Tuesday
May 5, 2015

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

Calculus
Find the derivative for f(x)=-x^2+x Do I put the -x^2 as a denominator? How would I solve it if that's what I'm supposed to do?
Sunday, November 30, 2014 at 1:16am

Calculus
Find limit as x approaches -1 (x^2+2x+3)/(x^2+1) A. 0 B. 1 C. Infinity D. DNE E. None of these
Sunday, November 30, 2014 at 1:11am

Calculus
Find limit as x approaches 1 5/(x-1)^2 A. 0 B. Negative infinity C. 5/4 D. Infinity If I use limit as h approaches 0 f(x+h)-f(x)/h , will I get an x in the answer?
Sunday, November 30, 2014 at 12:55am

Calculus
Find dy/dx if x^2+y^2=2xy A. x/(x-y) B. (y+x)/(y-x) C. 1 D. -x/y E. None of these Do I equal it to 0 and use implicit rule?
Sunday, November 30, 2014 at 12:49am

Calculus
Find f'(x) for f(x)=(2x^2+5)^7 A. 7(4x)^6 B. 7(4x)^7 C. 28x(2x^2+5)^7 D. 7(2x^2+5)^6 E. None of these Would it be none of these because of the 4x in the chain rule?
Sunday, November 30, 2014 at 12:43am

Calculus
Determine the limit as x approaches 1 f(x) if f(x)={3-x, x does not equal 1 and 1, x=1 A. 2 B. 1 C. 3/2 D. DNE E. None of these
Sunday, November 30, 2014 at 12:38am

math calculus
convert these symmetric equations to parametric form: line 1:(x-1)/k = (y-2)/2 = (z+1)/k-1 and line 2: (x+3)/-2 = (z)/1, y=-1
Saturday, November 29, 2014 at 7:49pm

math calculus
For the function: f(x)= 2+x-x^2/ (x-1)^2 ; f'(x)= x-5/(x-1)^3 ; f''(x)=2x-14/(x-1)^4 a)find vertical and horizontal asymptotes. Examine vertical asymptote on either side of discontinuity. b)find any local extrema c)find points of inflection
Saturday, November 29, 2014 at 7:45pm

Pre-Calculus
You have been hired by the Humane Society to construct six animal cages using 1400 feet of chain fence. Express the length and width using function notation. Include a graph with the area function with explanation of significance. Find the dimensions that maximize the total ...
Friday, November 28, 2014 at 11:33pm

Calculus I
An open box with square base is to be constructed. The material for the base costs $10 per square foot. The material for the sides costs $1 per square foot. the box must have an area of 100 square feet. Find the dimensions of the box that minimize cost. What I have so far: A...
Friday, November 28, 2014 at 9:41pm

Calculus
What is the smallest possible slope for a tangent to y=x^3 - 3x^2 + 5x? (I'm unsure how to approach this problem, if you know how to solve it, please explain step by step. THANK YOU!!!)
Friday, November 28, 2014 at 7:22pm

Calculus
An aquarium is to be constructed to hold 2160 in3. The base is to made of slate and the sides of glass. If slate costs 5 times as much as the glass per sq in, find the dimensions that will minimize the cost of constructing the aquarium. I started going about this problem by ...
Friday, November 28, 2014 at 11:34am

calculus
Baseball Star Bryan is standing at the top of the Sears Tower in Chicago and decides to throw a baseball up with a velocity of 5 m/s. The Sears Tower is 442 meters tall and gravity exerts a constant acceleration of -9.8 m/s/s. Ignore ball mass and wind resistance. a.) Find ...
Friday, November 28, 2014 at 9:37am

Calculus
solve the differential equation dy / dx = 11x^2y^2 with the condition that y(0) = 4 The solution to the equation is y =
Wednesday, November 26, 2014 at 10:16am

Brief Calculus
Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. (Round your answer to four significant digits.) Enclosed by y = e^x, y = 2x + 1, x = −2...
Tuesday, November 25, 2014 at 8:43pm

Calculus
5) Evaluate the definite integral. On the integral from 1 to e^7 ∫dx/x(1+lnx)
Tuesday, November 25, 2014 at 11:16am

