Guse the divergence theorem to evaluat where f = d xz + x 2 , −2xy, x2 + z 2 e and s is the hemisphere z = p 4 − x 2 − y 2 together with the portion of the xy-plane beneath that hemisphere, oriented outward.

I guess you're supposed to evaluate the integral,

where and is the hemisphere .

has divergence

By the divergence theorem,

where is the space with as its boundary.

Convert to spherical coordinates, taking

Then the integral is

There are total 10 juice boxes
P(grape) first pick:
2/10=1/5
P(grape) second pick:
1/9
As a result, the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape is 1/45. Hope it help!