Homework Help: Math: Calculus

Recent Homework Questions About Calculus

calculus help please!
The infamous Wile E. Coyote has been chasing the Roadrunner again. His latest idea for a trap involved launching an enormous boulder (about 16ft in diameter) up to a height of 750 ft, hoping that it would come down crashing on the unsuspecting Roadrunner. Unfortunately, as ...
Tuesday, March 12, 2013 at 12:54am

math
Television Jim’s mother watches a lot of TV. The screen is 30 inches tall and the bottom of the screen is 6 inches above her eye level while sitting in her favorite chair. To optimize her viewing experience, Jim wishes to calculate how far from the screen she should sit. ...
Monday, March 11, 2013 at 11:07pm

calculus
Based on data from 1999 to 2001, the rate of change in the annual net sales of Pepsi-Cola North America may be modeled by R(t) = −131t − 749.5 million dollars per year and the rate of change in the annual operating profit may be modeled by P(t) = 12t + 76 million ...
Monday, March 11, 2013 at 3:19pm

calculus
Integrate using the simplest method possible: ∫(2t-3) ln⁡ t dt
Monday, March 11, 2013 at 3:11pm

calculus
Integrate using the simplest method possible: ∫(t – 1)5(2t – 7)dt
Monday, March 11, 2013 at 3:06pm

calculus
Please help . confused here. The rate of change of an investment account earning continuous compound interest is given by dA/dt=kA where k is a positive constant. The initial account value was $2500. At the end of the third year, the account value was $4200. Find the ...
Monday, March 11, 2013 at 3:03pm

calculus
Use integration by parts to find ∫ 2x e-x dx.
Monday, March 11, 2013 at 3:02pm

calculus
Find the general solution to the differential equation: yy’ – x2 = 3.
Monday, March 11, 2013 at 2:58pm

Calculus
Find an equation of the tangent line to the given curve at the specified point: y=sqrt(x)/x+1, (4,2/5)
Monday, March 11, 2013 at 2:52pm

Math
Television Jim’s mother watches a lot of TV. The screen is 30 inches tall and the bottom of the screen is 6 inches above her eye level while sitting in her favorite chair. To optimize her viewing experience, Jim wishes to calculate how far from the screen she should sit. ...
Monday, March 11, 2013 at 1:16pm

Math
Can in a Cone Find the volume of the largest can that can fit entirely under a cone with volume 900 cubic cm. 1.draw pictures of at least THREE different cases (including the endpoints if any). 2. define all variables CLEARLY (with words) and then use those variables ...
Monday, March 11, 2013 at 1:16pm

Calculus
The area of a wetland drops by 1/4 every 8 years. What percent of its total area disappears after 40 years? Percent lost %?
Monday, March 11, 2013 at 12:55pm

Calculus
For the following demand equation compute the elasticity of demand and determine whether the demand is elastic, unitary, or inelastic at the indicated price. (Round your answer to three decimal places.) x + (1/9)p - 27 =0 ; p=23
Monday, March 11, 2013 at 12:00am

Maximum Area-Calculus-Edit
We have 900 ft of fencing and we want to construct a back yard. If we are using the building as part of the barrier for the yard what are the dimensions that allow maximum area? I am not even sure how to start though I know I am supposed to calculate the derivative of the ...
Sunday, March 10, 2013 at 9:09pm

Concavity-Calculus
Determine the concavity for f(x)= 4/x^2-1 I took the second derivative and solved for zeros. I got x=-1 and x=1. However when plugged into the orig. equation this results in 4/0 (undefined). Does this mean there is no concavity?
Sunday, March 10, 2013 at 7:46pm

Calculus Derivative- Taylor Series?
let f(x)= x/x-1 find f'(x) f ''(x) and a formula for f ^ (n) * x. I found the first and second derivatives but do not know how to make a general equation for this. I have not learnt the Taylor or Maclaurin Series either. Thank you.
Sunday, March 10, 2013 at 5:37pm