Calculus
2) If f(x)=∫t^2dt not he integral from 4 to x^3 then f′(x)=?
Tuesday, November 25, 2014 at 11:14am

Calculus
20) Evaluate the definite integral. On the integral from e to e^3 ∫dx/xl(nx)^(1/2)
Tuesday, November 25, 2014 at 11:13am

Calculus
The sales of Universal Instruments in the first t years of its operation are approximated by the function S(t) = t 0.96t2 + 25 where S(t) is measured in millions of dollars. What were Universal's average yearly sales over its first 5 years of operation?
Tuesday, November 25, 2014 at 1:05am

calculus
A) Determine the vector equation of the plane that contains the following two lines: l1: vector r= [4,-3,5] + t[2,0,3], tER l2: vector r= [4,-3,5] + s[5,1,-1], sER b)Determine the corresponding Cartesian equation.
Monday, November 24, 2014 at 10:57pm

math calculus
if i,j,k are the standard unit basic vectors, in 3 space, determine the value of k dot(j-3k)+(i-4k) dot (i-4k)-8 |i cross -k| (Simplify without using components)
Monday, November 24, 2014 at 6:48pm

calculus
(i know i've asked so many questions. i just want to make sure my answers are right for this homework! hopefully it isn't too annoying for you :) ) Find the derivative of the given function. y=(tan^-1)√(3x) A. (1)/(√(1-3x)) B. (1)/(6√(3x(1+3x))) C. (3...
Monday, November 24, 2014 at 6:26pm

calculus
Me again. One last question! Again, just needed my answer verified with any explanation or walk-through. The position of a particle moving along a coordinate line is s=√(3+6t) with s in meters and t in seconds. find the particle's acceleration at t=1 second. a. 1 m/...
Monday, November 24, 2014 at 6:14pm

Calculus
What does y'' mean in calculus? Is there a word for it? Also is there a word for f'(x)? Thanks.
Monday, November 24, 2014 at 5:46pm

calculus
hello! i just needed help to verify or falsify my answer and any explanation as to why would be extremely helpful! thanks ahead of time. y=(x^2)-6x+10 a. at x=3 b. at x=0 c. at x=1 d. at x=-3 my answer was D. thanks again!
Monday, November 24, 2014 at 4:59pm

calculus
hello! i just needed help to verify or falsify my answer and any explanation as to why would be extremely helpful! thanks ahead of time. y=(x^2)-6x+10 a. at x=3 b. at x=0 c. at x=1 d. at x=-3 my answer was D. thanks again!
Monday, November 24, 2014 at 4:58pm

Brief Calculus
Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Between y = −x and y = −x^3 for x in [−1, 1]
Monday, November 24, 2014 at 2:31pm

Calculus
11) Find the following indefinite integrals. ∫x/(x+9)^(1/2)dx
Monday, November 24, 2014 at 10:14am

Calculus
10) Evaluate the integral by making the given substitution. ∫sec(5x)tan(5x)dx u=5x
Monday, November 24, 2014 at 10:13am

Calculus
9)Evaluate the indefinite integral. ∫x^8e^(x^9)dx
Monday, November 24, 2014 at 10:12am

Calculus
6) Evaluate the indefinite integral. ∫cosx/(7sinx+35)dx
Monday, November 24, 2014 at 10:11am

Calculus
5) Evaluate the definite integral. On the integral from 1 to e^7 ∫dx/x(1+lnx)=?
Monday, November 24, 2014 at 8:47am

Calculus
4) On the integral from 1 to 2 ∫(4x^2+4)/x^2dx =?
Monday, November 24, 2014 at 8:46am

Calculus
2) If f(x)=∫t^2dt on the interval from 4 to x^3 then f′(x)=?
Monday, November 24, 2014 at 8:44am

Calculus
h(t)= -16t^2 + v0t. How fast is the object moving after 5 seconds?
Sunday, November 23, 2014 at 9:20pm

Calculus
Use Riemann sums and limits to compute the area bounded by f(x) = 10x+9 and the x axis between x=10 to x =5 The area is = to
Sunday, November 23, 2014 at 1:41pm

Calculus
Find the x-values of all points where the function below has any relative extrema. Find the values(s)of any relative extrema. G(x)=(x-3)^2/x-4. How do I solve this?
Sunday, November 23, 2014 at 12:27pm

Calculus
Find the volume of the solid obtained by rotating the region bounded by the curves: 2x = -y^2 y^2 = -x + 2 y = 0 for y >= 0 about the x-axis. Not sure how to do this one, could anybody help me identify what this looks like and how to identify the outer/inner radius? Thanks
Sunday, November 23, 2014 at 3:17am

Calculus
Find the volume of the solid obtained by rotating the region bounded by the curves: y = x^2 and x = y^2 about the line y = 1. I received the answer pi/30, using the outer radius of (1 - x^2) and the inner radius of (1 - x^(1/2)). Is this correct?
Sunday, November 23, 2014 at 12:45am

Calculus
For f(x)= (x+3)^2/(4x-5) find all x such that f(x) increases.
Saturday, November 22, 2014 at 7:28pm

Calculus
Of the infinitely many lines that are tangent to the curve y = −7 sin x and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.
Thursday, November 20, 2014 at 9:05pm

Pre Calculus
The logistic growth function P(t)= 160/ 1 + 9e^-0.165t describes the population of the endangered species of elk "t" years after they were introduced into the habitat. a. How many elk were initially introduced into the habitat? b. How many elk are expected after 6 ...
Thursday, November 20, 2014 at 3:43pm

Pre Calculus
If a 25 mg sample of radioactive material decays to 18.4 mg in 5 years, how long will it take the sample to decay to 20.5 mg?
Thursday, November 20, 2014 at 3:42pm

Pre Calculus
You invest $4500 into an account that earns 6.5% interest compounded monthly. How long will it take for the account to double in its value?
Thursday, November 20, 2014 at 3:41pm

Pre Calculus
The population of a city is 127,000 and is decreasing by 2.4% each year. a. What will the population be in 10 years? b. Find when the population will be 95,000
Thursday, November 20, 2014 at 3:40pm

Pre-Calculus
Suppose person A collaborated with person B, who has collaborated with person C, who has collaborated with Paul Erdös. Suppose also that person B never collaborated with Paul Erdös and person A never collaborated with anyone with an Erdös number of 1 or less. ...
Thursday, November 20, 2014 at 2:12pm

Calculus Please check
Please check my answers and let me know if I did something wrong. Thank you! Find the partial derivative of x, and the partial derivative of y, then the partial derivative of x (1,-1), and the partal derivative of y (1,-1). f(x,y) = x^4 y^2 -x here is what I got @f/@x = 3x^3 y...
Thursday, November 20, 2014 at 9:30am

calculus
Consider a 10in by 14in rectangle to which you make square cuts of side length "x" in each corner, then fold the sides and form a box of height "x". What should "x" be to maximize the volume of the box?
Wednesday, November 19, 2014 at 9:34pm

Calculus (PLEASE HELP ASAP!)
Find f(x) satisfying the given conditions: 1) f"(x) = 1/x^3 f'(1) = 1/2 f(1) = 0 2) f"'(x) = sin (x) f"(0) = 0 f'(0) = 1 f(0) = 0
Wednesday, November 19, 2014 at 7:43am

Calculus
Find the derivative of y=xe^-x^2. Is the x being multiplied by (e^-x^2)? Product rule? I don't understand how to approach this problem.
Tuesday, November 18, 2014 at 8:27pm

Integral Calculus
integral r(r^2 - 1) / (r^2+1) integral (e^t-e^-t)^2 integral (1-2x)^2 / x
Tuesday, November 18, 2014 at 6:31pm

Calculus
The Fellowship of the Ring was broken when Boromir momentarily betrayed Frodo Baggins. By the time Aragorn tried to find Frodo, he and Sam were already 1 km to the east crossing the lake. Since Frodo’s destiny was out of his hands, Aragorn took the remaining members to ...
Tuesday, November 18, 2014 at 1:07am

calculus
Find two positive numbers that satisfy the given requirements: The product is 147 and the sum of the first number plus three times the second number is minimum
Monday, November 17, 2014 at 6:00pm

