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August 27, 2014

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

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Calculus
The volume of a spherical cancerous tumor is given by the following equation. V(r) = (4/3)pi r^3 If the radius of a tumor is estimated at 1.4 cm, with a maximum error in measurement of 0.003 cm, determine the error that might occur when the volume of the tumor is calculated. cm3
Thursday, June 13, 2013 at 8:52pm

Calculus
A car leaves an intersection traveling west. Its position 5 sec later is 22 ft from the intersection. At the same time, another car leaves the same intersection heading north so that its position 5 sec later is 27 ft from the intersection. If the speed of the cars at that ...
Thursday, June 13, 2013 at 8:51pm

Calculus
The total worldwide box-office receipts for a long-running movie are approximated by the following function where T(x) is measured in millions of dollars and x is the number of years since the movie's release. T(x) = (120x^2)/(x^2 + 4) How fast are the total receipts ...
Thursday, June 13, 2013 at 8:16pm

Calculus
Suppose f and g are functions that are differentiable at x = 1 and that f(1) = 2, f '(1) = -1, g(1) = -2, and g '(1) = 3. Find the value of h '(1). h(x) = (x2 + 11) g(x) h '(1) =
Thursday, June 13, 2013 at 8:16pm

Calculus
The relationship between the amount of money x that Cannon Precision Instruments spends on advertising and the company's total sales S(x) is given by the following function where x is measured in thousands of dollars. S(x) = -0.002x3 + 0.9x2 + 4x + 500 (0 x 200) Find the ...
Thursday, June 13, 2013 at 8:15pm

Calculus
The demand function for the Luminar desk lamp is given by the following function where x is the quantity demanded in thousands and p is the unit price in dollars. p = f(x) = -0.1x2 - 0.3x + 39 (a) Find f '(x). f '(x) = (b) What is the rate of change of the unit price ...
Thursday, June 13, 2013 at 8:14pm

Calculus
Find the points on the graph of f where the tangent line is horizontal. f(x) = x3 - 15x2 (x, y) = ( , ) (smaller x-value) (x, y) = ( , ) (larger x-value)
Thursday, June 13, 2013 at 8:14pm

Calculus
Find the slope and the equation of the tangent line to the graph of the function f at the specified point. f(x) = -8/5 x^2 + 7 x + 7;(-1, -8/5) slope tangent line y =
Thursday, June 13, 2013 at 8:12pm

Calculus
Let f(x) = 4x5/4 + 10x3/2 + 9x. Find the following. (a) f '(0) = (b) f '(16) =
Thursday, June 13, 2013 at 8:11pm

Calculus
Given that f(x)=x^8h(x) h(−1)=5 hŒ(−1)=8 Calculate fŒ(−1).
Thursday, June 13, 2013 at 9:52am

Calculus
The equation of motion of a particle is s=4t^3−7t, where s is in meters and t is in seconds. Find a) the velocity of the particle as a function of t : v(t)= b) the acceleration of the particle as a function of t : a(t)= c) the velocity after 5 seconds d) the acceleration...
Thursday, June 13, 2013 at 8:42am

Calculus
Find an equation for the tangent line of the function f(x)=6+10xe^x at the point (0,6).
Thursday, June 13, 2013 at 6:40am

Calculus
Consider the vector field: F(x,y)=2xyi+x^(2)j Integrate F over a path starting at (0,0) and ending at (2,2).
Wednesday, June 12, 2013 at 8:56pm

Calculus
Let f(x,y)=sqrt(1-x^2) and R be the triangular region with corners (0,0), (1,0), and (1,1). Evaluate the double integral(R) f(x,y)dA.
Wednesday, June 12, 2013 at 8:53pm

Calculus
Find an equation for the tangent line of the function y=x+(4/x) at the point (2, 4). The equation of the tangent line is . You may enter the equation in any form.
Wednesday, June 12, 2013 at 6:11pm

