/x)(x^3/3 + lnx) + C (4 + 1/4)(64/3 + ln4) - (1 + 1)(1/3 + ln1) = 96.56 - 0.6666 = 95.89 THank you
Tuesday, August 7, 2012 at 5:53pm
Calculus
evaluate (integral) xe^2x dx A. 1/6x^2 e^3x+C B. 1/2xe^2x-1/2e^2x+C C. 1/2xe^2x-1/4e^2x+C D. 1/2x^2-1/8e^4x+C Evaluate (integral) e^3x cosh 2x dx A. 1/2e^5x + 1/2e^x +C B. 1/10e^5x + 1/2e^x + C C. 1/4e^3x + 1/2x + C D. 1/10e^5x + 1/5x + C
Tuesday, August 7, 2012 at 5:52pm
Calculus
Evaluate the following integral integral 1 = a and b = 4 of sinx dx/(1+cos)^2 u = cosx du = -sinx dx so from here I don't know if I can do: -1 du = sinx dx or 1/sin du = x dx
Tuesday, August 7, 2012 at 5:09pm
Calculus
(integral) e^3x dx A. e^3x+C B. 1/3e^3x+C C. e^4x+C D. 1/4e^4x+C Evaluate (integral) dx/(Square root 9-8x-x^2) A. sin^-1(x+4/5)+C B. sin^-1(x-4/5)+C C. Ln(Square root 9-8x-x^2)+C D. Ln(-8-2x)+C
Tuesday, August 7, 2012 at 4:53pm
Calculus - Riemann Sum
Given a function f(x) = squr(3 + 2x), on [-1,1], subdivided into 4 equally large intervals, calculate the Riemann sum SR4 = 4Ei=1 f(xi)delta(x). my attempt at the solution: [-1,1], a = -1 and b = 1 delta(x) = 1 - (-1)/n = 2/n xi = a + delta(x)i xi = -1 + 2/n(i) so after adding...
Monday, August 6, 2012 at 10:07pm
Calculus
Solve the differential equation dy/dx = -xe^y and determine the equation of the curve through P(1,2) I tried solving the differential equation and I get y = log(x^2/2 + C). Is this correct? Now I forgot how to find the equation. Thank you!
Monday, August 6, 2012 at 8:20pm
calculus
if log (x) = -0.123, what does x equal?
Monday, August 6, 2012 at 8:09pm
Calculus AB/AP
Use the rectangles with the given dimensions to approximate the area of the region in the first quadrant bounded by the graphs of y = 4 – x2 , y = 0, and x = 0. 4 _ 3|_|-. 2|_|-|-. 1|_|-|_|_ |_|_|_|_| 1 2
Monday, August 6, 2012 at 1:59pm
calculus
find one point on the graph of y= x+2cosx such that the tanget is horizontal
Monday, August 6, 2012 at 9:23am
Calculus
to evaluate (integral) 3x^2 cos (2x^3-4) dx, it is necessary to let A. u=3x^2 B. u=6x C. u=2x^3-4 D. u=6x^2
Saturday, August 4, 2012 at 9:44pm
Calculus
Which of the following is a step in evaluating. (Integral) cos^2 5x dx A. (Integral) 1+cos10x/2 dx B. (Integral) 1-cos10x/2 dx C. (Integral) 1+cos10x/20 dx D. (Integral) 1-cos10x/20 dx
Saturday, August 4, 2012 at 9:36pm
Calculus
Evaluate (integral) e^3x dx. A. e^3x + C B. 1/3e^3x + C C. e^4x + C D. 1/4e^4x + C
Saturday, August 4, 2012 at 9:24pm
Calculus
Evaluate (Integral) sin 4x cos^2 4x dx. A. Cos^3(4x)/3 + C B. -Cos^3(4x)/3 + C C. Cos^3(4x)/12 + C D. -Cos^3(4x)/12 + C
Saturday, August 4, 2012 at 9:16pm
Calculus
Evaluate (integral) cot 2x dx. A. 1/2Ln sin 2x+C B. 1/2Ln cos 2x+C C. 1/2Ln sec 2x+C D. 1/2LN csc 2x+C
Saturday, August 4, 2012 at 9:12pm
Calculus
Let V be the volume of a right circular cone having height h and radius r and assume that h and r vary with time. a. Express the time rate of change of the cylinder in terms of h, r and their rates of change. b. At a certain instant, the height is 10 in and decreasing at a ...
