(Solved): 8. Use spherical coordinates to evaluate MS (4 x? - - *? - y) av E where E is the portion of ...

8. Use spherical coordinates to evaluate MS (4 – x? - - *? - y²) av E where E is the portion of the ball x2 + y2 + z2 = 9 that lies in the first octant. (9 pts) a) Sketch the region of integration, E. (This may be done by hand or with the use of technology.) b) Evaluate the integral. (You may use your graphing calculator to evaluate the final integral. If you do this, round your answer to 4 decimal places as needed. 1 Point Extra Credit: Complete the integral by hand to find the exact answer.)