16.4

7.
T=(2u+v)i+(u-4v)j+(3u)k
Tu=2i+1j+3k Tv=1i-4j+0k
2  1 3
1 -4 0
=12-3+(-8-1)=12-3-7
G(1,4)=6,-15,3
12(x-6)-3(y--15)-7(z-3)
12x-72-3y-45-7z+21

13.
f=z(x^2+y^2)
G=ucosv+usinv+u 0<u<1 0<v<1
Gu=cosv   +sinv  +1 
Gv=-usinv +ucosv +0
=ucosv-(-usinv)+(ucosv^2+usinv^2)
=ucosv+usinv+u
=sqrt(2)/5

15.
z=sqrt(9-y) 0<x<3 0<z<3 f=z 0<y<9-z^2
diff(z,y)
int(int(z*,z=0..3),x=0..3)
37*sqrt(37)-1/4=56.02

19.
x^2+y^2=4 0<z<4 f=e^-z
=4pi(1-e^-4)


16.5

5.
F=y,z,x 3x-4y+z=1 0<x<1 0<y<1
z=1-3x+4y
int(int(-y*-3-z*4+x,x=0..1),y=0..1)
=-4

7. 
F=0,3,x x^2+y^2+z^2=9 x>0 y>0 z>0
=27/12*(3pi+4)


9.
F=z,z,x z=9-x^2-y^2 x>0 y>0 z>0
int(int(-z*-2*x-z*-2*y+x,x=))
=693/5

11.
F=xz,yz,z^-1 disk r=3 h=4 
=11/12