Calculus
Given that f(x)=x^8h(x): h(−1)=5 hŒ(−1)=8 Calculate fŒ(−1)?
Wednesday, June 12, 2013 at 5:37pm

Calculus
A rectangular box is to have a square base and a volume of 20 ft3. The material for the base costs 42¢/ft2, the material for the sides costs 10¢/ft2, and the material for the top costs 26¢/ft2. Letting x denote the length of one side of the base, find a function...
Tuesday, June 11, 2013 at 3:32pm

calculus
solve for the second derivative and set to zero f"(x) = ((x^2-4)*sin(2x)- [(2x)(1+cos^2(x))]/ ((1+cos^2(x))^2) i dont know how to set it to zero and solve i get this: (x^2-4)(sin(2x))= (2x)(1+cos^2(x)) thanks for help i did not get a clear response earlier so i am ...
Tuesday, June 11, 2013 at 9:02am

calculus
solve for the second derivative and set to zero f"(x) = ((x^2-4)*sin(2x)- [(2x)(1+cos^2(x))]/ ((1+cos^2(x))^2) i dont know how to set it to zero and solve i get this: (x^2-4)(sin(2x))= (2x)(1+cos^2(x)) thanks for help
Monday, June 10, 2013 at 11:36pm

Calculus Grade 12
Without solving , determine the points of intersection of the line r= (5,-9,3) +k (1,-12,2] and the plane [x,y,z]= (4,-15,-8) + s[1,-3,1] + t[2,3,1], if any exist.
Monday, June 10, 2013 at 5:18pm

Calculus grade 12 lines and planes
Find the value of k so that the line [x,y,z] = [2,-2,0]+ t[2,k,-3] is parallel to the plane kx +2y - 4z= 12
Monday, June 10, 2013 at 5:12pm

Calculus Grade 12
Determine the value of k such that the points (4,-2,6), B(0,1,0) and C(1,0,-5) and D (1,k,-2) lie on the same plane.
Monday, June 10, 2013 at 3:36pm

Calculus Grade 12
Find the equation of the plane that passes through the point (3,7,-1) and is perpendicular to the line of intersection of the planes x-y-2z+3=0 and 3x-2y+z+5=0
Monday, June 10, 2013 at 3:32pm

calculus
simplify aab-3/Ba^2b-2
Sunday, June 9, 2013 at 11:59pm

Pre-Calculus
can someone help me with figuring out my math and explaining it to me. or How to use the calculator with the problems ?
Sunday, June 9, 2013 at 8:48pm

Calculus
If F(x)=x^3−7x+5, use the limit definition of the derivative to find FŒ(5), then find an equation of the tangent line to the curve y=x^3−7x+5 at the point (5, 95). FŒ(5)= The equation of the tangent line is y = x + . Check your answer for ...
Sunday, June 9, 2013 at 1:12am

Calculus
If an arrow is shot straight up from the surface of the moon with an initial velocity of 100 ft/s, its height in feet after t second is given by s(t)=(100t)−(83/100)(t^2). Use the limit definition of the derivative to find the answers to the following questions. Find the...
Saturday, June 8, 2013 at 10:12pm

calculus
In the computer game, there must be a ramp that is 2 m wide, with height 3 m and length. 5 m. Assume that one corner of the bottom of the ramp is at the origin.
Saturday, June 8, 2013 at 11:49am

Calculus
Let f(x)=−4−3x+2x^2. Use the limit definition of the derivative to find find fŒ(a)
Saturday, June 8, 2013 at 7:00am

calculus
find the absolute maximum and minimum of sqrt 3 x^2/36 + (1-x)^2/32
Saturday, June 8, 2013 at 1:10am

Calculus
I'm trying to find the radius of convergence for $(x-2)^n/(2x+1) I did the ratio test and ended up with: absolute value[(x-2)/(2x+1)]<1 How would I solve for the inequality at this point?
Friday, June 7, 2013 at 9:57pm

