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:Yes
Step-by-step explanation:
So thats say each soccer ball weigh 450 grams and a kilogram is 1000 grams so we will do 450 times 3 which is 1350 and 1350 is more than 1000 grams which more than a killogram so the answer is yes and its by 350 more.
Answer:
Step-by-step explanation:
Let number of large pizzas be l and number of small be s.
<u>Then we have equations:</u>
- l + s = 100
- 16l + 11s = 1550
<u>From the first equation, we get l = 100 - s and substitute in the second equation:</u>
- 16(100 - s) + 11s = 1550
- 1600 - 16s + 11s = 1550
- 5s = 1600 - 1550
- 5s = 50
- s = 10
Number of small pizzas is 10
Answer:
0.875
Step-by-step explanation:
9.85-8.975 equala 0.875
Answer:
Shakerville 21° warmer
Step-by-step explanation:
-27 + -6 = 21