Saturday
May 25, 2013

# Homework Help: Math: Calculus

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

Math - Calculus
how to solve limits?
Monday, July 9, 2012 at 5:27pm

calculus
What are the critical numbers of the function: s(t)=3t^4+12t^3-6t^2
Sunday, July 8, 2012 at 8:08pm

calculus
A point moving on a coordinate line has position function s. Find the velocity and acceleration at the t, and describe the motion of the point during the indicated time interval s(t)=-2t^3+15t^2-24t-6 [0,5]
Saturday, July 7, 2012 at 10:51pm

calculus
How do I take the partial derivative of P with respect to r of the following: D ~ P = ‡”(t=1 to T)[t ~ (CF)_t/(1+r)^t ]
Saturday, July 7, 2012 at 9:37pm

calculus
Can some explain how to do this problem? I tried using derivatives...but...I keep getting a different answer from what my teacher told me! A projectile is fired directly upward with an initial velocity of 144 ft/sec and its height (in feet) above the ground after t seconds is ...
Saturday, July 7, 2012 at 8:34pm

calculus
My teacher told me to use the distance formula for this problem but I am not sure how to do it... find the point (s) on the graph of y^2=6x closest to the point (5,0)
Friday, July 6, 2012 at 9:28pm

calculus
Use the 2nd derivative test to find the extremer of f on the interval [0,2PI] f(x)=2cosx+sin 2x
Friday, July 6, 2012 at 9:26pm

calculus
f(x)=1/x^2 use formal definition of derivative to find slope at x=2
Friday, July 6, 2012 at 3:17pm

calculus
Integrate sqrt(x^2 + 1) dx over [0,2*pi] I can substitute u=arctan x to get: Integrate (sec u)^3 du over [0,arctan(2*pi)] From there, I'm stuck. (thanks Count Iblis for your last help)
Friday, July 6, 2012 at 9:46am

Calculus
Write the equation of an ellipse with the foci (17, 0) and (-17, 0) and co-verticies (0, 15) and (0, -15).
Thursday, July 5, 2012 at 11:48pm

Calculus
Complete the square to write the equation x^2 + y^2 - 6x - 2y + 4 = 0 in standard form. Use the standard form of the equation to identify the center and the radius of the circle.
Thursday, July 5, 2012 at 11:08pm

Calculus
Let u = (-2,3) and v = (5,-6). Find the sum and the dot product of these two vectors.
Thursday, July 5, 2012 at 10:11pm

calculus
hey I just wanted to make sure that I was doing this problem correctly. The question says to graph the function f given by f(x)=x^3+3x^2-9x-13 and find the local extremer. So here's what I did: f(x)=x^3+3x^2-9x-13 F^1(x)=3x^2+6x-9 = 3x(x-3) x=0 x=3 I put those two xes back...
Thursday, July 5, 2012 at 8:25pm

math/calculus
Under what conditions can you extend a function f(x) to be continuous at a point x=c? Is this just rules for continuity or am I just really confused? If not what is this question asking?
Thursday, July 5, 2012 at 2:06pm

math/calculus
Find a power function end behavior model for f(x)= (3x^3-4x^2+3x+3)/(x-3) I don't understand what an end behavior model is
Thursday, July 5, 2012 at 1:18pm

calculus
pls integrate and differentiate e^x^2 and x/y square root of x^2+y^2 in terms of x.
Thursday, July 5, 2012 at 8:36am

Calculus
for f(x)=-x^2 +1, which value is the largest magnitude? a) average rate of change from x=-1 to x=1 b) instanteneuous rate of change at x=3 c) instanteneous rate of change at x=0 average rate of change from x=-4 to x=0
Wednesday, July 4, 2012 at 9:31pm

calculus
In the early 1960s, radioactive strontium-90 was released during atmospheric testing of nuclear weapons and got into the bones of people alive at the time. If the half-life of strontium-90 is 27 years, what fraction of the strontium-90 absorbed in 1962 remained in people's...
Tuesday, July 3, 2012 at 10:19pm