Calculus
Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. f(x) = 16 - 10 x Step 2: f(x + h) - f(x) = Step 4: f'(x) = lim(h->0)(f(x + h)- f(x))/h =
Friday, June 7, 2013 at 9:19pm

Calculus
The demand function for Sportsman 5 X 7 tents is given by the following function where p is measured in dollars and x is measured in units of a thousand. (Round your answers to three decimal places.) p = f(x) = -0.1x^2 - x + 40 (a) Find the average rate of change in the unit ...
Friday, June 7, 2013 at 3:20pm

Calculus
Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent line. f(x) = 15/(4 x) at (1,(15/4) m = y =
Friday, June 7, 2013 at 3:20pm

Calculus
A major corporation is building a 4325 acre complex of homes, offices, stores, schools, and churches in the rural community of Glen Cove. As a result of this development, the planners have estimated that Glen Clove's population (in thousands) t yr from now will be given by...
Friday, June 7, 2013 at 3:19pm

Calculus
The concentration of a certain drug (in mg/cm3) in a patient's bloodstream t hr after injection is given by the following function. C(t) = (0.6 t)/(t^2 + 5) Evaluate the limit. (If an answer does not exist, enter DNE.)
Friday, June 7, 2013 at 3:19pm

Calculus
Find the indicated limit given the following. lim_(x->a)f(x)= 10 and lim_(x->a)g(x) = 12 lim_(x->a)(f(x)*g(x)) =
Friday, June 7, 2013 at 3:18pm

Calculus
Find the indicated limit given the following. lim_(x->a)f(x) = 8 lim_(x->a)(2f(x)) =
Friday, June 7, 2013 at 3:14pm

Calculus
Find the indicated limit. lim_(x->-63.5)(root3(2x + 2))
Friday, June 7, 2013 at 3:13pm

Calculus
Complete the table by computing f(x) at the given values of x. (Round your answers to three decimal places.) f(x) = 2x^2 - 7 x 6.9 6.99 6.999 7.001 7.01 7.1 Use these results to estimate the indicated limit (if it exists). (If an answer does not exist, enter DNE.) lim_(x->7...
Friday, June 7, 2013 at 2:53pm

Calculus
Under a set of controlled laboratory conditions, the size of the population of a certain bacteria culture at time t (in minutes) is described by the following function. P = f(t) = 3t^2 + 2t + 1 Find the rate of population growth at t = 10 min. bacteria per minute
Friday, June 7, 2013 at 2:46pm

Calculus
Use the intermediate value theorem to find the value of c such that f(c) = M. f(x) = x^2 - x + 1 text( on ) [-1,12]; M = 21
Friday, June 7, 2013 at 2:44pm

Calculus
Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent line. f(x) = 15/4 x at (1,15/4)
Thursday, June 6, 2013 at 7:08pm

Calculus
y = f(x) = x^2 - 6 x (a) Find the average rate of change of y with respect to x in the following intervals. from x = 2 to x = 3 from x = 2 to x = 2.5 from x = 2 to x = 2.1 (b) Find the (instantaneous) rate of change of y at x = 2.
Thursday, June 6, 2013 at 6:58pm

Calculus
Use Green's theorem to evaluate the integral: y^(2)dx+xy dy where C is the boundary of the region lying between the graphs of y=0, y=sqrt(x), and x=9
Thursday, June 6, 2013 at 3:10pm

Calculus
Use Green's theorem to evaluate the integral: y^(2)dx+xy dy where C is the boundary of the region lying between the graphs of y=0, y=sqrt(x), and x=9
Thursday, June 6, 2013 at 3:10pm

calculus
A conical party hat made out of cardboard has a radius of 4cm and a height of 12cm. When filled with beer, it leaks at the rate of 4cm^3/min. (a)At what rate is the level of the beer failing when the beer is 6cm deep? (b) When is the hat half empty?
Wednesday, June 5, 2013 at 9:40pm

calculus 2
Test the series for convergence/divergence. The Summation from n=1 to infinity of: 1*3*5...(2n-1)/(2*5*8...(3n-1) I'm not sure what to do with the extra terms on the left.
Wednesday, June 5, 2013 at 6:50pm

