Friday
April 18, 2014

Search: region bounded by and the solid extends

Number of results: 7,967

calculus
Use the shell method to find the volume of the solid formed by rotating the region bounded by y=x^3, y=0, x=0, and x=2 about the line x=3.
Monday, February 4, 2013 at 4:00pm by Liz

calculus
he volume of the solid obtained by rotating the region bounded by x=(y−2)^2 and y=x about the x-axis has the form N/2π. What is the value of N?
Thursday, July 18, 2013 at 2:27pm by andy

calculus
Using a double integral, find the volume of the solid that's bounded by the cylinder z=x^2 and below by the region enclosed by the parabola y=2-x^2 and the line y=x
Tuesday, November 3, 2009 at 2:59pm by john

Calc
The volume of the solid formed by revolving the region bounded by the graph of y = (x-3) and the coordinate axes about the x-axis is given by what integral?
Sunday, January 2, 2011 at 7:18pm by Erica

Calculus
Find the volume, V , of the solid obtained by rotating the region bounded by the graphs of x = y2, x = squareroot(y) about the line x = −1.
Tuesday, February 2, 2010 at 4:01am by caleb

Calculus
Use the disk method to find the volume of the solid generated when the region bounded by 4= 1/(fourth root of (1-11x)), y=0, x=0, and x=1/22.
Tuesday, January 24, 2012 at 12:56pm by Becca

Calculus
Let R be the region bounded by y=x^2, x=1, and y=0. Use the shell method to find the volume of the solid generated when R is revolved about the line x=-11.
Sunday, January 29, 2012 at 4:32pm by Becca

Calculus
Find the volume or the solid generated by revolving around the region bounded by the graphs of the equations about line x=6. xy=6, y=2, y=6, and x=6
Monday, May 28, 2012 at 9:02pm by Christina

Calculus Voulme
find the volume of the solid generated by revolving the region r bounded by the graphs of the given equations about the y-axis. x^2+y^2=1 x=1 y=1
Thursday, July 19, 2012 at 6:47pm by Laurie

Calculus
Use the disk method to find the volume of the solid formed by rotating the region bounded by y=2x and y=x^2 about the y-axis.
Wednesday, January 30, 2013 at 7:19pm by Liz

calculus
Use the disk method to find the volume of the solid formed by rotating the region bounded by y=2x and y=x^2 about the y-axis.
Wednesday, January 30, 2013 at 10:15pm by Liz

Calculus
Use the disk method to find the volume of the solid formed by rotating the region bounded by y=2x and y=x^2 about the y-axis
Monday, February 4, 2013 at 3:43pm by Liz

Calculus (Volume of Solids)
A solid has, as its base, the circular region in the xy-plane bounded by the graph of x^2 + y^2 = 4. Find the volume of the solid if every cross section by a plane perpendicular to the x-axis is a quarter circle with one of its radii in the base.
Tuesday, March 13, 2012 at 2:14pm by Casablanca

calculus
10). Find the area of the region bounded by the graph of f(x)=4lnx/x, y=0, x=5.8 11). Find the area of the region bounded by x=y^2-1y, x=0
Sunday, April 14, 2013 at 9:20pm by Sally

calculus
Find the volume of the solid generated by revolving the region about the given line. The region is in the first quadrant bounded above by the line y= sqrt 2, below by the curve y=secxtanx, and on the left by the y-axis. Rotate the region about the line y=sqrt 2. i also need to...
Monday, May 23, 2011 at 7:20pm by ashley

calculas(URGENT..... PLEASE....)
1) A region is bounded by the line y = x and the parabola y = x2 - 6x + 10. What is the volume of the solid generated by revolving the region about the x-axis? would u please give the explanation with a detailed steps to the answer because i am not able to reach the final ...
Tuesday, April 12, 2011 at 3:12am by arun

Math
Find the volme of the solid generated by revolving the region bounded by the triangle with vertices (1,1) (1,3) and (2,3) about the x axis using shells and washers.
Thursday, September 30, 2010 at 4:39pm by Danielle

CALCULUS
Let R be the region bounded by y=e^x, y=2. and the y-axis. Find the volume of the solid obtained by rotating the y-axis.
Thursday, November 15, 2012 at 9:58pm by Sarah

calculus
Find the volume of the solid generated by revolving the region about the given line. The region in the second quadrant bounded above by the curve y = 16 - x2, below by the x-axis, and on the right by the y-axis, about the line x = 1 I have gathered, that washer method is to be...
Friday, April 12, 2013 at 10:33am by Tiffany