Pre-Calculus
The solution of the system of three inequalities is given by a polygonal convex set. 8x + 2y ≥ 36 -3x + 6y ≤ 27 -7x + 5y ≥ -18 The function f(x,y) = 9x + 5y passes through this set. What values of (x,y) give f(x,y) its maximum value? A)(-3, 2) B)(-3, 6) C)(9...
Monday, November 17, 2014 at 1:47pm

Calculus
You are driving at 20 m/s when you notice a tree blocking the road, 30 meters ahead of you. It takes you half a second to react before slamming on the brakes. Your car decelerates at a constant 10 m/s2. How far does your car travel before stopping? Will you hit the tree?
Monday, November 17, 2014 at 12:11pm

Calculus
The rectangles in the graph illustrates a left endpoint Riemann sum for f(x)=−(x^2/4)+2x on the interval [3,7]. The value of this left endpoint Riemann sum is? The rectangles in the graph illustrates a right endpoint Riemann sum for f(x)=−(x^2/4)+2x on the interval...
Monday, November 17, 2014 at 10:57am

Calculus
The rectangles in the graph illustrate a left endpoint Riemann sum for f(x)=x^2/8 on the interval [4,8]. The value of this left endpoint Riemann sum is? The rectangles in the graph illustrate a right endpoint Riemann sum for f(x)=x^2/8 on the interval [4,8]. The value of this ...
Monday, November 17, 2014 at 10:56am

Calculus - PLEASE HELP!!
For any real number x there is a unique integer n such that n≤x<n+1, and the greatest integer function is defined as ⌊x⌋=n. Where are the critical values of the greatest integer function? Which are local maxima and which are local minima?
Monday, November 17, 2014 at 4:16am

Calculus Can you help
Suppose the functions f and g and their derivatives have the following values at x = 1 and x = 2. Let h(x) = f(g(x)). Evaluate h′(1). X | f(x) G(x) f'(x) g'(x) ____________________________ 1 | 8 2 1/3 -3 2 | 3 -4 2π 5 My answer: -6π but I'm not ...
Monday, November 17, 2014 at 12:13am

Calculus
This is the question: i[dot]imgur[dot]com/EHneTuB[dot]jpg Am i correct in simply adding 1 + (-3), and equates to (-2) being the answer.
Sunday, November 16, 2014 at 9:17pm

calculus
1. A particle moves along the x-axis, it's position at timer given by x(t)=t/(1+t^2), t greater than or equal to 0,where t is measured in seconds and x in meters. a) find the velocity at time t. I am a little confused.. Do I find the derivative by using the quotient rule? ...
Sunday, November 16, 2014 at 9:16pm

Calculus Help
If f(x) = sin(7 − 5x), find f′(π), which is the derivative at π: −0.754 −0.657 0 0.657 3.770 I chose 0.657 ... I did not really get this exact answer, its just that while I was trying to figure this out my answer was actually 0.6978 but I just...
Sunday, November 16, 2014 at 9:14pm

Calculus
If I derive the following, d/dt((a)S(t^2) of (s)^(1/2)ds with S being integral notation (a) being at the bottom of the notation and being a constant (t^2) being at the top of the notation ..I first apply the fundamental theorem of calculus to get.. (t^2)^(1/2) (2t) simplified ...
Sunday, November 16, 2014 at 7:38pm

Calculus
These two q's for my homework I am very confused on how to do: First Question: Using Newton’s method, approximate the value of √5 up to 2 decimal points starting with x1 = 3. 2nd Question: Thomas Malthus was an economist that predicted that the population grows ...
Sunday, November 16, 2014 at 5:46pm

Math (calculus)
Prof gave us this question to practice but I do not know how to solve it. If you know please provide step by step with the answer so I can understand it. Thank you very much :) Suppose a rocket is launched from the ground with 10 seconds worth of fuel. The rocket has an upward...
Sunday, November 16, 2014 at 2:32pm

Calculus I (PLEASE HELP!)
These two q's for my homework I am very confused on how to do: First Question: Using Newton’s method, approximate the value of √5 up to 2 decimal points starting with x1 = 3. 2nd Question: Thomas Malthus was an economist that predicted that the population grows ...
Sunday, November 16, 2014 at 2:06pm

