CALCULUS
Review 7.1 - 7.3
NAME: ____________________________
DATE: ____________ PERIOD: _______
For each problem, sketch an accurate graph. Be sure to label all important points such as intercepts,
vertices, etc. AND draw a sample rectangle. SHOW ALL WORK!
For #1 – 3, find the area between the curves.
1.
2.
3.
For #4 – 5, find the volume of the solid generated by revolving the following regions about the given
curve. Use ANY method (Disc, Washer or Shell) that seems appropriate.
4.
5.
6. Find the volume of the solid generated by revolving the region bounded by the curves y = x3, x = 0,
x = 3, y = 0, rotated about the x-axis.
7. Find the volume of the solid generated by revolving the region bounded by the curves
x = y2 + 1 and x = 5, rotated about the y-axis.
8. Find the volume of the solid generated be revolving the region bounded by the curves
y = x2 - 1 and y = x + 1, rotated about the line y = 5.