Calculus
Evaluate \displaystyle \int_1^{10} \left(\sqrt{x} + 1\right)^3 dx - \int_1^{10} \left(\sqrt{x} - 1\right)^3 dx .
Sunday, March 10, 2013 at 4:57pm

calculus
Let f(x)=e^(x2). By the Mean Value Theorem, there exists a point c such that f′(c)=f(6)−f(4)6−4 with c between 4 and 6. Approximate c to within two decimal places; we're asking you to approximate c, because you can't "solve" for c.
Saturday, March 9, 2013 at 3:08pm

calculus
Use a linear approximation of f(x)=^3√x at x=8 to approximate ^3√7. Express your answer as an exact fraction.
Saturday, March 9, 2013 at 2:42pm

calculus
Use the Euler Method with a step size of 0.2 to estimate f(3) where f′(x)=2x−7 and f(2)=4. Your answer should be correct to two decimal places.
Saturday, March 9, 2013 at 2:06pm

calculus
Use a linear approximation of f(x)=log(x) at x=1 to approximate log(3/4). Express your answer as an exact fraction; remember that log denotes the natural log.
Saturday, March 9, 2013 at 1:49pm

calculus
Based on data from 1993 to 2000, the rate of change in the annual per capita personal income in New Mexico may be modeled by R(t)= 8.45t2 + 45.94t + 723.00 dollars per person per year, where t is the number of years since the end of 1993. (Source: Modeled from Bureau of ...
Friday, March 8, 2013 at 10:02pm

calculus
If the ∫_8 f(x)dx=22 0 and ∫3 f(x) dx =9, then find 0 ∫ 8 f(x) dx 3
Friday, March 8, 2013 at 9:56pm

calculus
∫1(3e^x+3x^2 )dx 0
Friday, March 8, 2013 at 9:41pm

calculus
Calculate the indefinite integral: ∫(4x-3/x)dx
Friday, March 8, 2013 at 9:05pm

physics
Two identical +9.5uF point charges are initially 3.5cm from each other. If they are released at the same instant from rest, how fast will each be moving when they are very far away from each other? Assume they have identical masses of 2.0mg (P.s. I am not in calculus) so the ...
Friday, March 8, 2013 at 6:50pm

Calculus
How would I solve the limit for this sequence. [n^(2)]*[1-cos(2.4/n)] I used L'Hopital's rule by putting n^(-2) in the bottom, but I got the wrong answer of -1.44 in the end. Please help, thanks!
Friday, March 8, 2013 at 4:58pm

Applied Calculus
If an open box is made from a tin sheet 7 in. square by cutting out identical squares from each corner and bending up the resulting flaps, determine the dimensions of the largest box that can be made. (Round your answers to two decimal places.) Height: Length: Width:
Friday, March 8, 2013 at 4:55pm

Calculus
How would I go about finding the limit of this sequence: (e^(2n)+6n)^(1/n) Please explain the steps, it'd be super helpful! Thanks!
Friday, March 8, 2013 at 4:00pm

Calculus
a ladder 6m long is leaning against a wall. if the top of th ladder is slipping down at th rate of 13 m/s, how fast is the bottom moving away from the wall when it is 5m from the wall? (answer in m/s) Please Help Before 230 pm central time
Friday, March 8, 2013 at 2:21pm

calculus
Evaluate lim x→−∞ (−7x/√x^2+14)+8
Friday, March 8, 2013 at 3:55am

Calculus
a grapefruit is tossed straight up with an initial velocity of 50 ft/sec. the grapefruit is 5ft above ground when released. how high does it go before returning to the ground equation? Equation of height in terms of time y= -16t^2+50t+5
Friday, March 8, 2013 at 2:52am

Calculus
Evaluate \displaystyle \lim_{x \to 0} \frac{e^{44x} - 1}{x^2+2x}.
Thursday, March 7, 2013 at 10:46pm

pre-calculus
find the common difference in an arithmetic sequence in which a(sub 15)-a(sub7)=-1. what should i start with ??
Thursday, March 7, 2013 at 8:46pm

Calculus
square root of (12), square root of (12 + square root of (12)), square root of (12+ square root of (12+ square root of (12))) Write a recursion formaula for an(subcription), n greater than or equal to 2.
Thursday, March 7, 2013 at 6:30pm

Pre-Calculus
Find the inverse of the following quadratic equation. Hint: Complete the square first. y= 2x²+16x-5
Thursday, March 7, 2013 at 12:50am

Pre-Calculus
Find the inverse of the following quadratic equation. Hint: Complete the square first. y= x²+14x+50
Thursday, March 7, 2013 at 12:25am

Calculus
With is the integral of (9(sinx+cosx))/sin(2x)
Thursday, March 7, 2013 at 12:22am

