Review Sheet 3 Answers (abridged)

1) See the back of the book for these answers

2) (integral from 0 to 3) (integral from 0 to 3y/2) (integral from 0
   to (18 - 6x - 14x)/9) f(x,y,z) dz dx dy

3) 2

4) 1/364

5) 1/18

6) a) (3*pi*a*sin(alpha))/(16*alpha)
   b) a

7) Directly verify these, no 'answers' here

8) -14/15

9) 5/2

10) pi*sqrt(2) (Note: this was harder than I intended due to an
    algebra mistake by me when I assigned it...To parametrize the
    curve you need to know how to do a general change of variables)

11) 1) yes
    2) yes
    3) yes
    4) yes, but only on the domain y > 0

12) -3*sqrt(2) / 5

13) -2

14) 20/3

15) 3^(5/2) - 2^(7/2) + 1

16) pi((1/3)5^6 - 9*5^4 - 25*3^4 + 3^5)

17) 0