Draw and label the given curves:
1. Find the area bounded by the curves.
a. y = e^-x, y = 3 - 2x
b. y = x^3 - 3x^2 - 9x; y = x + 12
2. Find the volume generated by revolving the area bounded by the curves y = 3x^2 - 12 and x = y and 0y, about 0y
Draw and label the given curves:
1. Find the area bounded by the curves.
a. y = e^-x, y = 3 - 2x
b. y = x^3 - 3x^2 - 9x; y = x + 12
2. Find the volume generated by revolving the area bounded by the curves y = 3x^2 - 12 and x = y and 0y, about 0y