Calculus
Find a unit vector in the direction of v = (1,-1). Write your answer as a linear combination of the standard unit vectors i and j. Round each component to the nearest hundredth, if necessary. A 0.71i - 0.71j B 0i - 0j C 1.41i - 1.41j D 1i - 1j E 2.83i - 3.83j F -1i - 1j
Tuesday, July 3, 2012 at 9:58pm

Calculus
a piece of wire 12 ft. long is cut into two pieces. one piece is made into a circle and the other piece is made into a square. Let the piece of length x be formed into a circle. allow x to equal 0 or 12, so all the wire is used for the square or for the circle. How long should...
Tuesday, July 3, 2012 at 7:35pm

Calculus
"Leave the answer as a definite integral, but indicate how it could by evaluated by using the fundamental theorem of calculus." I solved the problem to a definite integral. Proceeding via the fundamental theorem, would involve finding the indefinite integral (or ...
Tuesday, July 3, 2012 at 6:03pm

Calculus..
5. Eliminate the parameter and write the corresponding rectangular equations: x=3-2sin theta and y=1+5 cos theta
Tuesday, July 3, 2012 at 4:11pm

Calculus
Find the dot product of (u+v)*w u=-1,3 v=2,4 w=2,-5 Answer choices: A:37 B:-37 C:-29 D:-33 E:29 F:9
Tuesday, July 3, 2012 at 1:03am

Calculus
A steel storage tank for propane gas is to be constructed in the shape of a right circular cylinder with a hempishere at each end. The cost per square foot of constructing the end pieces is twice that of contructing the cylindrical piece. If the desired capacity of the tank is...
Monday, July 2, 2012 at 3:00pm

Calculus
u=-1,3 and w= 2,-5. Find the component form of the vector. 3. 2u + 3w A 0,1 B 5,-12 C 2,3 D 1,-2 E -3,8 F 4,-9
Sunday, July 1, 2012 at 11:49pm

calculus
Hey I am working on differentiation/quotient rule for this problem...can someone help me? x^2-3/x-2.
Sunday, July 1, 2012 at 9:59pm

Calculus
Find if the limit exists. lim tan(x)/x x->0 Please show how you determined this. Thanks!
Sunday, July 1, 2012 at 5:52pm

Calculus
Find an equation of the line that is tangent to the graph of f and parallel to the given line. Funtion: f(x)=1/sqrt(x-1) Line: x+2y+7=0
Saturday, June 30, 2012 at 2:17pm

pre calculus
Name 3 different representations of the following (-6, 3pi/4)
Saturday, June 30, 2012 at 7:57am

calculus
(SIN^8X-5 SIN^5X+SINX)COSX DX I need the answer to this, because I have tried so many times and cannot figure it out.
Thursday, June 28, 2012 at 2:07pm

calculus
All right, sorta hard to explain but I will try my best. I am suppose to find the equation for the that lines that are tangent to the curve y=cot^2(x) at the point (pie/4, 1)....(the x is not to the power of 2, a variable right next to the cot^2) I am not sure how to do this ...
Thursday, June 28, 2012 at 12:00pm

calculus
solution for limit as delta x approaches 0 (1-cos4x/1-cos2x)
Thursday, June 28, 2012 at 8:47am

Calculus
Find the maximum area of a rectangle that lies above the x axis and below y=9-x^2
Wednesday, June 27, 2012 at 9:51pm

Calculus
Find the maximum and minimum product of 2 numbers who sum is 5
Wednesday, June 27, 2012 at 9:47pm

Calculus
If y= (x^2+20)/(x-4) Find all critical Numbers. After get f' i got the answer -5/4. What did i do wrong or is that the critical number?
Wednesday, June 27, 2012 at 9:33pm

