Evaluate the Iterated Integrals

11.1 & 11.2

The contour map shows the snowfall, in inches, that fell on the state of Colorado on December 24, 1982. The state is in the shape of a rectangle 388 mi west to east and 276 mi south to north. Use the contour map to estimate the average snowfall for Colorado as a whole on December 24.

If R is the rectangle that represent Colorado, then the average snowfall for the state on December 24 was

where A(R) = 388 × 276.

Evaluate the iterated integrals

1. 2.

3. Compute the double integral over the indicated rectangle.

4. Compute the double integral over the indicated rectangle.

5 Compute the double integral over the indicated rectangle.

6. Find the volume of the solid S that is bounded by the elliptic paraboloid , the planes x=2 and y=2 and the three coordinate planes.

p

7. when R=