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




Answer:
B. City P is above sea level and City R is below sea level
Step-by-step explanation:
A. City R is negative meaning it is below sea level however City Q is 0 meaning it is at sea level, so this statement is false.
C. Once again, City P is positive meaning it is above sea level but City Q is 0 meaning it is at sea level, so this statement is false.
D. Like before, City P is above sea level and City Q is at sea level not below, so this is, once again, false.
Answer:
First blank is >=
Second blank is <=
Step-by-step explanation:
At least means the sign is greater than or equal to
No more than means the sign is less than or equal to
Answer:
he travels 249 miles on saturday
Step-by-step explanation:
<u> 62.25 </u> <u> x</u>
1 = 4
you must multiple the distance travled in one hour by the number of hours of driving. In this case 4. This is if he did not change speeds ;)
4 x 62.25 = 249 miles
Hope this helps :) Please mark brainliest if you see fit :)