Calculus
I have two similar problems that I need help completing. Please show all your work. Question: Find the limit L. Then use the å-ä definition to prove the limit is L. 1. lim (2x+5) x->3 2. lim 3 x->6 Thank you for your anticipated help!!
Wednesday, June 27, 2012 at 1:07pm

calculus
A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are given below P=400-.5x and C(x)=20000+130x What price should the company charge for the phones and how many phones should be produced to maximize the weekly revenue. What is ...
Tuesday, June 26, 2012 at 1:42pm

calculus
Okay, so I have this problem... this was the original: (t^2-1?t^2+1)^3 and then I got the derivative which looked like this after I finished all the other steps: 3(t^2-1/t^2+1)^2d(t^2+1)(2t)-(t^2-1)(2t)​/ (t^2+1)^2 So now, the answer is 3(t^2-1/t^2+1)^2d 4t/(t^2+1)^2 But...
Monday, June 25, 2012 at 7:51pm

calculus
I am confused how to derivative this... 2y=x^2+siny
Sunday, June 24, 2012 at 9:46pm

calculus
Can someone help me understand how to find the derivative of these two problems: (t^2-1/t^2+2)^3=y and y=sin^32x? I think with the first one, I could just foil it maybe and cancel but I don't know what to do with the ^3...and then the second one I haven't gotten the ...
Sunday, June 24, 2012 at 7:54pm

Calculus
Apply Rolle's theorem if possible and find c if y=x^(2/3)-16
Sunday, June 24, 2012 at 5:53pm

Calculus
Apply mean value theorem f(x)=7-(6/x) on [1,6]
Sunday, June 24, 2012 at 5:25pm

Calculus
Given y=(x^2+2)sqrt(x^3-8x) Find dy/dx
Sunday, June 24, 2012 at 4:38pm

Calculus
a)Find dy/x where y=tan(4=x^3)^4? B) Find relative extrema of f(x)=x^3-3x^2+4
Sunday, June 24, 2012 at 4:24pm

Calculus
find the volume generated when the ellipse x^2/9 + y^2 = 1 is rotated around the line y=5
Sunday, June 24, 2012 at 4:01pm

CALCULUS
For the sequence below, determine whether they converge or not, and find the limit when the sequence converges. an=4^n/n! an=nsin(1/n)
Sunday, June 24, 2012 at 2:31pm

CALCULUS
Evaluate limit L'Hospitals Rule: lim x->0+ (x)^(pi/2)
Sunday, June 24, 2012 at 2:14pm

calculus
find the integral: ∫tan^6 (x) dx
Sunday, June 24, 2012 at 2:12pm

Calculus
Find all points on the graph of the function f(x) = 2 sin(x) + (sin(x))^2 at which the tangent line is horizontal. Consider the domain x = [0,2π). Please help!
Friday, June 22, 2012 at 10:11am

Calculus
Find the derivative of the function y defined implicitly in terms of x. y = √(xy+ 9)
Friday, June 22, 2012 at 9:11am

Calculus
Find the derivative of the function y defined implicitly in terms of x. y = sqrt(xy + 9) Please help! Thanks! :)
Friday, June 22, 2012 at 8:24am

Calculus
Find all points on the graph of the function f(x) = 2 sin(x) + (sin(x))^2 at which the tangent line is horizontal. Consider the domain x = [0,2π).
Friday, June 22, 2012 at 8:13am

Calculus
Suppose a ladder of length 36 feet rests against a wall, and we pull the base of the ladder horizontally away from the wall. For a given distance x that we pull the ladder horizontally, let g(x) be the height of the ladder on the wall, under the assumption that the other end ...
Friday, June 22, 2012 at 8:12am

Hello ^___^ Please help me! Thank you very very much! Determine if the planes are parallel. [x,y,z] = [1,2,2] + s[0,-1,0] + t[0,0,1] [x,y,z] = [1,0,-3] + s[0,0,1] + t[-1,0,0] thank you ^__^Y
Thursday, June 21, 2012 at 4:10pm

calculus exam review
write two different vector equations for the plane that contains the points A(6,1,4), B(-3,7,9), C(5,0,3)
Thursday, June 21, 2012 at 4:08pm

