Consider the closed region
bounded simultaneously by the paraboloid and plane, jointly denoted
. By the divergence theorem,
And since we have
the volume integral will be much easier to compute. Converting to cylindrical coordinates, we have
Then the integral over the paraboloid would be the difference of the integral over the total surface and the integral over the disk. Denoting the disk by
, we have
Parameterize
by
which would give a unit normal vector of
. However, the divergence theorem requires that the closed surface
be oriented with outward-pointing normal vectors, which means we should instead use
.
Now,
So, the flux over the paraboloid alone is
I believe it would be 4 1/10 ,4.104, 104/25, 4.74
26
3<span>⟌78
-6
-------
18
-18
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0
</span>
Answer:
x stays x in both equations so x stands for x
Step-by-step explanation:
y=3x+6
you can put this into a graphing caculator or draw it yourself.
6 is the y value when x equals 0. and the 3 represents the slope so then it is solved for any y value
Answer:
2x2x2x5
Step-by-step explanation:
2x2x2x5 equals 40