Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the xaxis. xy = 2, x = 0, y = 2, y = 4
114,831 results
Calculus
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. x = 7y^2, y ≥ 0, x = 7; about y = 2

calculus2
Use cylindrical shells to find the volume V of the solid. A sphere of radius r

Calculus
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y= 2e^(−x), y= 2, x= 6; about y = 4. How exactly do you set up the integral? I know that I am supposed to use the washer method but I

calculus2
Use cylindrical shells to find the volume V of the solid. A right circular cone with height 9h and base radius 5r. The answer is 75πhr^2 but my answer is 39πhr^2. How???

Calculus
a) Find the volume formed by rotating the region enclosed by x = 6y and y^3 = x with y greater than, equal to 0 about the yaxis. b) Find the volume of the solid obtained by rotating the region bounded by y = 4x^2, x = 1, and y = 0 about the xaxis. c)

AP calc
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = 8x − x^2, y = 12; about x = 2

calculus
1.Evaluate the integral. (Use C for the constant of integration.) integral ln(sqrtx)dx 2. Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the curves about the given axis. y = 4ex, y = 4e−x, x = 1;

calculus
1. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = ln(5x), y = 1, y = 3, x = 0; about the yaxis 2. Use the method of cylindrical shells to find the volume V generated by rotating the

calculus
Consider the solid obtained by rotating the region bounded by the given curves about the xaxis. y = 9  9x^2 , y = 0 Find the volume V of this solid. Sketch the region, the solid, and a typical disk or washer. Any help or tips would be greatly

Calculus
Find the volume of the solid obtained by rotating the region bounded by y= x^(1/3), and y= x about the line y=1

Calculus II
Consider the solid obtained by rotating the region bounded by the given curves about the yaxis. y = ln x, y = 4, y = 5, x = 0 Find the volume V of this solid. Help!!! Thank you in advance :(

Calculus
Find the volume of the solid obtained by rotating the region enclosed by y=x^3, y=25x, x ≥ 0

calculus
Find the volume of the solid obtained by rotating the region bounded by the curves y = x^8, y = 1 about the line y = 5.

Math
Find the volume of the solid obtained by rotating the region enclosed by y=x^2, y=6x about the line x=0using the method of disks or washers.

math
use the method of cylindrical shells to find the volume generated by rotation the region bounded by x=y^2+1, x=2, about y=2. Sketch the region, the solid, and a typical shell. I know that for shells, its 2pix*f(x)*dx. i am having trouble figuring out what

calculus
Consider the solid obtained by rotating the region bounded by the given curves about the line x = 6. y = sqrt(x), y = x Find the volume V of this solid.

Calc
The volume of the solid obtained by rotating the region enclosed by y=e^(5x)+2 y=0 x=0 x=0.7 about the xaxis can be computed using the method of disks or washers via an integral A=? b=? V=?

cal
Find the volume of the solid obtained by rotating the region bounded by y=4x^2,x=1,y=0 about the xaxis.

Can no one help?!
1. Use cylindrical shells to compute the volume of the solid formed by revolving the region bounded by y= 2x and y = x^2 3 about x= 6. 2. Find the volume of the solid formed by revolving the region bounded by y= e^x , y= e^x, and y= 3 about y= 5. I'm

Math
The volume of the solid obtained by rotating the region bounded by y=e^x, y=Inx, x=1, and x=2 about the line yaxis can be computed using the method of cylindrical shells. Using the method of cylindrical shells find the volume.

Cal 2
Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves y=3/(1+x^2), y=0, x=0, and x=2 about the line x=4. Volume =

Calculus
This problem set is ridiculously hard. I know how to find the volume of a solid (integrate using the limits of integration), but these questions seem more advanced than usual. Please help and thanks in advance! 1. Find the volume of the solid formed by

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.

calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the line x=3 y=x^2, x=y^2

calculus
Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the xaxis. xy = 2, x = 0, y = 2, y = 4

Calculus
Use cylindrical shells to find the volume formed by rotating the region in the first quadrant enclosed by: y=1.21.4x12 and y=0 about the yaxis

calculus
The volume of the solid obtained by rotating the region enclosed by y=x^2 y=2x about the line x=2 can be computed using the method of disks or washers via an integral The volume is V

calculus
Find the volume of the solid obtained by rotating the region bounded by y=x and y=√x about the line x=2. Volume =

Physics (Mechanics)
A uniform plate of height H= 0.69 m is cut in the form of a parabolic section. The lower boundary of the plate is defined by: y= 1.10x^2. The plate has a mass of 5.62 kg. Find the moment of inertia of the plate about the yaxis. Alright, I've done this so