Pre-calculus
Given f(x)=6x^4-7x^3-23x^2+14x+3, approximate each real zero as a decimal to the nearest tenth.
Wednesday, June 5, 2013 at 4:18pm

Pre-Calculus
How to write this conic section in standard form? 3y^2 = 108 - 12x^2
Wednesday, June 5, 2013 at 1:49pm

Pre-Calculus
How to write this conic section in standard form? 3y^2 = 108 - 12x^2
Wednesday, June 5, 2013 at 1:47pm

Calculus
Use Green's theorem to evaluate the integral: y^(2)dx+xy dy where C is the boundary of the region lying between the graphs of y=0, y=sqrt(x), and x=9
Wednesday, June 5, 2013 at 1:11pm

Pre-calculus
Explain how the graph of f(x)=(-2)/(x-3)^2 can be obtained from the graph of y=1/x^2 by means of translations, compressions, expansions, or reflections.
Wednesday, June 5, 2013 at 9:59am

Calculus
5. Find the volume of the solid generated by revolving the region bounded by y = x2, y = 0 and x = 1 about (a) the x-axis (b) the y-axis
Wednesday, June 5, 2013 at 6:04am

Calculus
4. Find the volume of a pyramid of height 160 feet that has a square base of side 300 feet
Wednesday, June 5, 2013 at 6:04am

Calculus
3. Find the volume of the solid with cross-sectional area A(x) = 10 e^0.01x, 0 ≤ x ≤ 10.
Wednesday, June 5, 2013 at 6:03am

Calculus
(c) y=x2,y=2−x,and the vertical linex=2
Wednesday, June 5, 2013 at 6:02am

Calculus
Find the integral of sin(x) cos(x)/sin^2(x)-4 dx
Wednesday, June 5, 2013 at 5:59am

Calculus
(c) find the integral of 1/squrt (x^2+2x+10) dx
Wednesday, June 5, 2013 at 5:57am

Calculus
(c) find the integral of e^x/ e^3x + e^x dx
Wednesday, June 5, 2013 at 5:55am

calculus
What is the antiderivative of. 3X/x^2?
Wednesday, June 5, 2013 at 1:35am

pre-calculus
equation for parabola with focus (8,-2) directrix x=4
Sunday, June 2, 2013 at 8:48pm

CALCULUS
Find the gradient and directional derivative of f at P in the direction of v: f(x,y)=ln(x^2 + y^2 +1)+ e^(2xy) P(0,2) v=5i-12j
Sunday, June 2, 2013 at 6:50pm

pre-calculus
Move point (3,50 degrees) according to the following symmetries (keep positive) a. symmetrical to the origin b. symmetrical to theta=0 degrees c. symmetrical to theta= 90 degrees
Sunday, June 2, 2013 at 6:29pm

pre-calculus
Convert the following parametic equation into a polar equation: x=t y=(2t-4)/3
Sunday, June 2, 2013 at 6:25pm

pre-calculus
Josh fires a catapult 18 ft above the ground with an initial velocity of 25 ft/sec. The misslie leaves the catapult at an angle of degree theta with the hoizontal and heads toward a 40 ft wall 500 ft from the launch site. If the missle is fired at a 20 degree angle, does it ...
Sunday, June 2, 2013 at 6:23pm

Calculus - HELP plz!
Find all of the first partial derivatives of f(x,y,z)=arctan y/xz
Sunday, June 2, 2013 at 2:57pm

Calculus
Find the equation of the tangent plane and symmetric equation for the normal line to the given surface at P: xy^2 + zy^2 + 4y -xz^2 = 18 P(-2,0,3)
Sunday, June 2, 2013 at 1:10pm

