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:
11
Step-by-step explanation:
it says 11
Answer:
Radius is <u>2.8</u> Circumference is <u>17.584 or 17.6 Rounded to the nearest Tenths </u>
Step-by-step explanation:
1. Find circumference with the Formula <u>C=πd</u>
C=3.14 x 5.6
<u><em>C=17.584 or 17.6 Rounded to the nearest Tenths </em></u>
2. Radius is Always half of the Diameter.
5.6/2 = 2.8
<em><u>2.8 is your radius.</u></em>
3. If you want to check you work try the formula C=2πr to see if things checks out.
C=2 x 3.14 x 2.8
<u><em>C= 17.584 or 17.6 Rounded to the nearest Tenths </em></u>
<u><em /></u>
<u><em>Hope this Helps!</em></u>
Answer:

Step-by-step explanation:
Given
--- selected customers
--- those that are expected to use the restroom
--- proportion that uses the restroom
Required

The question illustrates binomial probability and the formula is:

So, we have:




To find the volume of the computer, we just have to multiply each coordinate.

<h2>Hence, the volume is 32.4 cubic inches.</h2>