Week in Review week 12 answers

1.

2. a) arctan x + 3π/4 b) sin x + tan x -1 c) d)

e) -cos x +4x +3

3. max height is about 3388 m, the time it hits ground is t=51.808 sec and the speed with which it hits the ground is about 503.9 m/sec

4. 67. 2222 feet

5. about 77.14 mph

6. Use the intermediate value thm and the mean value thm.

7. a) 480 b) 15855 c) 14895 d) 1.99997 e) 1.49997

8. The right sum is 15, the left sum is 15/2 and the average is 45/4

9. 8.33625

10. The right sum is 205/24, the left sum is 163/24, and the limit is 7.5

11. a) 15/2 b) -15/2 c) 8π d) 1/3

12. 5/6

13. a) 23/2 b) 8