CALCULUS EXAM REVIEW
Hi, my exam is tomorrow and I'm here with my girlfriend who's also in the same class trying to figure out how to do the exam review but we're stuck.. please be kind and help us out, we'd really appreciate it. Thank you in advance. QUESTION: Write a vector ...
Thursday, June 21, 2012 at 4:01pm

PLEASE HELP ME! Exam is in an hour and i need to finish this exam pre-test to help me ! consider the function y = 2sinx a) determine dy/dx b) calculate the exact value of x for which the slope of the tangent to the graph is √2 in the interval [0, pie] c) determine the ...
Thursday, June 21, 2012 at 3:52pm

find the angle between these lines [x,y,z] = [3,4,1] + s[-1,5,-2] [x,y,z] = [8,5,-9] + t[2,3,-6]
Thursday, June 21, 2012 at 3:12pm

for each function, determine the equation of the tangent line to the graph for the indicated value of the variable. a) y = 3cosx + 4sinx + 1 , when x = pie b) y = x - 3cosx , when x = (5pie)/3
Thursday, June 21, 2012 at 3:12pm

Implicit differentiation calculus
PLEASE HELP , I DON'T UNDERSTAND find dy/dx by implicit differentiation a) xy + x^5y^2 + 3x^3 - 4 = 1 b) lny = cos x thank you
Thursday, June 21, 2012 at 3:02pm

Calculus
consider the function y = 2sinx a) determine dy/dx b) calculate the exact value of x for which the slope of the tangent to the graph is √2 in the interval [0, pie] c) determine the equation of the tangent in part (b). d) determine the y-intercept of the tangent in part (c).
Thursday, June 21, 2012 at 2:48pm

Calculus review
use the first derivate test to locate the maxima and minima of y = x^(1/3)
Thursday, June 21, 2012 at 2:38pm

find the slope of the tangent line to y^4 = 3x^2 - 2x at the point (1,1)
Thursday, June 21, 2012 at 2:15pm

find dy/dx by implicit differentiation a) xy + x^5y^2 + 3x^3 - 4 = 1 b) lny = cos x thank you
Thursday, June 21, 2012 at 1:50pm

hi i need help differentiating these.. 1. y = cos(3x^2 + 2x) 2. y = ln(3x^2 + 5) thank you
Thursday, June 21, 2012 at 1:46pm

Calculus
differentiate each function a) y = (cscx)(cotx) b) y = x^2 + e^(2x)
Thursday, June 21, 2012 at 1:46pm

Calculus
Evaluate each limit. If it exists. a) Lim x^3 + 1 x->1 ------- x + 1 b) Lim 3x^2 - x^3 x->0 ---------- x^3 + 4x^2 c) Lim 16 - x x->16 --------- (√x) - 4
Thursday, June 21, 2012 at 1:43pm

Calculus 1
Derivative of 7^(SinX)... something to do with log/ln?
Thursday, June 21, 2012 at 2:18am

calculus
find the point on the graph of the given function at which the slope of the tangent line is the given slope x^3+9x^2+33x+15 slope= 6
Wednesday, June 20, 2012 at 3:56pm

Calculus
determine where f(x)={x^2-5x+6/x-3, if x<3 {1/x-2, if x>3 is discontinuous.
Tuesday, June 19, 2012 at 8:46pm

Calculus
lim x^2+2x-8/x^2-4 x->2
Tuesday, June 19, 2012 at 6:56pm

Physics calculus based
Consider the Sun to be at the origin of an xy-coordinate system. A telescope spots an asteroid in the xy-plane at a position given by (x, y) with a velocity given by (vx, vy). [DATA: (x, y) = (3.3, 5.2) ×10^11 m; (vx, vy) = (-6.1, -4.0) ×10^3 m/s.] (A) What will ...
Tuesday, June 19, 2012 at 6:54pm

