I have some question about math 181
1. Consider the curves
y=2√x and y=x
bounded by both curves in the first quadrant.
(a) Find the area of
R
(b) Find the volume of the solid obtained by rotating
R
x
2. Consider the region
S
y= cube root of x
y
. Find the volume of the solid obtained by rotating
S
-axis.
3. Find the length of the curve
y= 2/3 x^(3/2)
[3,8]
4. Consider the triangle with vertices
,
(2,0)
. Calculate the volume of the solid obtained by rotating this triangle about the line
y=