Thursday

July 24, 2014

July 24, 2014

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**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 ^2ãã(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*

**calculus**

I'm having trouble with a geometric series problem. Determine if the infinite summation of (-3)^(n-1)/4^n converges or diverges. If it converges, find the sum. So the answer says that sigma -3^(n-1)/4^n = 1/4 * sigma (-3/4)^(n-1) How did they factor out the 1/4? My algebra...
*Friday, May 24, 2013 at 1:15am*

**calculus**

A particle moves in a straight line under a force such that its displacement s(t), in metres, at time t seconds, is given by s(t) = t3 − 5t2 + 3t +15 Find the time at which the particle is at rest?
*Thursday, May 23, 2013 at 9:39am*

**Math calculus **

The altitude of a triangle is increasing at a rate of 1000 centimeters/minute while the area of the triangle is increasing at a rate of 1500 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 7000 centimeters and the area is 89000...
*Wednesday, May 22, 2013 at 10:18pm*

**Pre-calculus**

As you drive down a mountain, you see a sign that says there is a 6 degree grade over the next 5 miles. What is the change in elevation over that 5 mile stretch?
*Wednesday, May 22, 2013 at 8:41pm*

**integral calculus**

integral of sin(x^2) dx i actually got the ans, but aftr differentiating the answer i am not getting back the question
*Wednesday, May 22, 2013 at 8:01am*

**Calculus**

A ladder of length 10 metres is being drawn up a wall. The top of the ladder is moving upwards at 1 metre per second. Find the speed with which the foot of the ladder is approaching the wall when the foot is 6 metres from the wall.
*Wednesday, May 22, 2013 at 3:01am*

**Calculus**

3) Find the area bounded by the curves f(x)= x^3 + x^2 and g(x)= 2x^2 + 2x. I get 4653pi/105 after help from Mr. Reiny, but this is wrong. Have I calculated incorrectly? Thank you
*Wednesday, May 22, 2013 at 12:29am*

**Calculus**

We're learning disks, shells, and cylinders in school but we have a substitute and I've been trying to teach this to myself. Can you check them please? =) Thank you! 1) Find the volume of the solid formed when the region bounded by curves y=x^3 + 1, x= 1, and y=0 is ...
*Tuesday, May 21, 2013 at 9:30pm*

**Calculus**

We're learning disks, shells, and cylinders in school but we have a substitute and I've been trying to teach this to myself. Can you check them please? =) Thank you! 1) Find the volume of the solid formed when the region bounded by curves y=x^3 + 1, x= 1, and y=0 is ...
*Tuesday, May 21, 2013 at 4:52pm*

**calculus**

Find the area of the region between the parabola 4y = x^2 and the line 3x + 4 y = 4
*Tuesday, May 21, 2013 at 9:38am*

**calculus**

Find the volume of the solid that is obtained when the region under the curve y = 4 − x^2/6 is revolved around the y -axis between y = 0 and y = 4 .
*Tuesday, May 21, 2013 at 9:36am*

**Calculus II**

Find the sum of the series (infinity above sigma) signma and n = 4 3^n-2 divided by 2^2n-3 please I really need help on this
*Monday, May 20, 2013 at 11:18pm*

**calculus**

A manufacturer wishes to produce the most economical packaging for detergent. The containers need to hold 25litres and must be cylindrical in shape. What dimensions will ensure that the least amount of plastic is used to create the containers. (Note: the volume and surface ...
*Monday, May 20, 2013 at 10:17pm*

**Calculus**

Find the derivative of the following function f(x)=(x-3/2x+3)^2
*Monday, May 20, 2013 at 10:14pm*

**Pre-Calculus **

A surveyor measures the distance between buildings X and Y as 200 feet. The angle of elevation from the base of X to the top of Y is 25 degrees. What is the height of building Y?
*Monday, May 20, 2013 at 7:38pm*

**Pre-calculus...**

How do you remove the 2 pi in this problem? csc 19pi/4 remove 2 pi -> (8pi/4) -> 11pi/4 -> 3pi/4 >> i really don't know how do they the 2 pi twice so it would become 8pi. Please help me!
*Monday, May 20, 2013 at 5:48pm*