Calculus
Determine the work done by the force F = [1, 4], in newtons, for an object moving along the vector d = [6, 3], in meters.
Tuesday, June 19, 2012 at 12:40am

Calculus
The perfect pizza parlor estimates the average daily cost per pizza to be C(x) = (0.00025x^2 + 8x + 10)/x , where x is a number of pizzas made in a day. a) determine the total cost at the level of production of 50 pizzas a day. b) determine the production level that would ...
Tuesday, June 19, 2012 at 12:39am

Calculus - please check my work
differentiate each function a) y = cos^3x b) y = sin(x^3) c) y = sin^2 xcos3x my answers: a) y' = 3cos^2 x(-sinx) b) y' = cos(x^3)(3x^2) c) for this one, i dont know which one is correct. i got 2 different answers but i think they may be the same.. im not sure, i did ...
Tuesday, June 19, 2012 at 12:26am

Calculus
The position of a particle, s metres from the starting point, after t seconds, is defined by the function s(t) = 2t^3 - 7t^2 + 4 a) determine the velocity of the particle after t seconds b) determine the velocity after 5 seconds
Monday, June 18, 2012 at 6:15pm

Calculus
determine the coordinates of two points on the plane with equation 5x + 4y - 3z = 6
Monday, June 18, 2012 at 6:12pm

Calculus
differentiate each function a) y = cos^3x b) y = sin(x^3) c) y = sin^2 xcos3x
Monday, June 18, 2012 at 5:58pm

Calculus - please check my work
evaluate rounding to 2 decimal places if neccessary a) 1n5 = 1.61 b) lne^2 = 2 c) (lne)^2 = 1 please let me know if these are correct, thank you.
Monday, June 18, 2012 at 5:55pm

Calculus - please check my work
Differentiate each function a) y = -3x^2 + 5x - 4 b) f(x) = 6/x - 3/(x^2) c) f(x) = (3x^2 - 4x)(x^3 + 1) the answers i got for each was: a) y'= -6x + 5 b) f'(x)= -6/x^2 + 6/x^3 c) f'(x)= 15x^4 + 6x - 16x^3 - 4 please double check and let me know if these are ...
Monday, June 18, 2012 at 5:48pm

Calculus
y=cos3x(sin^3)x
Sunday, June 17, 2012 at 6:20pm

Calculus
Determine the work done by force f=[1,4] in newtons for an object moving along the vector d =[6,3] Okay i found the vector equation and then the parametric and now i have no clue what do please help :) One more thing there a question that say given the graph f(x) sketch a ...
Sunday, June 17, 2012 at 4:59pm

Calculus
y=cos3x(sin^3)x
Sunday, June 17, 2012 at 1:32pm

Calculus
derivative of y=tan^3(x)
Sunday, June 17, 2012 at 12:44pm

Calculus
evaluate the limit: lim cos(x + pi/2)/x x->0
Sunday, June 17, 2012 at 10:32am

calculus
the area under the curve y= square root of 9-x^2 with coordinates x=-3 and 3 , find the volume rotated aroudn the x-axis
Saturday, June 16, 2012 at 11:38pm

Calculus
Find the vector and scalar equations of the plane containing the line r=(3,5,1)+t(-2,3,1) and the point (1,2,3)
Saturday, June 16, 2012 at 9:09pm

Integral calculus
Is Integral of f(x) w.r.t.x from 0 to a;equal to Integral of f(x-a) w.r.t.x from 0 to a?
Saturday, June 16, 2012 at 8:56pm

calculus
The beacon on a lighthouse makes one revolution every 20 seconds. The beacon is 300 feet from the nearest point, P, on a straight shoreline. Find the rate at which the ray of light moves along the shore at a point 200 feet from P.
Saturday, June 16, 2012 at 2:09am

determine the coordinates of two points on the plane with equation 5x + 4y - 3z = 6
Friday, June 15, 2012 at 3:13pm

use the derivatives of y=sinx and y=cosx to develop the derivative of y=tanx
Friday, June 15, 2012 at 3:12pm

