Summary: Math 213-001 201130
Assignment # 10 - Sample answers
1. Evaluate the surface integral
(a)
S
y dS, where S is the surface z = 2
3
(x3/2
+ y3/2
), 0 x 1,
0 y 1.
Answer. Our surface is given by
r(x, y) = xi + y +
2
3
(x3/2
+ y3/2
) k,
and then
rx(x, y) = i +