Calculus 2
use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the xaxis. xy=1, x=0, y=1, y=3

Calculus
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the? Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = 8. 27y = x^3, y = 0,

calculus
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = 4x − x2, y = 3; about x = 1

Calculus 2
use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the yaxis. y=x^(1/3), y=0, x=1

calculus
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. 27y = x3, y = 0, x = 6

AP calc
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = 13 sqr.(x) y = 0, x = 1; about x = −3

calculus
The volume of the solid obtained by rotating the region enclosed by y=x^2 y=2x about the line x=2 can be computed using the method of disks or washers via an integral The volume is V

calculus edit
1. Find the volume formed by rotating the region enclosed by x=5y and x=y^3 with y is greater than or equal to 0 about the yaxis. 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis

calculus 2
Consider the solid obtained by rotating the region bounded by the given curves about the line x = 3. y = x^2 , x = y^2 Find the volume V of this solid. I keep finding the wrong answer.

K
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3e^(x), y = 3, x = 2; about y = 6

Ap calc
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 xaxis. x + y = 3, x = 4 − (y − 1)^2

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 xaxis. y= 20sqrt y, x=0, y=1

calculus
The volume of the solid obtained by rotating the region enclosed by y=1/x^4 y=0 x=2 x=4 about the line x=−5 can be computed the method of cylindrical shells via an integral The volume is V

Calculus
Consider the region bounded by the curves y=e^x, y=e^x, and x=1. Use the method of cylindrical shells to find the volume of the solid obtained by rotating this region about the yaxis.

Calculus
let V be volume of the solid obtained by rotating about the yaxis 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!

calculus
use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the xaxis. sketch the region and a typical shell. x=1+y^2, x=0, y=1, y=2

Calculus (math)
The volume of the solid obtained by rotating the region enclosed by y=1/x4,y=0,x=1,x=6 about the line x=−2 can be computed using the method of cylindrical shells via an integral. it would be great if you can just even give me the function inside that I

Calculus
Find the volume of the solid by rotating the region bounded by the given curves about the xaxis. Use the method of cylindrical shells. y=4x^2 2x+y=6 I drew the picture and the intersection points are at x=1.5 and x=1. I'm not sure how to identify the

math
find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. x=2=2sqrty, x=0, y=9 about the y axis. Is this the disk or shells method and how do I set this problem up?

Calculus 2
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 4. y = 3 x^4 y = 0 x = 2

Calculus 1
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y=8x^2, y= x^2 ; about x=2 V=?

Math
Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves x=y^(1/2), x=0, and y=4 about the x axis.

CALCULUS
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the yaxis. Y = 3/X, Y = 0, X =5, X = 2

calculus
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = x3, y = 8, x = 0; about x = 9

Calculus 1
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y=8x^2, y= x^2 ; about x=2 V=?

calculus
using the method of shells, set up, but don't evaluate the integral, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. Y=e^x, x=0, y=2, about y=1

calculus
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. 27y = x3, y = 0, x = 6

Math calculus by rotation
Calculate the volume obtained by rotating around y= 3 the area between the curves x= y^2 4 x+y+2=0 I did the Volume as an integral between (4, 0) of (x^2 +x  12  6(x+4) ^1/2) dx The method I used is seeing the solid as a washer(? Can someone help me

calculus
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the yaxis. y=4/x, y=0, x=2, x=3 I know you have to integrate from 2 to 3 but im not sure what the integral should be

mathcalculus 2
Consider the given curves to do the following. 64 y = x^3, y = 0, x = 4 Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = 1.

Calculus
Write the integral in one variable to find the volume of the solid obtained by rotating the firstquadrant region bounded by y = 0.5x^2 and y = x about the line x = 7. I have to use the volume by disks method, but I'm confused about how to set it up and

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.

calculus
Sketch the region bounded by the curves y = x^2, y = x^4. 1) Find the area of the region enclosed by the two curves; 2) Find the volume of the solid obtained by rotating the above region about the xaxis; 3) Find the volume of the solid obtained by

Calculus I don't understand
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = 10 x and y = 5 x^2 about y =0 Find the volume of the solid obtained by rotating the region bounded by y=8 x^2, x = 1, and y = 0 , about

Calculus
Use cylindrical shells to find the volume formed by rotating the region in the first quadrant enclosed by: y=1.21.4x12 and y=0 about the yaxis

calulus
The volume of the solid obtained by rotating the region enclosed by y=x^2 y=2x about the line x=2 can be computed using the method of disks or washers via an integral The volume is V

Math
what is the volume of the solid obtained by rotating the region bounded by y=x^2, and y=5x about the line x=5 using the washer method and respect to dy?