Calculus
Find the equation of the tangent plane and symmetric equation for the normal line to the given surface at P: xy^2 + zy^2 + 4y -xz^2 = 18 P(-2,0,3)
Sunday, June 2, 2013 at 12:49am

pre calculus
Choose the point on the terminal side of 135°
Saturday, June 1, 2013 at 5:15pm

Calculus help!
Does the limit of xy/(x^2 + y^2) exist as (x,y)--->(0,0)? Why or why not??
Saturday, June 1, 2013 at 4:03pm

to:writeacher
In response to a typo which I immediately corrected: Writeacher writes: "@allthehomework needs to stop answering questions since he/she often has to apologize or is not 100% sure of what he/she has written. =(" That was not very classy Writeacher. I see that you are ...
Saturday, June 1, 2013 at 4:16am

Calculus
A helium balloon rises vertically at 3.5m/s as the wind carries it horizontally at 5.0m/s. What is the resultant velocity of the balloon?
Friday, May 31, 2013 at 10:58pm

Calculus
Find all first partial derivatives: f(x,y)=e^(xy)cosx
Friday, May 31, 2013 at 6:49pm

Calculus
If a ball is thrown straight up into the air with an initial velocity of 95 ft/s, its height in feet after t seconds is given by f(t)=95t−16t^2 Find the average velocity for the time period beginning when t=1 and lasting (i) 0.5 seconds (ii) 0.1 seconds (iii) 0.01 ...
Friday, May 31, 2013 at 6:36pm

Calculus
If 2x-2¡Üf(x)¡Üx^2-2x​+2, determine limx-->2f(x)= (Use squeeze theorem)
Friday, May 31, 2013 at 6:27pm

Calculus
Evaluate the following limit, if it exists: lim h-->0 ((sqrt9+h)-3/(h)
Friday, May 31, 2013 at 6:19pm

Calculus
If a ball is thrown straight up into the air with an initial velocity of 95 ft/s, its height in feet after t seconds is given by f(t)=95t−16t^2 Find the average velocity for the time period beginning when t=1 and lasting (i) 0.5 seconds (ii) 0.1 seconds (iii) 0.01 ...
Friday, May 31, 2013 at 12:53am

Pre-Calculus
A gardener has 100' of edging. She wants to use it to enclose a 130 square foot rectangular area; she does not have to use up all of the edging. What are the possible lengths that a side of the rectangle can have? Answer using interval notation. Hint: If the length of the ...
Thursday, May 30, 2013 at 8:24pm

Pre-Calculus
A gardener has 72' of edging. She wants to use it to enclose a 125 square foot rectangular area; she does not have to use up all of the edging. What are the possible lengths that a side of the rectangle can have? Answer using interval notation. Hint: If the length of the ...
Thursday, May 30, 2013 at 8:18pm

Calculus
A rancher wants to build a rectangular pen with an area of 150 m^2? a. Find an equation for the perimeter P in terms of W and L . b. Use the given area to write an equation that relates W and L . c. Find the pen dimensions that require the minimum amount of fencing. Width = ...
Wednesday, May 29, 2013 at 3:53am

calculus
For the function r(x)=x3+6x2x2−36, find the following. a. the y - intercept b. the x - intercepts c. all horizontal asymptotes. y = d. all vertical asymptotes. x =
Wednesday, May 29, 2013 at 3:40am

calculus 12
7. ABC has vertices A(3,2,-5), B(4,-1,7) and C(-8,3,-6). a) Determine the area of ABC. b) Determine the coordinates of point D such that ABCD is a parallelogram. c) Is the parallelogram a rectangle? Justify your answer.
Tuesday, May 28, 2013 at 10:42pm

math calculus (please help me)
The marginal cost of a product is modeled by dC/dx= 16/cube root 16x + 3 where x is the number of units. When x = 17, C = 120. (a) Find the cost function. (Round your constant term to two decimal places.) c= (b) Find the cost of producing 90 units. (Round your answer to two ...
Tuesday, May 28, 2013 at 6:03pm

