Question

Calculate the volume of a rotating object if the area bounded by y = x ^...

Calculate the volume of a rotating object if the area bounded by y = x ^ 2 and y = 6x-x ^ 2 is rotated around the line x = 3. Complete your answer with a sketch of the rotated area and the axis of rotation.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
a) Given the region bounded by y=1/x, x=7, y=7 and rotating around x=7, find the volume....
a) Given the region bounded by y=1/x, x=7, y=7 and rotating around x=7, find the volume. b) Find the volume of the solid given by y=2x-x^2, while rotating around the y-axis.
What is the volume of the solid obtained by rotating the region bounded by the curves...
What is the volume of the solid obtained by rotating the region bounded by the curves y = −x^2 + 4x − 3 and y = 0 rotated about the y-axis?
Find the volume of the solid obtained by rotating the region bounded by y=x^2 and y=2x...
Find the volume of the solid obtained by rotating the region bounded by y=x^2 and y=2x by a) the x-axis b) the y-axis c) the line x=2
Find the volume V of the solid obtained by rotating the region bounded by the given...
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5x4,   y = 5x,   x ≥ 0;    about the x-axis Find the area of the region enclosed by the given curves. y = 3 cos(πx),    y = 12x2 − 3 Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. 2x = y2,  x = 0,  y = 5;  about the...
#6) a) Set up an integral for the volume of the solid S generated by rotating...
#6) a) Set up an integral for the volume of the solid S generated by rotating the region R bounded by x= 4y and y= x^1/3 about the line y= 2. Include a sketch of the region R. (Do not evaluate the integral). b) Find the volume of the solid generated when the plane region R, bounded by y^2= x and x= 2y, is rotated about the x-axis. Sketch the region and a typical shell. c) Find the length of...
find the volume of the solid obtained by rotating the region bounded by the given curves...
find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y=sqrt x-4 , y=0 and x=9 rotated about the x axis
Find the volume V of the solid obtained by rotating the region bounded by the given...
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. 2x = y^2, x = 0, y = 5; about the y-axis sketch the region, sketch the solid
Calculate the volume of the solid generated by rotating the region bounded by the curves x...
Calculate the volume of the solid generated by rotating the region bounded by the curves x = 2y^2 and x = y^2 + 1 about the line y = -2
The region is bounded by y=2−x^2 and y=x. (a) Sketch the region. (b) Find the area...
The region is bounded by y=2−x^2 and y=x. (a) Sketch the region. (b) Find the area of the region. (c) Use the method of cylindrical shells to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about the line x = −3. (d) Use the disk or washer method to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about...
Consider the region bounded by y=sqrt(x) and y=x^3 a) Find the area of this region b)...
Consider the region bounded by y=sqrt(x) and y=x^3 a) Find the area of this region b) Find the volume of the solid generated by rotating this region about the x-axis using washer c) Find the volume of the solid generated by rotating this region about the horizontal line y=3 using shells
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT