
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 rotating around the x...

solid is formed by rotating the region bounded by the curve y=e−3x^2 and the xaxis between x=0 and x=1, around the xaxis. The volume of this solid is 3(1−e^−3). Assuming the solid has constant density , find x and y. I know that y bar must be 0. and I got ....

solid is formed by rotating the region bounded by the curve y=e−3x^2 and the xaxis between x=0 and x=1, around the xaxis. The volume of this solid is 3(1−e^−3). Assuming the solid has constant density , find x and y. I know that y bar must be 0. and I got ....

A solid is formed by rotating the region bounded by the curve y=e−3x2 and the xaxis between x=0 and x=1, around the xaxis. The volume of this solid is 3(1−e−3). Assuming the solid has constant density , find x and y. I know that y bar must be 0. and I got ....

Let R be the region bounded by the xaxis, x = 5 and the curve y = x. This region is rotated around the xaxis. Find the volume of the resulting solid. (Note: R is a triangular region. The resulting solid has a simple shape. You may ask me if you are highly unsure about what ...


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) Find the volume of the ...

The region R is bounded by the xaxis, yaxis, x = 3 and y = 1/(sqrt(x+1)) A. Find the area of region R. B. Find the volume of the solid formed when the region R is revolved about the xaxis. C. The solid formed in part B is divided into two solids of equal volume by a plane ...

The region R is bounded by the xaxis, yaxis, x = 3 and y = 1/(sqrt(x+1)) A. Find the area of region R. B. Find the volume of the solid formed when the region R is revolved about the xaxis. C. The solid formed in part B is divided into two solids of equal volume by a plane ...

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 by rotating the region...

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 by rotating the region...

Find the volume of the solid obtained by rotating the region bounded by y=x^3, y=1, and the yaxis and whose crosssections perpendicular to the y axis are equilateral triangles. I asked this same question for the yaxis around the xaxis (Thanks for the explanation) but I don...

Find the volume of the solid obtained by rotating the region bounded by y=x^3, y=1, and the yaxis and whose crosssections perpendicular to the y axis are equilateral triangles. I asked this same question for the yaxis around the xaxis (Thanks for the explanation) but I don...

Find the volume of the solid obtained by rotating the region bounded by y=x^3, y=1, and the yaxis and whose crosssections perpendicular to the y axis are equilateral triangles. I asked this same question for the yaxis around the xaxis (Thanks for the explanation) but I don...

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 yaxis. PLease can anyone...

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 y=18x6x^2 , y=0 : about the ...


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 the xaxis. I saw some...

Let S be the region of the xyplane bounded above by the curve ((x^3)*y)=64, below by the line y=1, on the left by the line x=2, and on the right by the line x=4. Find the volume of the solid obtained by rotating S around (a) the x axis (b) the y axis (c) the line x=2

Find the volume of the solid formed by rotating the region bounded by the graph of y equals 1 plus the square root of x, the yaxis, and the line y = 3 about the xaxis.

'Find the volume of the solid generated by revolving the region bounded by x=16y^2, xaxis, and yaxis around the xaxis.' I know in theory how to do it, but I'm a little confused by what constitutes the bounded region because it's a sideways parabola, but if the xaxis is a ...

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 rotated ...

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 rotated ...

the base of a solid is a region in the first quadrant bounded by the xaxis, the yaxis, and the line y=1x. if cross sections of the solid perpendicular to the xaxis are semicircles, what is the volume of the solid?

The base of a solid is the region in the first quadrant bounded by the graph of y = 3/(e^x) , the xaxis, the yaxis, and the line x=2. Each cross section of this solid perpendicular to the xaxis is a square. What is the volume of the solid?

R is the region in the plane bounded below by the curve y=x^2 and above by the line y=1. (a) Set up and evaluate an integral that gives the area of R. (b) A solid has base R and the crosssections of the solid perpendicular to the yaxis are squares. Find the volume of the ...

R is the region in the plane bounded below by the curve y=x^2 and above by the line y=1. (a) Set up and evaluate an integral that gives the area of R. (b) A solid has base R and the crosssections of the solid perpendicular to the yaxis are squares. Find the volume of the ...


R is the region in the plane bounded below by the curve y=x^2 and above by the line y=1. (a) Set up and evaluate an integral that gives the area of R. (b) A solid has base R and the crosssections of the solid perpendicular to the yaxis are squares. Find the volume of the ...

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=3 about the yaxis

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 axis y=1 My Work: [...

Let R be the square region bounded by y = 2, x = 2, and the x and yaxes. When R is rotated about the xaxis, what is the volume of the resulting solid? What is the volume of the solid generated by rotating R about the yaxis?

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 appreciated; not sure how to ...

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 yaxis.

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 yaxis.

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 yaxis

the volume of the solid generated by revolving infinite region bounded by xaxis, x=k, and y=1/x+2 in the first quadrant about the xaxis to generate a solid. Find the volume of the solid.

3). The shaded region is bounded by the yaxis and the graphs of y=1+√x, y=2. Find the volume of the solid obtained by rotating this region around the xaxis. Answer choices: 7/6pi, 4/3pi, 11/6pi, 5/3pi, 13/6pi, 5/6pi 4). Find the area of the region bounded by y=x^26x+7...


Let R be the region bounded by y=e^x, y=2. and the yaxis. Find the volume of the solid obtained by rotating the yaxis.

A base of a solid is the region bounded by y=e^x, the x axis, the y axis, and the line x=2. Each cross section perpendicular to the xaxis is a square Find the volume of the solid

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.

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.

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 :(

The region R is bounded by the xaxis, x = 2, and y = x^2. What is the the volume of the solid formed by revolving R about the line x = 2?