Calculus
Determine the value of k, so that u = [-3,7] and v = [16,k] are perpendicular.
Friday, June 15, 2012 at 12:18am

Calculus
Differentiate each function a) y = Cos³ x b) y = Sin(x³) c) y = Sin²xCos3x
Friday, June 15, 2012 at 12:16am

Calculus
Evaluate, rounding to two decimal places, if necessary a) ln 5 b) ln e² c) (ln e)²
Friday, June 15, 2012 at 12:15am

Calculus
Determine the equation of the tangent line to the curve y = 2x²-1 at the point where x = -2
Friday, June 15, 2012 at 12:14am

Calculus
Differentiate each function a) y = -3x^2 + 5x - 4 b) f(x) = 6/x - 3/(x^2) c) f(x) = (3x^2 - 4x)(x^3 + 1) thank you in advance :)
Friday, June 15, 2012 at 12:13am

calculus
∫ sin(x)sin(3x)dx find the integral
Thursday, June 14, 2012 at 10:37pm

Integral calculus
You have not proved to me that the Integral of lnsinx w.r.t.x from 0 to pi/2 is equal to:Integral of lnsinx w.r.t.x from 0 to pi/4 plus Integral of lncosx w.r.t.x from 0 to pi/4.
Wednesday, June 13, 2012 at 5:51pm

Integral calculus
Is it the integral of lnsinx w.r.t x from 0 to pi/2 = integral lnsinx w.r.t x from 0 to pi/4 + integral lncosx w.r.t x from 0 to pi/4 ?
Wednesday, June 13, 2012 at 5:01pm

calculus
find the derivative of the function f(x) = e^(3x) sec (7x)
Tuesday, June 12, 2012 at 2:14pm

calculus
find the derivative of the function f(x) = x^2 cos (7x)
Tuesday, June 12, 2012 at 1:20pm

calculus
a university alumni group wishes to provide an annual scholarship in the amount of 1500 beginning next year. if the scholarship fund will earn an interest rate of 8%/year compounded continuously, find the amount of the endowment the alumni are required to make now.
Tuesday, June 12, 2012 at 1:09pm

calculus
to find the possible relative extrema of the function f(x,y) subject to the constraint g(x,y)=8, the lagrangian function based on the lagrange multiplier λ is given by....
Tuesday, June 12, 2012 at 1:01pm

calculus
find the average value of the function f(x,y)=e^(-x^2) over the plane region R which is the triangle with vertices (0,0), (1,0) and (1,1)
Tuesday, June 12, 2012 at 9:01am

calculus
according to data released by the chamber of commerce of a certain city, the weekly wages of female factory workers are normally distributed with a mean of 575 and a standard deviation of 50. Find the probability that a female factory worker selected at random from the city ...
Tuesday, June 12, 2012 at 8:44am

Calculus
Given f(x)=x2+3x-5 on [-1,3] show f(x)= 10 without solving for x
Monday, June 11, 2012 at 10:03pm

Calculus
If y=tanx-2cosx Find y'(pi/3)
Monday, June 11, 2012 at 10:02pm

calculus
Can someone explain how find the average rate change for these functions? 1.) f(x)=x^3+1 a (2,3) b.(-1,1) 2.) h(t)= cot t a. pie/4, 3pie/4 b. pie/6, pie/2 I am so lost. T_T please help!
Monday, June 11, 2012 at 7:50pm

Physics
A woman driving her car approaches an intersection and begins to accelerate just as the traffic light turns green. Her velocity is the function of time described by the equation: v(t)=2t^2-8t+10 (A) Use calculus to find her instantaneous acceleration at t=8.0seconds (B) Use ...
Monday, June 11, 2012 at 4:26pm

calculus
Integral of ln(sinx+cosx) with respect to x from -pi/4 to pi/4
Monday, June 11, 2012 at 3:21pm

calculus
The cross-section of a drain is a trapezoid. The sides and the bottom of the trapezoid each have a length of 10 feet. Determine the angle θ such that the drain will have maximal cross-sectional area.
Monday, June 11, 2012 at 10:49am

calculus
A police cruiser hunting for a suspect pulls over and stops at a point 10 ft from a straight wall. The flasher on top of the cruiser revolves at a constant rate of 75 /second, and the light beam casts a spot of light as it strikes the wall. How fast is the spot of light moving...
Monday, June 11, 2012 at 10:00am

calculus
find the derivative of the function f(x)= tan (10x^2)
Monday, June 11, 2012 at 8:21am