Calculus
Given that \displaystyle \int_0^4 x^3\sqrt{9+x^2} dx = a, what is the value of \lfloor a \rfloor?
Thursday, March 7, 2013 at 12:03am

Calculus
An ocean oil well is leaking oil into the ocean at a rate of 1 m3/hr resulting in an oil slick in the form of a circular disk (like a quarter or dime). If the slick remains in the shape of a disk with a constant thickness of 1/100 m as the disk expands, determine the rate at ...
Wednesday, March 6, 2013 at 11:27pm

Calculus
A jogger runs around a circular track of radius 65 ft. Let (x,y) be her coordinates, where the origin is the center of the track. When the jogger's coordinates are (39, 52), her x -coordinate is changing at a rate of 15ft/s. Find (dy/dx)
Wednesday, March 6, 2013 at 10:14pm

Calculus
Find relative maxima and minima of g(x)= 2x^2+ 4000/x +10
Wednesday, March 6, 2013 at 10:09pm

calculus
Let f(x)=ax^3+6x^2+bx+4. Determine the constants a and b so that f has a relative minimu at x=-1 and a relative maximumat x=2.
Wednesday, March 6, 2013 at 10:06pm

Applied Calculus
Find the absolute maximum and absolute minimum values, if any, of the function. (If an answer does not exist, enter DNE.) h(x) = x3 + 3x2 + 4 on [−3, 2]
Wednesday, March 6, 2013 at 7:58pm

calculus
Find the partial fractions for (3x^2-7x+12)/(x-2)(x^2-2x+5)
Wednesday, March 6, 2013 at 5:46pm

CALCULUS
For some positive constant C, a patient's temperature change, T , due to a dose,D , of a drug is given by T=(c/2-D/3)D^2 What dosage maximizes the temperature change The sensitivity of the body to the drug is defined as . What dosage maximizes sensitivity?
Wednesday, March 6, 2013 at 4:48pm

Calculus
Find constants a and b in the function f(x)=axe^(bX) such that f(1/8)=1 and the function has a local maximum at x=1/8.
Wednesday, March 6, 2013 at 4:09pm

calculus
A brick becomes dislodged from the top of a state building (at a height of 1290 feet) and falls to the sidewalk below. (a) Write the position, velocity, and acceleration functions of the brick. s(t) = v(t) = a(t) = (b) How long does it take the brick to hit the sidewalk? (c) ...
Wednesday, March 6, 2013 at 3:46pm

Calculus Derivative
I'm trying to calculate the derivative of this: P= mv/ sqrt(1-v^2/c^2)where m and c are constants, and v depends on t. I know about the chain and product rules but I'm not even sure where to start. :/ Thank you for your help.
Wednesday, March 6, 2013 at 3:38pm

Calculus
A rectangular storage container with an open top is to have a volume of 10m^3. The length of its base is twice the width. Material for the base costs $3 per m^2. Material for the sides costs $10.8 per m^2. Find the dimensions of the container which will minimize cost and the ...
Wednesday, March 6, 2013 at 2:15pm

Calculus Optimization Problem
Find two positive numbers whose sum is 15 such that the product of the first and the square of the second is maximal. I came up with this so far: x + y = 15 xy^2 is the maximum derivative of xy^2= 2xyy' + y^2 Now how do I solve this ^ after I set it to zero? I am stuck on ...
Wednesday, March 6, 2013 at 1:10pm

Math-Calculus
Please Help D:. Min/Max Problems 4. Joan has 50ft of interlocking stone available of fencing off a flower garden in the form of a circular sector. Find the radius of the circle that will yield a flower garden with the largest are if Joan uses all the stone.
Wednesday, March 6, 2013 at 12:57pm

