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
We see from the attached, that kite area = product of the diagonals / 2
The diagonals could be 12 by 8 or
6 by 16 or
3 by 32, etc
It cannot be narrowed down any further.
Answer: LAST OPTION.
Step-by-step explanation:
1. You have the following equation:
2. Then you must solve for x, as following:
Therefore, as you can see above, the answer for the exercise is the last option.
Answer:
dunno
Step-by-step explanation:
hope this helps has hdhd