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=3x^2, x=1, y=0 about the xaxis

Find the volume of the solid whose base is the region bounded between the curve y=sec x and the xaxis from x=pi/4 to x=pi/3 and whose cross sections taken perpendicular to the xaxis are squares.

Let R be the region bounded by the xaxis and the graph of y=6xx^2 Find the volume of the solid generated when R is revolved around the yaxis

Find the volume of the solid obtained by revolving the region bounded by y=22*x−22*(x^2) and the xaxis around the xaxis.


The region in the first quadrant bounded by the xaxis, the line x = ln(π), and the curve y = sin(e^x) is rotated about the xaxis. What is the volume of the generated solid?

The region R is bounded by the xaxis, x = 1, x = 3, and y = 1/x^3. C. Find the volume of the solid generated when R is revolved about the xaxis.

Solve the problem. Find the volume of the solid generated by revolving the region bounded by the curve y=lnx, the xaxis, and the vertical line x=e^(2) about the xaxis.

The base of a solid is bounded by the curve y= sort (x+2) ,the xaxis and the line x = 1. The cross sections, taken perpendicular to the xaxis, are squares. Find the volume of the solid.

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=1/x^3,y=0,x=4,x=7. About the yaxis. Volume =

Find the volume of the solid obtained by rotating the region bounded by y=x^3, y=1, and the yaxis around the xaxis. What I did was: V=ç(0,1)pi(1x^3)^2 dx v=pi(x^7/7x^4/2+x) and I evaluated it for one since 0 is just going to be 0. and I got 9pi/14 The answer is wrong, ...

Find the volume of the solid obtained by rotating the region bounded by y=x^3, y=1, and the yaxis around the xaxis. What I did was: V=ç(0,1)pi(1x^3)^2 dx v=pi(x^7/7x^4/2+x) and I evaluated it for one since 0 is just going to be 0. and I got 9pi/14 The answer is wrong, ...

Let R be the region bounded by the graphs of y=cos((pi x)/2) and y=x^2(26/5)x+1. A. Find the area of R. B. The vertical line x=k splits the region R into two equal parts. Write, but do not solve, an equation involving integrals that solves for k. C. The region R is the base ...

Find the volume of the solid whose base is the region bounded by the x axis, the curve y=(x^2+9)^(1/2), x=1,x=3 and which has the property that each cross section perpendicular to the x axis is equilateral triangle.

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


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

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=0, y=x(3x) about the axis x = 0

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 xaxis

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 yaxis

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 yaxis

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 yaxis

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 yaxis.

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

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 yaxis

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 yaxis


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

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=6x^2, x=1, y=0, about the xaxis

Find the volume of the solid obtained by rotating the region bounded by the given curves about the speciﬁed axis. x+y = 3, x = 4−(y−1)^2; about the yaxis.

Find the volume of the solid formed by rotating the region bounded by the graph of y equals 1 plus the square root of x, the yaxis, and the line y = 3 about the line y = 5.

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

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 xaxis.

Find the volume of the solid obtained by rotating the region bounded by the given curves about the speciﬁed axis. y = 64x−8x^2, y = 0; about the yaxis.

The region enclosed by the curve y = ex, the xaxis, and the lines x = 0 and x = 1 is revolved about the xaxis. Find the volume of the resulting solid formed. How do you do this?

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 xaxis. 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.

The region in the first quadrant bounded by the xaxis, the line x = ln(π), and the curve y = sin(ex) is rotated about the xaxis. What is the volume of the generated solid? Got 2.8 and .79 very confused


Find the volume of the solid obtained by revolving the region bounded by y=(19/3)x(19/3)x^2 and the xaxis around the xaxis. Keep answer in terms of pi PLease explain each step

Find the volume of the solid obtained by rotating the region bounded by the given curves about the xaxis? y=x^2 x=y^2 about the axis x=–2 here's what i did and it was incorrect V = 2pi [x+2][x^1/2  x^2]dx from 0 to 1 V = 2 pi [2x^5/3 / 5 + 4x^3/2 / 3  x^4/4  2x^3 / 3] V...

1) Find the area of the region bounded by the curves y=arcsin (x/4), y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative. 2)Set up, but do not evaluate, the integral which gives the volume when the ...

The region enclosed by the curve y =e^x, the xaxis, and the lines x=0 and x=1 is revolved about the xaxis. Find the volume of the resulting solid formed.

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!!

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

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

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

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

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


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

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

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

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

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

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

Find the volume of the solid formed by rotating the region enclosed by y=e^(5x) , \ y=0, \ x=0, \ x=0.8 around the yaxis Please help, i have been attempting these problems for a couple of days

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 computes the volume of ...

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 computes the volume of ...

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 rotating the above region ...


Sketch the region enclosed by the lines x=0 x=6 y=2 and y=6. Identify the vertices of the region. Revolve the region around the yaxis. Identify the solid formed by the revolution calculate the volume of the solid. Leave the answer in terms of pi.

find the volume of the solid formed by revolving the region bounded by y=e^x, y=0, x=o and x=1 about the y axis by using the shell method, i got v=2*pi int(o to 1) (x)(e^x) dx and my teacher said the answer is e/2 but i keep getting a different answer Are you sure it is to be ...

The base of a solid in the region bounded by the graphs of y = e^x y = 0, and x = 0, and x = 1. Cross sections of the solid perpendicular to the xaxis are semicircles. What is the volume, in cubic units, of the solid?

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

The region in the first quadrant bounded by the xaxis, the line x = π, and the curve y = sin(sin(x)) is rotated about the xaxis. What is the volume of the generated solid?
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