• Nov 13th 2008, 02:57 AM
ch33zka
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
• Nov 13th 2008, 11:45 PM
CaptainBlack
Quote:

Originally Posted by ch33zka
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

Have you sketched these?

So you know that there is no closed area between the curves in (b)?

To find the limits of integration for (a) you have to solve:

$
e^{-x}=3-2x
$

or the equvalent for $y$ how are you expected to find these?

CB