Calculus
What is symmetric around the y-axis? This is confusing because I don't really know how to draw the solid. First it says the solid has the base of R. So does that mean R should be on the x-axis? But how do you find out the length of the side of the square? Is one side of the ...
Thursday, January 28, 2010 at 2:36am by Jake

math
Find the volume of the solid generated by revolving the region bounded by y= x^(1/2), y= 0, and x= 3 revolving around the y-axis.
Saturday, September 1, 2012 at 7:31pm by Danelle

calc volume
find the volume of a solid formed when the region bounded by y = e^(x-3) and y = 1 + ln(x) is rotated about the y-axis.
Wednesday, December 19, 2012 at 5:32pm by mary

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 by Maryam

geometry
Consider the region in Quadrant 1 totally bounded by the 4 lines: x = 3, x = 9, y = 0, and y = mx (where m is positive). Determine the value of c such that the vertical line x = c bisects the area of that totally bounded region. Needless to say, your first task should be to ...
Monday, March 18, 2013 at 7:18pm by borat

geometry
Consider the region in Quadrant 1 totally bounded by the 4 lines: x = 3, x = 9, y = 0, and y = mx (where m is positive). Determine the value of c such that the vertical line x = c bisects the area of that totally bounded region. Needless to say, your first task should be to ...
Monday, March 18, 2013 at 7:25pm by borat

math
Consider the region in Quadrant 1 totally bounded by the 4 lines: x = 3, x = 9, y = 0, and y = mx (where m is positive). Determine the value of c such that the vertical line x = c bisects the area of that totally bounded region. Needless to say, your first task should be to ...
Tuesday, March 19, 2013 at 6:51pm by borat

Calculus
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. y=ln x, y=0, x=1, x=3 Please show the steps in your work, thanks! :)
Thursday, March 27, 2008 at 4:21pm by Sun

Calculus
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. y=ln x, y=0, x=1, x=3 Please show the steps in your work, thanks! :)
Saturday, March 29, 2008 at 2:23am by Pan

Calculus
Find the volume of the solid obtained by rotating the region bounded by the curves about the line x=-3, y=x^2, x=y^2. I keep getting the wrong answer!! Please hellpp!! =(
Wednesday, December 15, 2010 at 5:28pm by Anonymous

Calculus
A solid has as its base a circular region in the xy plane bounded by the graph of x^2 + y^2 = 4. Find the volume of a solid if every cross section by a plane perpendicular to the x-axis is an isosceles triangle with base on the xy plane and altitude equal to the length of the ...
Saturday, September 11, 2010 at 6:31pm by Denise

calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=1/x^4, y=0, x=2, x=9; about y=5
Tuesday, October 20, 2009 at 9:00pm by Jessica

calculus
Give the volume of the solid generated by revolving the region bounded by the graph of y=ln(x), the x-axis, the lines x=1 and x=e, about the y-axis
Thursday, March 4, 2010 at 7:19pm by josh

Calc
find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis y=x^2+1; y=9-x^2; about y=-1
Thursday, December 15, 2011 at 7:15pm by Ashley

Calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line: y=x, y=x^(1/2); about x=2
Tuesday, February 28, 2012 at 6:54pm by Heather

AP Calculus
Let R be the region bounded by the x-axis and the graph of y=6x-x^2 Find the volume of the solid generated when R is revolved around the y-axis
Sunday, April 22, 2012 at 11:05pm by Kelsey

Volume
Find the volume of the solid generated by revolving the region bounded by the given curves and line about the y-axis. y=50-x^2 y=x^2 x=0
Thursday, July 19, 2012 at 7:19pm by Jamie

math-cal.
find the volume of the solid formed by revolving the region bounded by the graph of y=2x^2+4x and y=0 about the y- axis ( express the answernin terms of pie)
Tuesday, February 2, 2010 at 9:38pm by Nancy

math
Finf the volume of the solid generated by revolving the region bounded by the curve. x=2/(y+1), x=0, y=0, y=3, about y-axis. My ans is pie unit^3. Is it correct? if wrong can i know the right calculation.
Thursday, December 20, 2012 at 10:52pm by ifi

calculus
Set up the integral that would be used to find the volume of the solid obtained by rotating the region bounded by y=x^3 , y=8, and x=0 about the x=-4. use disk/washer method.
Monday, May 6, 2013 at 11:49pm by diego

math calculus
The volume of the solid obtained by rotating the region bounded by y=x^2−2x and y=x about the line y=9, has the form a/bπ, where a and b are positive coprime integers. What is the value of a+b?
Wednesday, July 17, 2013 at 1:54pm by andy

calc2
Let R denote the region in the plane consisting of all points (x,y) where x ≥ 1 and 0 ≤ y ≤ 2/x. Let S denote the solid formed by rotating R about the x-axis. Observe that S is an unbounded region; that is, it extends indefinitely in the direction of the ...
Thursday, March 8, 2012 at 10:24pm by Anon

