Volumes of Revolution and more!

1. Solution!

2. A.I.) Exploration of Functions
4x2 = 2x3 ­­ find points of intersection
*To find the points of intersection, make each function equal to
each other to find points where each function co­exist

3. A.I.) Exploration of Functions
4x2 = 2x3 ­­ find points of intersection
0 = 2x3 ­ 4x2 ­­ solve for the roots
0 = 2x2 (x ­ 2) ­­ factor out 2x2
x = 0, 2 ­­ points of intersection
*Through simple algebra, we find two points of intersection.
These points are the boundaries of which the area coincides.