Because I've gone ahead with trying to parameterize
directly and learned the hard way that the resulting integral is large and annoying to work with, I'll propose a less direct approach.
Rather than compute the surface integral over
straight away, let's close off the hemisphere with the disk
of radius 9 centered at the origin and coincident with the plane
. Then by the divergence theorem, since the region
is closed, we have

where
is the interior of
.
has divergence

so the flux over the closed region is

The total flux over the closed surface is equal to the flux over its component surfaces, so we have


Parameterize
by

with
and
. Take the normal vector to
to be

Then the flux of
across
is




Mixed numbers are a mix of a whole number and a fraction
a easy one is
1 and 1/4+1 and 3/4
1 and 1/2 +1 and 1/2
1 and 9/10 and 1 and 1/10
etc
Answer:
c
you subtract the exponents when dividing numbers with the same base
Answer:
2.1666666
Step-by-step explanation:
52÷24=2.1666666
The question is asking to choose among the following choices that states the temperature of the metal after five hours, and base on my research and further calculation, the possible answer among the following is 26 degree. I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarifications