Match the integrals with the type of coordinates which make them the easiest to do. put the letter of the coordinate system to the left of the number of the integral.

1. z2 dv where e is: ? 2? z? 2, 1? x2+y2? 2

2. ? ? d 1x2+y2 da where d is: x2+y2? 4

3. dv where e is: x2+y2+z2? 4, x? 0, y? 0, z? 0

4. z dv where e is: 1? x? 2, 3? y? 4, 5? z? 6

5. ? 10? y20 1x dx dy

a. spherical coordinates

b. cylindrical coordinates

c. polar coordinates

d. cartesian coordinates