Saturday, August 4, 2012 at 8:13pm
calculus
simplify 6x^4-2xy^4 divided by 2xy
Thursday, August 2, 2012 at 7:11pm
Calculus AP
hi again im really need help TextBook: James Stewart:Essential Calculus, page 311. Here the problem #27: First make a substitution and then use integration by parts to evaluate the integral. Integral from sqrt(pi/2) TO sqrt(pi)of θ^3 cos(θ^2)dθ. i did my problem...
Thursday, August 2, 2012 at 5:59pm
calculus max area
Maximize volume of a pyramid cut from peice of paper. (Problem) A pyramid consists of 4 isosceles triangles around a square base. If this is to be cut and folded out of a single square piece of paper, Maximize the volume. I am not sure where to begin here. I know I am going to...
Thursday, August 2, 2012 at 3:20pm
Calculus Max Profit
To make pom poms in our school colors, we will have expenses of $100 to rent the Acme PomPom Plant, and then $0.25 per pom pom in materials. We believe that we can sell 500 pom poms if we charge $1.50. Assume the number sold is a linear function of the price. How much should ...
Thursday, August 2, 2012 at 2:34pm
Calculus
after t months on the job a postal clerk cn sort Q(t)=700-400e^-0.5t letters per hour. Wht is the average rate at which the clerk sorts mail during the first 3 months on the job. What is the average rte t which the clerk sorts mail during the first 3 months on the job? What is...
Wednesday, August 1, 2012 at 11:51pm
Calculus
A line in the first quadrant is tangent to the graph of y=1/x^2. How can we minimize the area between the line and the axes?
Wednesday, August 1, 2012 at 10:00pm
Calculus
consider the curved cylinder surface whose center line is the x axis and is between the planes x=0 and x=5.the radius is 4. Find the flux of <1,y,0> through it
Wednesday, August 1, 2012 at 8:29am
Calculus
find the flux of F=<0,y,z> across the parabolic sheet given by x=2y^2+2z^2+3, with x <= 5
Wednesday, August 1, 2012 at 8:18am
Pre-Calculus
If θ represents an angle such that sin2θ = tanθ - cos2θ, then sin θ - cosθ = A. -√2 B. 0 C. 1 D. 2√2 What equation can I use to solve this problem?
Tuesday, July 31, 2012 at 8:50pm
Calculus 1 Integration Trig Inverse
integral of (4/(x times the square root of (x^2-1)) + (1+x+x^3)/(1+x^2)dx
Monday, July 30, 2012 at 10:42pm
calculus
y=x^3=cx and y=ax^2+bx-1 have a common tangent at (-1,-4). find a, b, andc
Monday, July 30, 2012 at 8:17pm
calculus
So I am suppose to evaulate this problem y=tan^4(2x) and I am confused. my friend did this : 3 tan ^4 (2x) d sec^ 2x (2x)= 6 tan ^4 (2x) d sec^2 (2x) She says it's right but what confuses me is she deriving the 4 and made it a three? I did the problem like this: tan^4 (2x...
Saturday, July 28, 2012 at 9:23pm
Calculus AP
Evaluate the integral interval from [0 to pi] t sin(3t)dt Use integration by parts u=t and dv=sin(3t)dt. then du=dt and v=-cos(3t)/3 here is my problem but Im having problem to solve with pi. ∫t sin(3t)dt = -tcos(3t)/3 - ∫[-cos(3t)/3]dt =-tcos(3t)/3 + sin(3t)/9 ](o...
Thursday, July 26, 2012 at 11:25pm
calculus
can someone please explain why the answer to this is negative infinity? I keep getting positive. lim x--> - infinity x^3-2/x^2+x
Wednesday, July 25, 2012 at 10:33pm
Pre-Calculus
is f(x)=9x^(5/3) a power function?
Wednesday, July 25, 2012 at 9:39pm
Calculus
Find the area bounded by y= -0.5x+6, y= !/4 x and the y-axis. Sketch a graph of the two functions and shade in the area.
Wednesday, July 25, 2012 at 10:49am
Calculus
The area is bounded by y= x^3, x= 2 is rotated around the x-axis. Find the volume using calculus.
Tuesday, July 24, 2012 at 10:35am
calculus
Find the continuity of the region bounded by the two curves. y=x^2 and y=3x?
Monday, July 23, 2012 at 6:19pm
calculus
At noon, ship A is 100 kilometers due east of ship B. Ship A is sailing west at 12 k/h and ship B is sailing S10degrees west at 10 k/h. At what time will the ships be nearest each other and what will this distance be? (hint: You do not have a right triangle, unfortunately)
Monday, July 23, 2012 at 1:34pm
calculus
A trough has a trapezoidal cross section with a height of 5 m and horizontal sides of width 2.5 m and 5 m. Assume the length of the trough is 14 m. How much work (in joules) is required to pump the water out of the trough (to the level of the top of the trough) when it is full...
Monday, July 23, 2012 at 12:03pm
calculus
Compute the derivative for the following: n(x) = sin(x^3-5x^2+4x-7) Thanks, andy
Monday, July 23, 2012 at 11:21am
calculus
If I figured out average velocity can I use that to figure instantaneous velocity? There is no function. Thanks
Sunday, July 22, 2012 at 8:48pm
calculus
the graph (x^5-15*x^3 +10) is sketched without axes and not to scale. I found f'(x), set it to zero and got x=0, x=3, x=-3. these are critical numbers? I plugged them into original equation to find y (?) and got (0,10),3,-152)(-3, 172). I have to show for what intervals (...
Sunday, July 22, 2012 at 1:41pm
calculus
I don't understand how to do this problem find s(t) for a(t)= 3t^2, v(o)= 20 s(o)=5
Saturday, July 21, 2012 at 10:20pm
calculus
solve the differential equations subject to the given conditions. dy/dx= 4x^1/2 y=21 of x=4 is this derivative?!
Saturday, July 21, 2012 at 9:29pm
calculus
Please help me solve. I think increase = concave up and decrease = concave down? On the graph y = x^5-15x^3+10 for x what intervals is the function increasing, decreasing, concave up and concave down. Plot the critical points, plot and label the inflection points. Solve for ...
Saturday, July 21, 2012 at 4:31pm
Calculus
Use newtons method and the function f(x)=x^2-a to derive the mechanics rule. Mechanics Rule for approaching sqrt(a), a>0, is Xn+1=1/2(Xn+a/Xn), n=1,2,3,...
Friday, July 20, 2012 at 10:56pm
calculus
suppose you invest some money in an account at 6% compounded monthly, after four years you have $8000, how much interest did you earn
Friday, July 20, 2012 at 1:22pm
Calculus
it is assumed that the toothpaste market is perfectly competitive and the current price of a case of toothpaste is 42.00. CPI (the company) has estimated its marginal cost function to be as follows: MC (Marginal Costs) =.006Q (Quantity). The board would like to know how many ...
Friday, July 20, 2012 at 9:44am
calculus
f(x)=[lnx]^5
Thursday, July 19, 2012 at 7:12pm
Calculus Voulme
find the volume of the solid generated by revolving the region r bounded by the graphs of the given equations about the y-axis. x^2+y^2=1 x=1 y=1
Thursday, July 19, 2012 at 6:47pm
Calculus
Universal instruments found that the monthly demand for its new line of Galaxy Home Computers t months after placing the line on the market was given by D(t) = 2900 − 2300e−0.08t (t > 0) Graph this function and answer the following questions. (a) What is the ...
Thursday, July 19, 2012 at 6:22pm
Calculus
On the basis of data collected during an experiment, a biologist found that the growth of a fruit fly (Drisophila) with a limited food supply could be approximated by the exponential model below where t denotes the number of days since the beginning of the experiment. (a) What...