Calculus
This is a definite integral question. Evaluate the following integral: (0)S(a)((x)((a^2 - x^2)^(1/2)))dx with a being a constant and the (0) being at the bottom of the integral notation and (a) at the top. S is the integral notation. I firstly checked whether the function was ...
Saturday, November 15, 2014 at 10:17pm

Calculus
A piece of wire x cm long is to be cut into two pieces, each to bent to be a square. the length of a side of one square is to be 9 times the length of a side of the other . Express the sum of the areas of two squares in term of x .
Saturday, November 15, 2014 at 3:49pm

calculus
it costs 8 dollars to manufacture and distribute a backpack.If the backpack sell at x dollar each, the number sold , n, is given by n= 3/(x-8)+5(100-x) . Find the selling price that will maximize the profit.
Saturday, November 15, 2014 at 3:46pm

calculus
object 380 ft above surface of globe. Horizon is 65.3 degrees from object. What is circumference of globe?
Saturday, November 15, 2014 at 1:53am

Calculus
The maker of an automobile advertises that it takes 11 seconds to accelerate from 15 kilometers per hour to 90 kilometers per hour. Assuming constant acceleration, compute the following. What is the distance the car travels during the 11 seconds (Round your answer to two ...
Friday, November 14, 2014 at 10:11pm

Pre-Calculus
Use a graphing calculator to write a polynomial function to model this set of data {(5,2) (7,5) (8,6) (10,4) (11, -1) (12 -3) (15,5) (16,9)} A) f(x) = 2x3 + 2.70x2 + 0.09x - 65.21 B) f(x) = 2x3 - 0.09x - 65.21 C) f(x) = 0.09x3 - 2.70x2 + 24.63x - 65.21 D) f(x) = x4 - 5.7x3 + 2...
Friday, November 14, 2014 at 1:49pm

Calculus
Find the equation of the line tangent to the function f(x)= square root of (x^3 + 4x) through the point (2,4)
Friday, November 14, 2014 at 2:18am

Calculus Please Help
I think I have the right answer, but I am not 100% sure how to do the values at (1,-1) and the one below at (0,-1, 1). Please explain how I need to approach how to do these. Thank You! Calculate the partial derivative @f/@x, @f/@y and @f/@x | (1,-1), and @f/@y | (1,-1) f(x,y...
Thursday, November 13, 2014 at 11:52pm

Calculus
A particle is moving with the given data. Find the position of the particle. a(t) = t^2 − 8t + 5, s(0) = 0, s(1) = 20
Thursday, November 13, 2014 at 10:33pm

Calculus
Differentiate. f(x)=cos x/x Is it (-x sin x - cos x)/x^2
Wednesday, November 12, 2014 at 11:33pm

Calculus - PLEASE HELP!!
Use L'Hospital's Rule to solve: lim u --> 1 of (u-1)^3/ ((1/u) - u^2 + (3/u) - 3) Ok, so what I thought was that it is type 0/0 so taking the derivatives of the top and bottom 3(u-1)^2 /(-u^-2 -2u - 3u^-3) and subbing in u = 1 = 0/-6 = 0
Wednesday, November 12, 2014 at 11:15pm

calculus
A ball is thrown 12 meters in the air (so that the initial up-and-down distance is 24 meters). The ball rebounds 95% of the distance it falls. What is the total vertical distance traveled by the ball before it stops bouncing?
Wednesday, November 12, 2014 at 9:39pm

Calculus
Find the equation of the tangent line to f(x)=x sec x at ((pi/4),(pi•sqrt 2)/4). Please check my derivative .. Is it (sin^2(x)+ 1)/cos^3 (x)?
Wednesday, November 12, 2014 at 9:29pm

Pre-Calculus
Identify the slope of the asymptotes of 5(y -1)2 - 20(x - 1)2 =64. A) 2 and -2 B) 64 and -64 C) 5 and -5 D) 0.25 and -0.25
Wednesday, November 12, 2014 at 6:18pm

Calculus
Find the general indefinite integral ∫ v(v3+5)2dv
Wednesday, November 12, 2014 at 4:00pm

calculus
1) A particle is moving with acceleration a(t)=36t+10. its position at time t=0 is s(0)=16 and its velocity at time t=0 is v(0)=9. What is its position at time t=11?
Wednesday, November 12, 2014 at 3:55pm

Calculus
9) The rectangles in the graph illustrate a left endpoint Riemann sum for f(x)=(x^2/8) on the interval [4,8]. What is the value of this left endpoint Riemann sum? The rectangles in the graph illustrate a right endpoint Riemann sum for f(x)=(x^2/8) on the interval [4,8]. what ...
Wednesday, November 12, 2014 at 3:25pm

calculus
7) Consider the function f(x)=(10/x^2)−(2/x^6). Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(x)= ?
Wednesday, November 12, 2014 at 10:46am

Pre-Calculus
I really need help on this question Simplify the expression by using a Double-Angle formula or a Half-Angle Formula cos^2 0/2-sin^2 0/2
Wednesday, November 12, 2014 at 3:18am

Pre-Calculus
Use an Addition or Subtraction Formula to find the exact value of the expression: tan7π/12
Wednesday, November 12, 2014 at 2:57am

Pre-Calculus
Prove the identity: cos(x-π/2)=sin x
Wednesday, November 12, 2014 at 2:51am

Pre-Calculus
Simplify the trigonometric expression: cos^3x+sin^2x cos x
Wednesday, November 12, 2014 at 2:45am

Calculus
Find f"(x). f(x) = x^3 - (5/x)
Tuesday, November 11, 2014 at 10:12pm

calculus related rates
Boyle’s law for the expansion of a gas is PV = k, where P is the pressure (in pounds per unit of area), V is the volume of the gas, and k is a constant. Find the expression that shows the rate of change of the pressure as related to the rate of change of the volume. dP/...
Tuesday, November 11, 2014 at 9:24pm

calculus inverted cone
A container in the shape of an inverted cone has radius 6 ft and height 12 ft. It is being drained at 2〖ft〗^3/min. Find the rate of change of the height of the liquid in the cone when the height is 3 feet. The ratio of the radius to the height remains constant.
Tuesday, November 11, 2014 at 9:05pm

Calculus
Find the degree 3 Taylor polynomial approximation to the function f(x)=8ln(sec(x)) about the point a=0 .
Tuesday, November 11, 2014 at 2:36pm

Calculus
did i use the chain rule correctly? y=(8x^4-5x^2+1)^4 d(f(x)/dx =d/dx ((8x^4-5x^2+1)^4) =4*(8x^4-5x^2+1)^3*d/dx(8x^4-5x^2+1) =4*(8*d/dx(x^4)-5*d/dx(x^2))*(8x^4-5x^2+​1)^3 =4*(8*4x^3-5*2x)*(8x^4-5x^2+1)^3 =4*(32x^3-10x)*(8x^4-5x^2+1)^3
Tuesday, November 11, 2014 at 2:11am

Calculus
How do I find the derivative of y=(8x^4-5x^2+1)^4
Tuesday, November 11, 2014 at 1:19am

Calculus
What does this equation mean? X = Cos (T) * Phi ^ ((2 / Pi) * T) Y = Sin (T) * P
Monday, November 10, 2014 at 11:07pm

Calculus
can you show me how to solve an equation using the chain rule
Monday, November 10, 2014 at 10:13pm

Calculus
can you please explain the chain rule in simple terms. thank you
Monday, November 10, 2014 at 9:28pm

calculus
A wire 360cm is cut into two pieces.One piece is formed into a square and the other is formed into a circle.If two figures have the same area,what are the two lenghts of two pieces of wire( to the nearest hundreth of centimeter?,show all the necessary working clearly.
Monday, November 10, 2014 at 11:54am

Calculus
Hello. I have a few questions from my study guide, that I need to know to study for my test. 1) x^(2/3)*((5/2)-(x) a) determine the ordered pairs of the local extrema of the function. Use the second derivative test. B) determine the ordered pairs of all inflection points of ...
Monday, November 10, 2014 at 11:48am

Calculus angle of elevation with elevator
An observer is 20m above the ground floor of a large hotel atrium looking at a glass-enclosed elevator shaft that is 18m horizontally from the observer. The angle of elevation of the elevator is the angle of the observer's line of sight makes with the horizontal (it may be...
Monday, November 10, 2014 at 11:16am

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Homework Help: Math

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