Calculus
The location of a dot P at a given time t in the x-y plane is given by (x,y) = (t - sin t, 1 - cos t). What is the distance traveled by P in the interval 0 <= t <= 2pi
Wednesday, March 6, 2013 at 6:37am

calculus
Evaluate the following line integral: ∮C[(4x^2+3x+5y)dx+(6x^2+5x+3y)dy] where C is the path around the square with vertices (0,0),(2,0),(2,2) and (0,2).
Tuesday, March 5, 2013 at 10:57pm

calculus
Solve following equations e^2x-4e^x+3=03
Tuesday, March 5, 2013 at 7:54pm

calculus
e^2x-4e^x+3=03
Tuesday, March 5, 2013 at 7:35pm

calculus
Please show me how you do this. Thank you. Calculate the definite integral: 2 ∫_ 2x dx 7
Tuesday, March 5, 2013 at 7:16pm

calculus
The radius of a circular oil spill is increasing at a rate of 10 feet per hour. How quickly is the surface area changing when the radius is 200 feet? Please help... Lost
Tuesday, March 5, 2013 at 6:15pm

math, calculus
A 3-dimensional structure is obtained from rotating the parabola y=x^2 about the y-axis. Each second, 2π units^3 of water is being poured into the structure from the top. When 8π units^3 of water has been poured in the structure, the instantaneous change in water ...
Tuesday, March 5, 2013 at 1:44pm

Calculus
Determine if the series converges or diverges. Sum (n=1, infinity) (2*4*6...2n)/n! My main problem is I have no idea what to do with the numerator.
Monday, March 4, 2013 at 10:33pm

Calculus
At 2:00 PM a car's speedometer reads 30 mi/h. At 2:10 PM it reads 50 mi/h. Show that at some time between 2:00 and 2:10 the acceleration is exactly 120 mi/h^2.
Monday, March 4, 2013 at 9:37pm

Calculus
Suppose that 3<= f'(x) <=5 for all values of x. Show that 18 <= f(8)-f(2) <=30.
Monday, March 4, 2013 at 9:34pm

calculus
Find the derivative of the function. f(x) = 9/((7x^2-12)^(1/2))
Monday, March 4, 2013 at 9:23pm

Calculus
At what value of x does the graph of y=9x^(1/3)+x^2 have a point of inflection?
Monday, March 4, 2013 at 7:01pm

Calculus
The position of a particle moving on a horizontal line is given by s(t)=2t^3-15t^2+24t-5, where s is measured in feet and t in seconds. a: What is the initial position of the particle? b: What is the average velocity of the particle on the interval [0,2]?Indicate units of ...
Monday, March 4, 2013 at 6:59pm

Pre Calculus
A contractor is to fence off a rectangular field along a straight river, the side along the river requiring no fence. What is the least amount of fencing needed to fence of 30,000 meters squared?
Monday, March 4, 2013 at 6:08pm

Calculus
Determine convergence or divergence for the following series. State the tests used and justify your answers. Sum (infinity, n=1) 1/(1+e^-n) Sum (infinity, n=1) (2*4*6...2n)/n! Sum (infinity, n=0) (n-6)/n Sum (infinity, n=0) (n-6)/n! Sum (infinity, n=0) (100n^14)/4^n
Monday, March 4, 2013 at 4:09pm

Calculus
Determine convergence of divergence. If convergent, find the sum. Sum (infinity, n = 0) (e/pi)^n
Monday, March 4, 2013 at 3:47pm

Calculus
The owner of a used tire store wants to construct a fence to enclose a rectangular outdoor storage area adjacent to the store, using part of the side of the store (which is 220 feet long) for part of one of the sides. (See the figure below.) There are 430 feet of fencing ...
Monday, March 4, 2013 at 12:02pm

Shayna
Find the value of a so that the function f(x) = xe^(ax) has critical point at x = 9 I found that the derivative is axe^(ax)+e^(ax) But I am not sure where to go from here?
Monday, March 4, 2013 at 11:21am

Calculus
Given that \displaystyle \int_0^4 x^3\sqrt{9+x^2} dx = a, what is the value of \lfloor a \rfloor?
Monday, March 4, 2013 at 12:30am

Applied Calculus
Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable. (If an answer does not exist, enter DNE.) g(x)=x^(3)-9x
Sunday, March 3, 2013 at 10:43pm

PRE CALCULUS HELP PLEASE
((ln(x))^1/2)/(ln(x^1/2))=6
Sunday, March 3, 2013 at 10:31pm

calculus
At 9am, ship B was 65 miles due east of another ship, A. Ship B was then sailing due west at 10 miles per hour, and A was sailing due south at 15 miles per hour. If they continue their respective courses, when will they be nearest one another?
Sunday, March 3, 2013 at 8:14pm

calculus
derivative of (3x+2)^6- 8(7x^2+9)^4 all cube rooted! plz help!
Sunday, March 3, 2013 at 7:31pm

