1)the equations given result into a parabola with vertex at(4,0) and a circle with radius 4 and centre at (0,0). so the region bounded by them is a point(correct me if i am wrong).so the volume will be 0.
1) Consider the region R bounded by:
x=4-y^2 and x=sqrt(4-y^2)
Find the volume of the solid that results when R is rotated about the y-axis.
2) Consider the region X bounded by:
x=1, y=2-x, and y=2e^x
Find the volume of the solid that results when X is rotated about the line x=2.
I just need help setting up the integrals, I can easily compute them. Thanks a bunch!
There is no additional specification, but I believe it is referring to the area between the circle and the parabola in Quadrants I and IV (i.e. positive x) So the big area between the parabola and circle in the positive x side, as well as the small areas on the top and bottom in the picture.