**calculus**

The demand function for a product is given by p = 10,000(1 − (5/5 + e^−0.001x)) where p is the price per unit (in dollars) and x is the number of units sold. Find the numbers of units sold for prices of p = $1000 and p = $1500.(Round your answers to the nearest ...
*Monday, May 20, 2013 at 2:06pm*

**Calculus**

Find and classify the relative maxima and minima of f(x) if f(x)= defint a=0 b=x function= t^2-4/(1+cos(t)^2) dt x^2-4/(1+cos(x)^2)= 0 x^2-4=0 x^2=4 x= +/- 2 So I got relative maximum as -2 and 2. And relative minimum as zero. However, when I graph it on Wolfram, it gives me ...
*Monday, May 20, 2013 at 9:56am*

**Calculus**

Find the derivative of the following function: f(x)= 10x-3/5x +6x
*Monday, May 20, 2013 at 9:01am*

**Calculus**

A particle moves in a straight line under a force such that its displacement s(t), in metres, at time t seconds, is given by s(t) = t3 − 5t2 + 3t +15 (i) Find the expression for the velocity of the particle. (ii) Find the time at which the particle is at rest. (iii) Find...
*Monday, May 20, 2013 at 8:36am*

**calculus**

For the function f(x) = 3x2 − 5x − 7. Find the rate of change of f(x) at x = 3
*Monday, May 20, 2013 at 8:23am*

**math calculus (please help me)**

Solve for t. (Round your answer to two decimal places. (2 − (2.479/35))^7t= 29
*Monday, May 20, 2013 at 12:18am*

**math calculus**

The demand function for a product is given by p = 10,000(1 − (5/5 + e^−0.001x)) where p is the price per unit (in dollars) and x is the number of units sold. Find the numbers of units sold for prices of p = $1000 and p = $1500.(Round your answers to the nearest ...
*Monday, May 20, 2013 at 12:13am*

**math calculus (please help me)**

In 1970, the total enrollment in public universities and colleges in a country was 5.1 million students. By 2004, enrollment had risen to 14.3 million students. Assume enrollment can be modeled by exponential growth. (a) Estimate the total enrollments in 1980, 1990, and 2000...
*Saturday, May 18, 2013 at 7:22pm*

**ap calculus**

Solve the integral ∫csc(z+π/6)cot(z+π/6)dz
*Saturday, May 18, 2013 at 10:25am*

**Followup-Calculus-Extrema**

Find and classify the relative maxima and minima of f(x) if f(x)= defint a=0 b=x function= t^2-4/(1+cos(t)^2) dt x^2-4/(1+cos(x)^2)= 0 x^2-4=0 x^2=4 x= +/- 2 So I got relative maximum as -2 and 2. And relative minimum as zero. However, when I graph it on Wolfram, it gives me ...
*Friday, May 17, 2013 at 9:44pm*

**Pre-Calculus 11**

In Triangle DEF, DE = 8cm and Angle D= 60 degrees. When EF = 7 cm, how many triangles are possible?
*Thursday, May 16, 2013 at 7:11pm*

**Pre-Calculus 11**

In Triangle DEF, DE = 11cm and EF = 9 cm. For which measure of angle D is it possible to draw two scalene triangles.
*Thursday, May 16, 2013 at 7:08pm*

**calculus**

In 1970, the total enrollment in public universities and colleges in a country was 5.1 million students. By 2004, enrollment had risen to 14.3 million students. Assume enrollment can be modeled by exponential growth. (a) Estimate the total enrollments in 1980, 1990, and 2000...
*Thursday, May 16, 2013 at 6:55pm*

**calculus**

please help me Asap In 1970, the total enrollment in public universities and colleges in a country was 5.1 million students. By 2004, enrollment had risen to 14.3 million students. Assume enrollment can be modeled by exponential growth. (a) Estimate the total enrollments in ...
*Thursday, May 16, 2013 at 6:53pm*

**Calculus **

Using the four-step process find f(x)= 13 I know it is 0 and how to do the 4-step process, I just don't know how to do it without an exponent. Help please!
*Wednesday, May 15, 2013 at 2:07pm*