Calculus
[((cotx)^(1/3))((csc^4(x))] i dont understand how to integrate the first part because it should be either even or odd, but this is neither.. help!
Sunday, June 10, 2012 at 12:07pm

Calculus
integral of cscx^(2/3)(cot^3)x i know that cot^2x is csc^2(x)-1, but i just don't understand how to solve the cscx^(2/3), any help? i also know that its trig integrals/substitution...
Sunday, June 10, 2012 at 12:05pm

calculus
can you please explain tep by step how to solve dividing complex numbers strictly using a graph, the complex plane. I know how to do it algebraically, but not graphically. thankyou
Saturday, June 9, 2012 at 10:34am

calculus
find the derivative of the function f(x) = e^(3x) sec (7x)
Saturday, June 9, 2012 at 5:15am

calculus
Use the Newton method to approximate the indicated zero of the function. Continue with the iteration until two successive approximations differ by less than 0,0001 the zero of: f(x)=x^3+2x^2+x-7 between x=1 and x=2, x0=1
Saturday, June 9, 2012 at 5:05am

Calculus
Spud McTator climbs his sailboat's mast while anchored. He fires his potato gun. The height of the potato above the ocean is given by: h=0.002X*2+2X=22. Where X is the horizontal distance from the keel of the boat. How far from the keel is the height of the potato a ...
Friday, June 8, 2012 at 2:16am

Calculus
From each corner of a square piece of cardboard, remove a square of sides 3 inch. Turn up the edges to form an open box. If the box is to hold 300 inch cubed, what are the dimensions of the original piece of cardboard?
Friday, June 8, 2012 at 1:24am

Not sure if it is right, I have check with the answer in the book and a few integral calculators but they seem to get a different answer ∫ sec^3(x)tan^3(x) dx ∫ sec^3(x)tan(x)(sec^2(x)-1) dx ∫ tan(x)sec(x)[sec^4(x)-sec^2(x)] dx ∫ tan(x)sec(x)[(tan^2(x)+...
Thursday, June 7, 2012 at 12:15am

calculus
Wednesday, June 6, 2012 at 8:55pm

calculus
Antiderivative problem! Given f'(x)=3cosx–11sinx and f(0)=–2,find f(x)=
Wednesday, June 6, 2012 at 5:27pm

calculus
The base of a solid consists of the region bounded by the parabola y=rootx, the line x=1 and the x-axis. Each cross section perpendicular to the base and the x-axis is a square. Find the volume of the solid.
Wednesday, June 6, 2012 at 10:21am

Water is flowing at a rate of 50 cubic meters per minute into a holding tank shaped like a cone, sitting vertex down. The tank's base diameter is 40 m and a height of 10 m. Write an expression for the rate of change of the water level with respect to time, in terms of h (...
Tuesday, June 5, 2012 at 11:36pm

CALCULUS - HELP
I am trying to solve 0=1-asin(a) for a, but I have reached a dead end at sin(a) = 1/a. From here I'm not sure what to do.
Tuesday, June 5, 2012 at 9:51pm

CALCULUS
Could someone show me the steps to separating the variables in the following differential equation: dy/dx = (2x+1) / (y+1)? I keep messing it up.
Tuesday, June 5, 2012 at 9:43pm

calculus
Each of the sides of a square (S) with an area of 16 is bisected and a smaller square (S2) is constructed using the bisected parts as vertices. The same process is carried out on S2 to construct an even smaller square (S3). What's the area of S3? (Draw a diagram, please?)
Tuesday, June 5, 2012 at 6:36pm

