I’m trying to learn for my Calculus class and I’m stuck. Can you help?
1. Consider the curves
y=2√x and y=x
and the region
bounded by both curves in the first quadrant.
(a) Find the area of
(b) Find the volume of the solid obtained by rotating
2. Consider the region
in the first quadrant bounded by
y= cube root of x
. Find the volume of the solid obtained by rotating
3. Find the length of the curve
y= 2/3 x^(3/2)
on the interval
4. Consider the triangle with vertices
. Calculate the volume of the solid obtained by rotating this triangle about the line