Calculus
Find the tangent line approximation for sqrt(3+x) near x=0.
Sunday, March 3, 2013 at 4:35pm

pre-calculus
proving tht the statements are true for all natural numbers 1+2+3+....+n=n(n+1)/2 i dont understand when trying to prove tht P(k+1) = 1+2+3+...+k+k(k+1)= 1/2 how do you do this step???
Sunday, March 3, 2013 at 3:38pm

Math calculus
Which box is bigger the 10*4*1 or the 6*4*3 box. Thanks.
Sunday, March 3, 2013 at 3:00pm

Calculus
Find the derivatives of the function f(t)=cosh^2(4t)-sinh^2(4t). Simplify your answer completely.
Sunday, March 3, 2013 at 12:19am

calculus
sorry for the probably simple question, but i haven't done this stuff in a long, long time. thought i had this right, but again not finding the answer which of the following gives the slope of the tangent line to the graph of y=2^(1-x) at x=2? a)-1/2 b)1/2 c)-2 d)2 e)-(ln2...
Saturday, March 2, 2013 at 10:53pm

calculus
A cylindrical container is to hold 20π cm^3. The top and bottom are made of a material that costs $0.40 per cm^2. The material for the curved side costs $0.32 per cm^2. Find the height in centimeters of the most economical container.
Saturday, March 2, 2013 at 10:17pm

calculus
Suppose you have 400 meters of fencing and you wish to enclose a rectangular space with two parallel partitions: What is the maximum total area of the enclosed space, in square meters?
Saturday, March 2, 2013 at 9:41pm

calculus
sorry to ask a second question so soon, but i'm just not getting this one. if f(x)= 3x lnx, then f'(x)=? i used f'(x)=3x(D lnx) + D (3x) (lnx) f'(x)=3x (1/x) + 3 (lnx) so... f'(x)=3+3lnx or 3(1+lnx). unfortunately that isn't one of the possible answers ...
Saturday, March 2, 2013 at 1:42pm

calculus
find dy/dx for y=arctan(x/2) i'm getting 4/(x^2+4) my friend is getting 2/(4+x^2) could someone point me in the right direction? tahnk you
Saturday, March 2, 2013 at 12:45pm

calculus II
∫ tan^2 x sec^3 x dx If the power of the secant n is odd, and the power of the tangent m is even, then the tangent is expressed as the secant using the identity 1 + tan^2 x = sec^2 x I thought that since tan is even and sec is odd, we have to put this in terms of cosine...
Saturday, March 2, 2013 at 11:29am

calculus
Integral of 10 / (5x^2 - 2x^3) Do not determine the numerical values of the coefficients. Just wanted to know why when I write out the form of the partial fraction decomposition there is A/x + B/x^3 + C/ (x^2 + 4) Why isn't it just A/x^3 + B/ (x^2 + 4)?
Saturday, March 2, 2013 at 3:14am

Calculus
Find the length of the arc formed by x^2=9y^3 from point A to point B, where A=(0,0) and B=(81,9) Please help, I have no clue as to where to go with this problem! Thanks!
Saturday, March 2, 2013 at 1:34am

calculus
Use the second derivative to determine the point of inflection for y = x3 – x2 – 8x + 12. ????
Friday, March 1, 2013 at 8:16pm

Applied Calculus
Let f(x) = x3 − 4x2. Find the point(s) on the graph of f where the tangent line is horizontal.
Friday, March 1, 2013 at 5:16pm

calculus
a road that runs perpendicular to a highway leads to a farmhouse located one mile off the highway an automobile travels down the highway past the road leading to the farmhouse at a speed of 60 mph how fast is the distance between the farmhouse an automobile increasing when the...
Friday, March 1, 2013 at 2:55pm

Calculus AP
Let R be the region bounded by the graphs of y=cos((pi x)/2) and y=x^2-(26/5)x+1. A. Find the area of R. B. The vertical line x=k splits the region R into two equal parts. Write, but do not solve, an equation involving integrals that solves for k. C. The region R is the base ...
Friday, March 1, 2013 at 1:30pm

Calculus AP
Let R be the region in the first quadrant bounded by the graph y=3-√x the horizontal line y=1, and the y-axis as shown in the figure to the right. Please show all work. 1. Find the area of R 2. Write but do not evaluate, an integral expression that gives the volume of ...
Friday, March 1, 2013 at 1:25pm