Thursday, July 19, 2012 at 6:21pm
calculus derivatives
Please confirm: {(5x+2)^4/x^2-3x+1)^3}= 20(5x+2)^2(x^2-3x+1)^3 -3x^2(5x+2)^4 (x^2-3x+1)^2/(x^2-3x+1)^6
Thursday, July 19, 2012 at 3:22pm
Business Calculus
Determine the intervals where f(x)=e^-x^2/2 is increasing and decreasing
Wednesday, July 18, 2012 at 6:05pm
Calculus
Find the point on the graph of function that is closest to the point. f(x)=x^2 (2,1/2)
Wednesday, July 18, 2012 at 5:51pm
Calculus
f(x)= 5ln(x)/x^7
Wednesday, July 18, 2012 at 5:50pm
calculus derivatives update
update yes, sorry I wrote it wrong (mx)= (x^5-5x^3 +7x-4)^10 * (4x^9 +19)^23 Thanks again
Wednesday, July 18, 2012 at 1:04pm
calculus/derivatives
I need to find the derivative and can't do them when they are raised to powers? Thank You. m(x)x^5 - 5x^3+7x -4)^10 (4x^9 +19)^23 this on is tuff!
Wednesday, July 18, 2012 at 12:43pm
calculus
find the area of a rectangle bounded by the axes and one of its corner is a point in a curve y=1/x.
Tuesday, July 17, 2012 at 9:28pm
Calculus
find the derivative of the function: f(x)=6ln(x)/x^9
Tuesday, July 17, 2012 at 3:56pm
Calculus
After its fastest rate of growth ever during the 1980s and 1990s, the rate of growth of world population is expected to slow dramatically in the twenty-first century. The function G(t) = 1.58e−0.213t gives the projected annual average percent population growth per decade...
Tuesday, July 17, 2012 at 3:47pm
calculus
A force of 13 N is needed to keep a spring with a 2-kg mass stretched 0.25 m beyond its natural length. The damping constant of the spring is c = 8. If the mass starts at the equilibrium position with a velocity of 0.5 m/s, find its position at time t.
Monday, July 16, 2012 at 3:08pm
Calculus
A farmer wants to build a rectangular pen and then divide it with two interior fences. The total area is to be 2484ft^2. The exterior fence costs $18.00 per foot and the interior fence costs $16.50 per foot. Find the dimensions of the pen that will minimize the cost. What is ...
Sunday, July 15, 2012 at 11:15pm
Calculus
Zoe purchased a house in 1999 for $196,000. In 2004, she sold the house and made a net profit of $80,000. Find the effective annual rate of return on her investment over the 5-year period. (Round your answer to the nearest hundredth of a percentage point.)
Sunday, July 15, 2012 at 10:30pm
Calculus
The Estradas are planning to buy a house 5 years from now. Housing experts in their area have estimated that the cost of a home will increase at a rate of 3%/year during that 5-year period. If this economic prediction holds true, how much can the Estradas expect to pay for a ...
Sunday, July 15, 2012 at 10:29pm
Calculus
Solve the equation (3^x)^2-12*3^x+27=0 Simplify and write without negative exponents: 3^2(x^-2y^3)^3/4^1/2*x^-4cuberooty^2
Sunday, July 15, 2012 at 9:37pm
Pre calculus
From h a point A that is 10 meters abov level ground, the angle of elevation of the top a building is 42 degrees and the angle of depression of the base of the building is 8 degrees approximate the height of the building
Sunday, July 15, 2012 at 8:26pm
Calculus
Write as a single logarithm of a single quantity ln(3)+1/2ln(x+2)-4ln(1+sqrtx)
Sunday, July 15, 2012 at 5:30pm
Calculus
(a) If a farmer plants x units of wheat in his field, 0 ≤ x ≤ 144, the yield will be 12x − (x^2/12) units. How much wheat should he plant for the maximum yield? (b) In the problem above, it costs the farmer $108 for each unit of wheat he plants, and he is ...