math calculus
Find the equation of the function f whose graph passes through the given point. (Remember to use ln |u| where appropriate.) f'(x) = x^3 − 4x^2 + 3/ x − 3 ; (4, −5) f(x) =
Tuesday, May 28, 2013 at 5:32pm

math calculus
Find the equation of the function f whose graph passes through the point (0, 4/3) and whose derivative is f'(x) = x sqrt 16 − x^2 . f(x) =
Tuesday, May 28, 2013 at 5:30pm

math calculus
The marginal cost of a product is modeled by dC/dx= 16/cube root 16x + 3 where x is the number of units. When x = 17, C = 120. (a) Find the cost function. (Round your constant term to two decimal places.) c= (b) Find the cost of producing 90 units. (Round your answer to two ...
Tuesday, May 28, 2013 at 5:28pm

Calculus
Find the area between the two curves y1= x^2 - 4x + 5 and y2 = 2x - 3, finding the points of intersection algebraically.
Monday, May 27, 2013 at 3:39am

Calculus
A rancher wants to build a rectangular pen with an area of 150 m2. Let W be the width of the pen and L be the length of the pen. a. Find an equation for the perimeter P in terms of W and L . b. Use the given area to write an equation that relates W and L . c. Find the pen ...
Sunday, May 26, 2013 at 5:06pm

Calculus antiderivatives
find an antiderivative of the function ((t-1)^2)/sqrt(t) that goes through the point (1,2) i find derivative of top and bottom first and get 2t-2/(1/2*sqrt(t)) but this doesnt give right solution then i find diervative of that again and i get 2/(-1/4 * t^(-3/2)) what am i ...
Sunday, May 26, 2013 at 4:38pm

Calculus
Find DOMAIN and RANGE of the following: a) f(x)= 3/(|x+3|) b) 1/(cube root of 9x-x^2) c) ln(9x+x^2) Please help, I have no idea how to find domain and range of these. Step-by-step would be really helpful. Thank you so much!
Sunday, May 26, 2013 at 11:36am

integral calculus
find indefinite integral [(sinx)^3]*[(cosx)^3] dx i got 1/192 * ((cos(6x)-9cos(2x)) + C but this isnt right. explain plz? thnx
Sunday, May 26, 2013 at 11:27am

Calculus
1. Evaluate the following integrals (a) 􏰀 4x2 +6x−12 / x3 − 4x dx
Sunday, May 26, 2013 at 3:33am

Calculus
If 6e^5x=23, then what does x equal?
Saturday, May 25, 2013 at 11:33pm

How to get quick responses to your math questions
Math is a wide subject, ranging from K to 11, college and university. Then there is algebra, trigonometry, geometry, arithmetic, calculus, number theory, ... etc. Not all teachers answer all math questions (many do). If you would give a little more detail on which branch of ...
Saturday, May 25, 2013 at 9:45am

Calculus
Intergrate the following. y = cos(x)(2sin(x)-1)^6
Saturday, May 25, 2013 at 3:14am

Calculus
At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 24 knots and ship B is sailing north at 19 knots. How fast (in knots) is the distance between the ships changing at 6 PM?
Friday, May 24, 2013 at 8:37pm

Calculus
The linearization at a=0 to sqrt(1+6x) is A+Bx where A is: ____ and where B is : ______
Friday, May 24, 2013 at 5:37pm

Calculus
Rewrite the expression ^2ãã(64x^2)in the form of nx^r Where n=? Where r=?
Friday, May 24, 2013 at 3:04pm

Per Calculus
The Washington family can purchase a new home with an 80,000 loan at 6% interest. If the term of the loan is set up to be 20yrs (240 months), what will be there monthly payment toward this loan. Use formula n=-In(1-A(r/12)I P) ______________ In(1 + r/12)
Friday, May 24, 2013 at 12:03pm

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