Calculus
I am having trouble solving this problem: "Find where the tangent line is horizontal for r=1+cos(theta)" I would really appreciate the feedback, I'd like to know how to go about solving problems like these. Thank you!
Friday, March 1, 2013 at 2:46am

Calculus
I've been trying to solve the improper integral of ln(x)/sqrt(x) dx as a=1 and b=infinity I am required to solve for this question and according to my answer, it is divergent. However, my answer is infinity-4. Is it acceptable to say that infinity minus a number is simply ...
Thursday, February 28, 2013 at 9:39pm

calculus
Determine the coordinates of the point on the graph of f(x)= (2x+1)^(1/2) where the tangent line is perpendicular to the line 3x+y+4=0
Thursday, February 28, 2013 at 9:19pm

Calculus
I know how to do this problem, but I'm stuck at the arc length differential. Set up an integral for the arc length of the curve. (Do not evaluate the integral) x=y^2ln(y), 1<y<2 dx/dy = 2yln(y) + y ds= sqrt (1 + (2yln(y)+y)^2 so far I have sqrt (1 + 4y^2ln(y) + 2[2y^...
Thursday, February 28, 2013 at 5:33pm

calculus
F(x)= ln((3x+6)^4 (x^3 -2)^5 ) F'(x)=
Thursday, February 28, 2013 at 3:48pm

calculus
Find dy/dx by implicit differentiation. x cos y + y cos x = 1
Thursday, February 28, 2013 at 3:08pm

calculus
y= e^-7x cos 5x y'=
Thursday, February 28, 2013 at 2:29pm

Calculus
Greetings, So I've been working on this problem: H(x) = (x^4 - 2x +7)(x^-3 + 2x^-4) H'(x)= Kept on getting it wrong and I assumed it was an algebra mistake. After multiple tries I went to a few derivative calculators to check my work... What I saw was the calculators ...
Thursday, February 28, 2013 at 1:21pm

Calculus
A man is 6ft tall and is walking at night straight toward a lighted street lamp at a rate of 5 ft/sec. If the lamp is 20 ft above the ground, find the rate at which the length of his shadow is changing.
Thursday, February 28, 2013 at 12:01pm

Calculus
Water is being poured into an inverted cone(vertex down) of radius 4 in and height 10 in at a rate of 3 in^3/sec. Find the rate at which the height of the water is increasing when the water is 5 in high.
Thursday, February 28, 2013 at 12:00pm

Calculus
1a. 15 ft ladder is placed against a vertical wall. the bottom of the ladder is sliding away from the wall at a rate of 2 ft/sec. How fast is the top of the ladder sliding down the wall when the bottom of the ladder is 9 ft from the wall? 1b. Using the data in the first part, ...
Thursday, February 28, 2013 at 11:59am

Calculus
A 15 ft ladder is placed against a vertical wall. the bottom of the ladder is sliding away from the wall at a rate of 2 ft/sec. How fast is the top of the ladder sliding down the wall when the bottom of the ladder is 9 ft from the wall?
Thursday, February 28, 2013 at 11:58am

Calculus
If V volts are measured across a resistance of R ohms in a circuit carrying a current of I amperes, V=IR. At a certain instant, the voltage is 250 and is increasing at a rate of 4 volts/min, while the current is 0.5 AMP and is increasing at a rate of 0.01 amp/min. Find the ...
Thursday, February 28, 2013 at 11:00am

Calculus
Calculus If V volts are measured across a resistance of R ohms in a circuit carrying a current of I amperes, V=IR. At a certain instant, the voltage is 250 and is increasing at a rate of 4 volts/min, while the current is 0.5 AMP and is increasing at a rate of 0.01 amp/min. ...
Thursday, February 28, 2013 at 10:59am

Pre-calculus
*polynomial in standard form 1)5/12+7/18=5/6 2) 3x/(x+1)-1/(x)=______/x^2-1x
Thursday, February 28, 2013 at 6:08am

Applied Calculus
Let f(x) = −x2 + ax + b. Determine the constants a and b such that f has a relative maximum at x = 2 and the relative maximum value is 13.
Wednesday, February 27, 2013 at 7:08pm

Applied Calculus
Find the third derivative of the function: g(t)=square root of 7t+5
Wednesday, February 27, 2013 at 6:41pm

calculus
Show that ln(4+x) is the sum of its Taylor Series for -2 <= x <= 2.
Wednesday, February 27, 2013 at 6:22pm

Pre-calculus
fraction 1) 5/12+7/18-5/6 2) 3x/x-1-1/x=_____/x^2-1x 3) x+1/x^2-5x+6-3x+11/x^2-x-6= 4)2x^2-3x-1 5) 3x^2+2x-2 6) x^2-3x-9 4-5 with formula -B+_sqrt(B)^2+(-4)(A)(C)/2A please help!
Wednesday, February 27, 2013 at 6:17pm

calculus
F(x)= ln ((3t + 1)^4 / (2t + 1)^3) F'(x)=
Wednesday, February 27, 2013 at 4:25pm

Applied Calculus
Find the third derivative of the function: g(t)=square root of 7t+5
Wednesday, February 27, 2013 at 3:27pm

calculus
The radius of a circular oil spill is increasing at a rate of 10 feet per hour. How quickly is the surface area changing when the radius is 200 feet?
Wednesday, February 27, 2013 at 2:57pm

calculus
Construct a sign chart for the derivative. Then determine the relative and absolute extrema for y = -4x2 + 4 on the interval [-3,3].
Wednesday, February 27, 2013 at 2:56pm

calculus
Use the second derivative to determine where the maximum and minimum rates of change occur for a vehicle’s speed modeled by the function v(t) = 0.0591t3 - 0.3399t2 + 0.5019t + 0.00594, where t is the time in minutes after leaving a stoplight.
Wednesday, February 27, 2013 at 2:42pm

calculus
Use the second derivative to determine the point of inflection for y = x3 – x2 – 8x + 12. ????
Wednesday, February 27, 2013 at 2:41pm

Calculus
The functions f and g are given by f(x)=√x and g(x)=6-x. Let R be the region bounded by the x-axis and the graphs of f and g, as shown in the figure in the link below. Please show your work. h t t p://goo.gl/jXIZD 1. Find the area of R. 2. The region R is the base of a ...
Wednesday, February 27, 2013 at 1:27pm

Calculus
Let f be the function given by f(x)=(x^3)/4 - (x^2)/3 - x/2 + 3cosx. Let R be the shaded region in the second quadrant bounded by the graph of f, and let S be the shaded region bounded by the graph of f and line l, the line tangent to the graph of f at x=0. Graph shown through...
Wednesday, February 27, 2013 at 1:20pm

Calculus
1. Find the area of the region bounded by the curves and lines y=e^x sin e^x, x=0, y=0, and the curve's first positive intersection with the x-axis. 2. The area under the curve of y=1/x from x=a to x=5 is approximately 0.916 where 1<=a<5. Using your calculator, find ...
Wednesday, February 27, 2013 at 11:17am

Pre-Calculus
Simplifying Complex Fractions [(x+3)/12] / [(4x-5)/15] [(x+3)/12] x [15/(4x-5)] (x+3)5/4(3x-5) (5x+15/12x-20)<-- final answer Did I do this right. If not could you please explain how to do it correctly
Wednesday, February 27, 2013 at 3:28am

calculus
Use logarithmic differentiation: F(x)= (3x+6)^4 (x^3 -2)^5 f'(x)=
Tuesday, February 26, 2013 at 10:49pm

calculus
Find the value for W when the limit as x approaches 8 of ((2x^2)-7x + W)/(x-8) = 25
Tuesday, February 26, 2013 at 9:45pm

calculus
evaluate the following limit... ((1-x)/((1/e)-(e^-x))) as x approaches one
Tuesday, February 26, 2013 at 9:43pm

calculus
what is the limit of (9x/(9x+5))^(6x) as x approaches infinity?
Tuesday, February 26, 2013 at 9:41pm

Multivariable Calculus
Find the linearization L(x,y)of the function f(x,y) at P_0. Then find an upper bound for the magnitude |E| of the error in the approximation f(x,y)=L(x,y) over the rectangle R. f(x,y) = (1/2)x^2 + xy + (1/4)y^2 + 3x - 3y + 4 at P_0(2,2),R:|x-2|<=0.1, |y-2|<= 0.1
Tuesday, February 26, 2013 at 7:55pm