Sunday, July 15, 2012 at 2:02pm
Calculus
A baseball team plays in a stadium that holds 53,000 spectators. With ticket prices at $10, the average attendance had been 49,000. When ticket prices were lowered to $8, the average attendance rose to 51,000. (a) Find the demand function (price p as a function of attendance x...
Sunday, July 15, 2012 at 1:51pm
calculus?
Hello can u help? I need a solution to calculus problem I have $500.00 to spend on fencing for a garden. The fence for the street side costs $30.00 per foot and the other three sides cost $10.00 per foot. what dimensions will give you a rectangle for the largest possible area...
Saturday, July 14, 2012 at 12:56pm
calculus?
I want a rectanglular pen with area = 50 square feet and to save on fencing I will build it next to the garage. How should I design it so I use the least amount of fence-only 3 sides will be needed next to the garage. How can I figure out that I have found the maximum area for...
Saturday, July 14, 2012 at 11:29am
Math/calculus
a toy rocket is shot into the air at the top of a building so that its height above the ground t seconds after the rocket is launched is given by the formula h(t)= -3t cubed + 6t squared + 27t feet from liftoff until the rocket crashes into the ground. Find the maximum height ...
Friday, July 13, 2012 at 9:29pm
Calculus
What is the derivative of y = square root of 3x
Thursday, July 12, 2012 at 4:41pm
Calculus
what is the derivative of y=ã(3x)
Thursday, July 12, 2012 at 4:40pm
Calculus
Using the sequence below, write out a formula for the balance in the account n years after December 1996: Years Balance 1996 = $20,000 1997 = $22,000 1998 = $24,200 1999 = $26,620 2000 = $29,282 r = 1.1 and 2006 = 51,874.8492 Thanks
Thursday, July 12, 2012 at 1:03am
Calculus
Find the critical numbers of y=x(4-x)^1/2. The answer is x=8/3 but I got x=7/2.
Wednesday, July 11, 2012 at 12:01pm
AP Calculus
Find the sum of the first n terms of the sequence. The sequences are either arithmetic or geometric. 13. -1, 11, -121, ...; n = 9 A. 235,794,769 B. 429,981,696 C. -429,981,696 D. 196,495,641 E. -196,495,641 F. -235,794,769 I know that n = # of terms (9) d = -11 a = -1 formula...
Tuesday, July 10, 2012 at 9:58pm
Calculus
Write the sum using summation notation. 2 + 5 + 8 + 11 + ... + 29 Also, I know that it is going up by 3 units. But I am not sure how to get it into the form below: example: 15 ‡” k +3 k-1
Tuesday, July 10, 2012 at 7:47pm
Calculus
Find the first 4 terms and the 8th term of the recursively-defined sequence. 4. v1 = 0.75 and vn = (-2)vk-1 for n>1 A. 0.75, 1.5, -3, 6; -192 B. -1.5, -3, -6, -12; 192 C. -1.5, -3, -6, -12; -192 D. 0.75, 1.5, 3, 6; -192 E. 1.5, 3, 6, 12; 192 F 0.75, -1.5, 3, -6; 192 Can ...
Tuesday, July 10, 2012 at 5:24pm
Calculus
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=5x^(1/2) , y=4 and 2y+1x=6 I've been trying this problem for about 3 hours. Please help!!!!!
Tuesday, July 10, 2012 at 4:05pm
AP Calculus
Find the first 4 terms and the 8th term of the recursively-defined sequence. b1 = 2 and bk+1 = 3bk, for k>0 A. 6, 18, 54, 162; 13,122 B. 3, 6, 9, 12; 24 C. 5, 8, 11, 14; 26 D. 6, 12, 24, 48; 768 E. 2, 6, 18, 54; 4374 F. 2, 4, 8, 16; 256 Thanks!
Tuesday, July 10, 2012 at 1:40pm
Calculus
Sketch the region enclosed by the given curves.? Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3(x^(1/2)) , y=4, and 2y+3x=6 I have been working on this problem for the past 3 hours with a friend and we have just hit a brick wall. We ...
Tuesday, July 10, 2012 at 3:37am
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