Calculus
Find the area of the region bounded by the line y=3x and y= x^3 + 2x^2? and find the area of the region bounded by the curve y=e^2x -3e^x + 2 and the x-axis?
Tuesday, May 10, 2011 at 7:26pm by Akansha

Calculus
Find the volume of the solid formed by revolving the region bounded by the graphs of y=4x^2 and y=16 about the x-axis. (Washer Volume)
Sunday, January 31, 2010 at 5:40pm by john

calculus one
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^4,y=1; about y=5
Thursday, April 8, 2010 at 4:17pm by lssa

Calculus ll - Volumes
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y=e^(-x), y=1, x=2; about y=2.
Thursday, October 7, 2010 at 3:29am by Abby

Calculus
Determine the volume of the solid formed by rotation about the x-axis of the region bounded by the curves y=4^x-1 and y = 21x on the interval 0<x<3.
Sunday, January 30, 2011 at 1:42pm by Alex

calculus
Determine the volume of the solid formed by rotation about the y-axis of the region bounded by the curves y=4^x-1 and y = 21x on the interval 0< x<3.
Sunday, January 30, 2011 at 1:44pm by Jamal

Calc2
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = x2, y = 1; about y = 6
Friday, March 2, 2012 at 8:28am by Cait

calculus
Let R be the region in the first quadrant bounded by the graphs of y=e^-x, y=1/2x+1, and x=2. Then find the volume of the solid when R is revolved about each of the following lines... the x axis, y=-1, y=2, the y axis, x=-1, and x=3.
Wednesday, December 15, 2010 at 10:42am by Drew

Calculus
The base of a solid is the region bounded by the parabola y^2=4x and the line x=2. Each plane section is perpendicular to the x-axis is a square. What id the volume of the square?
Sunday, April 3, 2011 at 6:39pm by Amanda

math
Which of the following integrals computes the volume of the solid formed by revolving the region bounded by the graph of y = Ln(x), the x-axis, and the line x = 3 about the line x = 3?
Wednesday, April 27, 2011 at 2:54pm by anonymous

Math
The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any method. x = (y − 6)^2, x = 1; about y = 5
Thursday, January 24, 2013 at 2:45am by Em

Calculus 2b
First make yourself a graph to see what the bounded region looks like. It looks to me like the region between two parabolas, one with a horizontal axis and one wth a vertical axis, with intersection points at (0,0) and (1,1). When this region gets rotated about an axis at x...
Tuesday, August 17, 2010 at 10:52pm by drwls

calculus 1
can you please help me, i'm really confused Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. y= 20sqrt y, x=0, y=1
Wednesday, May 5, 2010 at 2:17pm by Miya

Calculus
"Find the volume of the solid generated by revolving the region bounded by the graphs of the given equations about the indicated lines: y = 2x^2 y = 0 x = 2 About the line y = 8"
Sunday, April 18, 2010 at 3:17pm by Stuck

Calculus
Use the disk method to find the volume of the solid generated when the region bounded by y=15sinx and y=0, for 0 </= x </= pi, is revolved about the x-axis.
Tuesday, January 24, 2012 at 12:55pm by Becca

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 by Liz

Math
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = (64 − x^2)^(1/4), y = 0, x = 6, x = 7; about the x-axis
Monday, January 21, 2013 at 2:20pm by Em

Calculus I
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y=7x^5 y=7x, x is greater than or equal to 0
Tuesday, April 30, 2013 at 1:01pm by Anonymous

cal
Solve the problem. Find the volume of the solid generated by revolving the region bounded by the curve y=lnx, the x-axis, and the vertical line x=e^(2) about the x-axis.
Monday, December 23, 2013 at 10:24am by tony