CALCULUS MAJOR HELP!!!!!!
Find the volume of the solid obtained by rotating the region bounded y = 16 x and y = 2 x^2 about y =0 Find the volume of the solid obtained by rotating the region bounded about the xaxis by y=4x^2, x =1, and y = 0 Find the volume of the solid generated

Calculus volume stuff
Find the volume of the solid obtained by rotating the region bounded y = 16 x and y = 2 x^2 about y =0 Find the volume of the solid obtained by rotating the region bounded about the xaxis by y=4x^2, x =1, and y = 0 Find the volume of the solid generated

Calculus
I would like to know if my answers are correct: Disclaimer: We are allowed to keep our answers in formula form 1. Use the washer method to find the volume of the solid that is generated by rotating the plane region bounded by y=x^2 and y = 2x^2 about the

Calculus
1. Find the volume formed by rotating the region enclosed by x=5y and x=y^3 with y¡Ý0 about the yaxis. 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis y=18x6x^2 , y=0 : about the

maths
Through cylindrical shells to find the volume of the solid generated by revolving the region enclosed by the graphs of y=e^x/2,y=1, x=ln3 about x axix

calculus
Consider the solid obtained by rotating the region bounded by the given curves about the xaxis. y = 6 x^6 , y = 6 x , x >= 0 Find the volume V of this solid.

calculus
Consider the solid obtained by rotating the region bounded by the given curves about the line x = 4. x= 4y^2 , x = 4 Find the volume V of this solid.

CALCULUS 2
Consider the solid obtained by rotating the region bounded by the given curves about the line x = 1. y = x, y = 0, x = 4, x = 6 Find the volume V of this solid

calculus
Consider the solid obtained by rotating the region bounded by the given curves about the xaxis. y=6x^5, y=6x, x>or equal to 0 Find the volume V of this solid.

calculus
Find the volume of the solid obtained by rotating the region bounded by y=x and y=x√ about the line x=2. Volume =

Calculus 2
Find the volume of the solid obtained by rotating the region bounded by the curves y=cos(X), y=0, x=0, x=pi/2 about the line y=1 Volume=?

Math Calculus 1
Have mercy! Find the volume of the solid obtained by rotating y=3+2xx^2, x+y=3 about the yaxis.

calculus
Find the volume of the solid obtained by rotating the region bounded by y= x^2 and x=y^2 about the xaxis.

Calculus
Find the volume of the solid obtained by rotating the region bounded by y= x^2, y=0, and x=3 about the xaxis.

calculus
Find the volume of the solid obtained by rotating the region bounded by y=5x+25, y=0 about the yaxis.

Calculus
Find the volume of the solid obtained by rotating the region enclosed by y=x^3, y=25x, x ≥ 0

calculus
Find the volume of the solid obtained by rotating the region bounded by y=5x+25 y=0 about the yaxis.

calculus
Find the volume of the solid obtained by rotating the region bounded by y=5x+25 and y=0 about the yaxis.

calculus
Find the volume of the solid obtained by rotating the region bounded by y=4x^2,x=1,y=0 about the xaxis.

Calculus
Find the volume of the solid obtained by rotating the region bounded by y= x^2, y=0, and x=3 about the xaxis.

calculus
Find the volume of the solid obtained by rotating the region bounded by y= x^3 and x= y^3 about the line x= 1.

Calculus
Find the volume of the solid obtained by rotating the region bounded by y=8x+24, y=0 about the yaxis.

Calculus
Find the volume of the solid obtained by rotating the region bounded by y= x^(1/3), and y= x about the line y=1

calculus
Find the volume of the solid obtained by rotating the region bounded by y=5x+25 y=0 about the yaxis.

cal
Find the volume of the solid obtained by rotating the region bounded by y=5x+25 y=0 about the yaxis.

Calculus AB
Consider the region trapped between the graphs of y=9x^2 and y=113x. a) find the area of this region b) set up an integral which computes the volume of the solid of rotation obtained by rotating this region about the xaxis c) set up an integral which

Calculus AB
Consider the region trapped between the graphs of y=9x^2 and y=113x. a) find the area of this region b) set up an integral which computes the volume of the solid of rotation obtained by rotating this region about the xaxis c) set up an integral which

Calculus
Find the volume of the solid obtained by rotating the region enclosed by the graphs of y=18x, y=3x6 and x=0 about the yaxis V=

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=1; about y=7

calculus 2
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y = 0, x = 2, x = 6; about x = 1

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

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

calculus
help!! please ...Find the volume of the solid obtained by rotating the region bounded by y=5x+25 y=0about the yaxis

Calculus
find volume of solid obtained by rotating region bounded by curves y=x and y=sq.rt x, about line x=2