**Calculus **

describe the surface and give traces : x = y^2 - 4z^2
*Wednesday, May 15, 2013 at 1:33pm*

**Calculus**

Three forces with magnitudes 75 pound, 100 lb, and 125 pound act on an object at angles of 30 degrees, -45 degrees, and 120 degrees respectively. Find the direction and magnitude of the resultant vector.
*Wednesday, May 15, 2013 at 1:31pm*

**calculus-extrema**

Find and classify the relative maxima and minima of this function f(x)= definite integral sign where a=0 and b=x. t^2-4/(1+(cos^2(t)) dt what should my value for u be? is it just t. not sure how to even tackle this problem.
*Wednesday, May 15, 2013 at 10:50am*

**Calculus**

An object is traveling along the x axis so that its speed is given by v(t)=t^2-7t+10 m/s. (a) Find the times when the object is at rest. (b) Find the acceleration at both of these times. Interpret the acceleration in terms of the motion of the object, ie whether the object is ...
*Wednesday, May 15, 2013 at 10:36am*

**calculus solved**

evaluate integral definite integral sign a=1 b=8 4(x^(2/3)+14)^3/((x^(1/3))) dx I get u= x^2/3 + 14 then du= 2/3 * x^(-1/3) dx 6 { u^4/4 | a=1 b=8 Then I get 3u^4/2 | a=1 b=8 2048-1.5= 2046.5 Is this correct. thank you all.
*Wednesday, May 15, 2013 at 10:13am*

**Calculus help!**

Three forces with magnitudes 75 pound, 100 lb, and 125 pound act on an object at angles of 30 degrees, -45 degrees, and 120 degrees respectively. Find the direction and magnitude of the resultant vector.
*Tuesday, May 14, 2013 at 5:27pm*

**Calculus**

Describe the surface and give traces: x = y^2 - 4z^2
*Tuesday, May 14, 2013 at 4:29pm*

**calculus**

Farmer Jones has 210 meters of fence. She wishes to construct a rectangular pen using the river as one side and dividing the pen into six separate rectangular pens as shown. What should the dimensions of the combined pens be to maximize the area enclosed? 7 vertical and one ...
*Tuesday, May 14, 2013 at 3:51pm*

**calculus (gr 12)**

the productivity of a person at work (on a scale of 0-10) is modeled by a cosine function: 5cos (pie/2t) +5, where t is in hours. If the person starts work at t=0, being 8:00 am, at what times is the worker the least productive? a) 12pm B) 10 am and 2pm C) 11 am and 3 pm D) 10...
*Tuesday, May 14, 2013 at 11:00am*

**calculus**

The marginal cost for a product is given by dC/dq = 1000/sqrt3q+20, in hundreds of dollars, where q is given in thousands of units. Determine the cost in dollars involved in increasing product from 10 to 15 thousand units. If R(0)= C(0)= 0, the marginal revenue is given by dR/...
*Tuesday, May 14, 2013 at 7:29am*

**Calculus**

Fuel is flowing into a storage tank which can be filled to a depth of 6 metres. When the fuel started flowing the tank was already filled to a depth of 2.5m. If the rate at which the depth of fuel in the tank is increasing, in metres per hour is given by d'(t) = 4t +5, ...
*Tuesday, May 14, 2013 at 7:28am*

**Calculus**

An object is traveling along the x axis so that its speed is given by v(t)=t^2-7t+10 m/s. (a) Find the times when the object is at rest. (b) Find the acceleration at both of these times. Interpret the acceleration in terms of the motion of the object, ie whether the object is ...
*Tuesday, May 14, 2013 at 3:16am*

**Calculus**

An object is traveling along the x axis so that its speed is given by 2 v(t) t 7t 10 m/s. (a) Find the times when the object is at rest.
*Tuesday, May 14, 2013 at 3:13am*

**Calculus **

An OPEN box has a square base and a volume of 108 cubic inches and is constructed from a tin sheet. Find the dimensions of the box, assuming a minimum amount of material is used in it's construction. HINT: the goal is to minimize the surface are of the OPEN box; this is ...
*Tuesday, May 14, 2013 at 12:19am*

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