Calc
The region bounded by y=2.5x^2 and y=4x is to be rotated about both axes and the volume generated calculated by both the washer and the shell methods. 1)The volume of the region bounded by y=2.5x^2 and y=4x, when rotated about the x-axis is? 2) The volume of the region bounded...
Sunday, September 16, 2012 at 1:39pm by l

math
Find the volume of a solid generated by revolving the region bounded by y=secx and y=0 and x=0, x-pi/4 about the x axis. Don't evaluate. Please help!!!! Also, what si the average value of this equation? I don't understand what that means.
Sunday, April 17, 2011 at 9:08pm by olivie

calculus
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations and/or inequalities about the indicated axis. x = y(25 − y2)^1/2 x = 0 the y-axis
Wednesday, February 2, 2011 at 8:25pm by Morgan

AP Calc
The base of a solid is the region in the first quadrant bounded by the ellipse x^2/a^2 + y^2/b^2 = 1. Each cross-section perpendicular to the x-axis is an isosceles right triangle with the hypotenuse as the base. Find the volume of the solid in terms of a and b. I'm having ...
Monday, March 17, 2014 at 5:14pm by Anon

calculus
Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y = x3 y = 0 x = 3 a)the line x = 4
Wednesday, January 25, 2012 at 10:48pm by ReinaS

Calculus
Consider the solid obtained by rotating the region bounded by the following curves about the line x=1. y=x,y=0,x=4,x=6 Find the volume So it would be pi (integral from 3 to 6) of ((1-y)^2 -(1-0)^2) right? so then you integrate it and get pi(Y^3/3-y^2) from 3 to 6. ?
Wednesday, January 29, 2014 at 3:15pm by christina

calculus
find the volume of the solid bounded above by the surface z=f(x,y) and below by the plane region R f(x,y)= 4-2x-y; R{(x,y)0<x<1;0<y<2
Thursday, April 5, 2012 at 10:07am by sol

calculus
Consider the graphs of y = 3x + c and y^2 = 6x, where c is a real constant. a. Determine all values of c for which the graphs intersect in two distinct points. b. suppose c = -3/2. Find the area of the region enclosed by the two curves. c. suppose c = 0. Find the volume of the...
Tuesday, March 23, 2010 at 11:37pm by mary

Calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2, x=y^2 about the axis x=1
Thursday, October 30, 2008 at 12:16am by Sam

Calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2 x=y^2 about the axis x=5
Wednesday, April 29, 2009 at 4:58pm by Anonymous

Calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=0, y=x(3-x) about the axis x = 0
Monday, August 2, 2010 at 10:10pm by Grant

calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=4 x^2, x = 1, y = 0, about the x-axis
Thursday, December 9, 2010 at 6:00pm by john

CALCULUS:)
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2, x=y^2 about the axis x=3
Tuesday, August 16, 2011 at 8:21pm by Brit

Calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2,x=y^2 about the axis x=7
Friday, October 26, 2012 at 8:05pm by Cindy

math
find the volume of the solid formed by revoving the region bounded by the graphs of y=absoulute value cosx, x=0, x=2pi, y+x=0 about y=2 after a lot of messy calculations I got 548.2 Do you have a numerical answer?
Monday, April 30, 2007 at 10:04pm by helpless

Calculus
Find the volume of the solid formed by rotating the region enclosed by y=e^(1x)+4 y=0 x=0 x=0.3 about the x-axis. I attempted this problem numerous time and kept on getting 5.501779941pi, using the formale integral of pi(r^2) bounded by 0.3 and 0.
Tuesday, August 28, 2012 at 11:03pm by Huey

Math Calc 1 Last question
Find the volume of the solid obtained by rotating the region bounded by the curves y=4x-x^2, y=8x-2x^2 about the line x=-2. I got 256 pi/3 but pretty sure my work is wrong.
Wednesday, December 12, 2012 at 5:56am by Anonymous

Calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x=4y^2, y=1, x=0 about the y-axis
Sunday, January 23, 2011 at 9:31pm by anonymous

math
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x=2y^2 , y=1 ,x=0 about the y-axis
Saturday, January 29, 2011 at 1:14am by yoo

Calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x=2y^2 y=1 x=0 about the y-axis
Friday, April 22, 2011 at 6:55pm by Loree

CALCULUS:)
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x=3y^2, y=1, x=0 about the y-axis.
Tuesday, August 16, 2011 at 8:20pm by Brit

calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2, y = 0, x = 0, x = 3, about the y-axis
Wednesday, December 7, 2011 at 11:21pm by Matthew barlow

Calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2, y = 0, x = 0, x = 3, about the y-axis
Wednesday, December 7, 2011 at 11:36pm by Matthew barlow

calculus - please help!
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=2+1/x^4,y=2,x=4,x=9; about the x-axis.
Thursday, February 9, 2012 at 9:15pm by archi

Algebra 2
A retail lumberyard plans to store lumber in a rectangular region adjoining the sales office. The region will be fenced on three sides and the fourth side will be bounded by the wall of the office. Find the dimensions of the region if 350 feet of fencing is available and the ...
Tuesday, May 22, 2012 at 10:45pm by Carolyn

Calculus BC
Let the region bounded by x^2 + y^2 = 9 be the base of a solid. Find the volume if cross sections taken perpendicular to the base are isosceles right triangles. (a) 30 (b) 32 (c) 34 (d) 36 (e) 38
Wednesday, December 19, 2012 at 5:39pm by Misha

Calculus
Let R be the region bounded by the curve x=9y-y^2 and the y- axis. Find the volume of the solid resulting from revolving R about the line y= -6. I believe the integral limits are from y=0 to y-9 i set up h(x) = 9y-y^2 r(x) = y+6 I am not sure if this is correct Can anyone help...
Wednesday, December 4, 2013 at 9:18pm by Salome

calculus
The figure shows the region bounded by the x-axis and the graph of . Use Formulas (42) and (43)-which are derived by integration by parts-to find (a) the area of this region; (b) the volume obtained by revolving this region around the y-axis.
Saturday, May 29, 2010 at 9:44am by rene

calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x2x=y2 about the axis x=3
Thursday, February 7, 2008 at 3:45pm by gennadiy

Calculus
Find the volume of the solid whose base is the region bounded by y=x^2 and the line y=0 and whose cross sections perpendicular to the base and parallel to the x-axis are semicircles.
Sunday, January 29, 2012 at 4:34pm by Becca

Calculus
Find the volume of the solid generated by revolving the region bounded by the line y=5x+6 and the parabola y=x^2 about the following lines: a) the line x=6 b) the line x=-1 c)the x axis d) the line y=36 Thanks!
Sunday, September 16, 2012 at 2:16pm by h

calculus
let R be the region bounded by the x-axis, the graph of y=sqrt(x+1), and the line x=3. Find the area of the region R
Sunday, May 1, 2011 at 1:30pm by paul

Math
sketch the region bounded by the graphs of f(y)=(y/Squareroot of(16-y^2)), g(y)=0, y=3 and find the area of the region.
Thursday, March 15, 2012 at 8:35pm by Kim

Calc Jacobian
Thanks "I know that the xy region is the line x=y y=0 and y=1- x/2)" It is helpful to rewrite the region in the x-y plane by specifying the three lines and the endpoints, i.e. the points where they intersect. If you insert these points in the formula for U and V you obtain the...
Monday, December 4, 2006 at 3:41am by Rob

Calculus
let V be volume of the solid obtained by rotating about the y-axis the region bounded by y=sqrtx and y=x^2. find V both by slicing and by cylindrical shells. in both cases, draw a diagram to explain your method. I'm SO stuck!
Wednesday, September 15, 2010 at 9:42pm by Abby

calculus
find the volume of the solid of revolution obtained by revolving the region bounded above by the curve y=f(x) = √16-x^2 and below by the curve y=g(x) from x=0 to x=x√2 about the x-axis
Saturday, March 3, 2012 at 5:01am by Anonymous

calculus
find the volume of the solid of revolution obtained by revolving the region bounded above by the curve y=f(x) = √16-x^2 and below by the curve y=g(x) from x=0 to x=x√2 about the x-axis
Sunday, March 4, 2012 at 11:52am by help pleaseee

calculus II
Consider the solid obtained by rotating the region bounded by the given curves about the line y = 2. Y = 2+secx -pi/3<= x <= pi/3 , y = 4 Find the volume
Wednesday, February 17, 2010 at 4:44pm by JILL

Calculus 2b
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2 x=y^2 about the axis x=3 ? Having Trouble please help!!
Tuesday, August 17, 2010 at 10:52pm by Mary

calculus
I am going to do this in a bit of a tricky way. I can foresee having to integrate (ln(x))^2 which could be rather messy so let's take the inverse of the whole mess If we had: Give the volume of the solid generated by revolving the region bounded by the graph of y=e^x, the y-...
Thursday, March 4, 2010 at 7:19pm by Reiny

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