Pre-calculus HELP PLASE !
1.Write the rectangular equation in polar form. (x – 4)2 + y2 = 16 2.Write the equation –2x + 6y = 7 in polar form. 3.Graph the polar equation 2 = r cos(theta – 20°). 4. Write the polar equation in rectangular form. r = –12 cos
Tuesday, February 26, 2013 at 7:20pm

calculus 1
A kite 100 ft above the ground moves horizontally at a speed of 10 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let out?
Tuesday, February 26, 2013 at 6:18pm

Calculus
For what values of x does the graph of F9x) = 2x^3 - 3x^2 + 12x + 87 have a horizontal tangent?
Tuesday, February 26, 2013 at 10:12am

Pre calculus, vectors
A straight river flows at a speed of 20km/h. A boater starts at the south shore and heads in ths direction of 70degrees from the shore. The boat has a speed of 20km/h in still water. Find the true speed and direction of the boat.
Tuesday, February 26, 2013 at 7:04am

Pre-calculus; urgent ! Please help !
1.Graph the polar equation r=3-2sin(theta) 2. Find the polar coordinates of 6 radical 3,6 for r > 0. 3. Find the rectangular coordinates of (7, 30°). 4. Write the rectangular equation in polar form. (x – 4)2 + y2 = 16 5. Write the equation –2x + 6y = 7 in ...
Tuesday, February 26, 2013 at 3:06am

Calculus please help !
1.Graph the polar equation r=3-2sin(theta) 2. Find the polar coordinates of 6 radical 3,6 for r > 0. 3. Find the rectangular coordinates of (7, 30°). 4. Write the rectangular equation in polar form. (x – 4)2 + y2 = 16 5. Write the equation –2x + 6y = 7 in ...
Tuesday, February 26, 2013 at 3:06am

AP Calculus BC
A curtate cycloid is defined by the equations x = 2t - sin t and y = t - cos t. If I walk along the cycloid, how far will I walk in 10 seconds?
Tuesday, February 26, 2013 at 2:22am

pre-calculus
the foci of an ellipse are (0,2) (0,-2) and the eccentricity is 1/2. determine the equation of the ellipse. write your answer in standard form.
Tuesday, February 26, 2013 at 1:46am

Calculus Help
Evaluate the indefinite integral. ∫4dx/(xln(x))
Tuesday, February 26, 2013 at 1:05am

pre-calculus
tangents are drawn from the point (-4,0) to the circle x^2 +y^2 =1. find the slopes of the tangent.
Monday, February 25, 2013 at 11:43pm

Applied Calculus
If the line passing through the points (a, 1) and (−8, 7 is parallel to the line passing through the points (−11, 8) and (a + 2, 1), what is the value of a?
Monday, February 25, 2013 at 10:47pm

Applied Calculus
Find the x-value of the relative minima of the function: 2x^(2)+((256)/(x))+8
Monday, February 25, 2013 at 10:15pm

Calculus
show that e^-x ¡Ö 1-x near x=0
Monday, February 25, 2013 at 7:59pm

Calculus
A donut is generated by rotating the circle, S, defined by (x-3)^2 +y^2 =4 about the y axis. If the anagement of dunkin donuts wants to know how to price these donuts use intergral calculus to help them (i) set up a definite intergral to determine the volume,V1, of a donut ...
Monday, February 25, 2013 at 6:50am

Survey of Calculus
For the function below, find the slope of the tangent line at x=2 (5x^(4)+4)/(-2x^(3)+7) Can someone explain how to do this?
Sunday, February 24, 2013 at 10:30pm

Calculus I, differentiation
The number, N, of people who have heard a rumor spread by mass media by time, t, is given by N(t)=a(1−e−kt). There are 6 million people in the population, who hear the rumor eventually. If 5% of them heard it on the first day, find the percentage of the population ...
Sunday, February 24, 2013 at 10:14pm

Calculus
Use logarithmic differentiation: F(x)= (3x+6)^4 (x^3 -2)^5
Sunday, February 24, 2013 at 9:59pm

Calculus
The number, N, of people who have heard a rumor spread by mass media by time, t, is given by N(t)=a(1−e−kt). There are 6 million people in the population, who hear the rumor eventually. If 5% of them heard it on the first day, find the percentage of the population ...
Sunday, February 24, 2013 at 9:08pm

Calculus
F(x)= ln ((3t + 1)^4 / (2t + 1)^3) F'(x)=
Sunday, February 24, 2013 at 5:31pm

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