Answer:
B and C
Step-by-step explanation:
(-7)•8z = -56z
(-4)•(-7)=28
and
40•(-1.4)= -56z
40•0.7= 28
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
Answer:
Step-by-step explanation:
{2 + 2w = l
{94 = 2w + 2l
94 = 2w + 2[2 + 2w]
94 = 2w + 4 + 4w
94 = 4 + 6w
- 4 - 4
_________
[Plug this back into both equations above to get the length of 32 feet];
I am joyous to assist you anytime.
28x - 2 = 26x + 6
2x = 8
x = 4