Derivatives ~ Calculus
If dy/dx = (1 + x)/(xy), x>0, and y=-4 when x=1, then when x=3, y= what?
Tuesday, June 5, 2012 at 6:27pm

Calculus
If the graph of y = (ax - b)/(x - c) has a horizontal asymptote y=5 and a vertical asymptote x = − 2 , then b cannot be equal to what?
Tuesday, June 5, 2012 at 2:10pm

Average Value - Calculus
What is the average value of y for the part of the curve y = 4x − x^3 that is in the first quadrant?
Tuesday, June 5, 2012 at 2:03pm

CALCULUS
An equation of the line tangent to the graph of (5x - 1)/(3x + 1) at the point where x = 1 is? Any ideas?
Tuesday, June 5, 2012 at 2:02pm

calculus
Solve the equation: Cos^2x + cosx + 0
Tuesday, June 5, 2012 at 11:10am

calculus
A straight road makes an angle, A of 12 degrees. When the angle of elevation, B, of the sun is 55 degrees, a vertical pole beside the road casts a shadow 7 feet long parallel to the road. Approximate the length of the pole. Round to tow decimal places.
Tuesday, June 5, 2012 at 11:03am

calculus
The salaries at a corporation are normally distributed with an average salary of \$29,000 and a standard deviation of \$4,000. Sixteen percent of the employees make more than Sara. What is Sara's salary? Round your answer to the nearest dollar.
Tuesday, June 5, 2012 at 7:06am

Calculus
Evaluate the integral: 16csc(x) dx from pi/2 to pi (and determine if it is convergent or divergent). I know how to find the indefinite integral of csc(x) dx, but I do not know how to evaluate the improper integral, at the following particular step. I know I need to take the ...
Tuesday, June 5, 2012 at 12:49am

Calculus
Differentiate x^2y^3+x^3y^4=11 implicitly to find dy/dx.
Tuesday, June 5, 2012 at 12:12am

Calculus AP
i wanna KNOW IF im DOING RIGHT. Evaluate the difference quotient for the given function. Simplify your answer. f(x)=x+3/x+1, [f(x)-f(1)]/(x-1) simplify my answer: [(x+3)/(x+1) - (1+3)/(1+1)]/(x-1) = [x+3/x+1 - 4/2] / (x-1) = [2(x+3)-4(x+1)/2(x+1)] / (x-1) = [2x+6-4x-4/2(x+1...
Monday, June 4, 2012 at 9:34pm

Calculus
Evaluate the integral: 16csc(x) dx from pi/2 to pi (and determine if it is convergent or divergent). I know how to find the indefinite integral of csc(x) dx, but I do not know how to evaluate the improper integral.
Monday, June 4, 2012 at 3:51pm

calculus
find the taylor series f(x)1/2(e^x + e^-x) ;x=0
Monday, June 4, 2012 at 8:18am

Calculus
If y=Root of(logx+root of (logx+root of logx.........infinty)...prove that dy/dx=1/x(2y-1)
Monday, June 4, 2012 at 7:25am

calculus
factory worker wages, according to data released by city chamber of commerce, the weekly wages of factory workers are normally distributed according to the probability density function f(x)= (1/50√2π)e^((-1/2)((x-500)/50​)^2) find the probability that a worker...
Monday, June 4, 2012 at 4:22am

Calculus - Optimization
A cylindrical container with a volume of 3000 cm^3 is constructed from two types of material. The side and bottom of the container cost \$0.10/cm^2 and the top of the container costs \$0.20/cm^2. a) Determine the radius and height that will minimize the cost. b) Determine the ...
Sunday, June 3, 2012 at 7:55pm

Calculus
Find the volume of the solid generated by the region in the first quadrant bounded above by the 3x+y=6, below by the x-axis, and on the left by the y-axis, about the line x= -2.
Sunday, June 3, 2012 at 6:21pm

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