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:
This is not a right triangle because the hypotenuse is less than the two sides and aren't equal when following the Pythagorean thm
Step-by-step explanation:
To confirm if a triangle is a right triangle, we must use the Pythagorean thm
a^2 + b^2 = c^2
23^2 + 11.4^2 = 21.2^2
529 + 129.96 = 449.44
658.96 ≠ 449.44
Answer:
14
Step-by-step explanation:
Multiply the exponents together
Answer:
6
Step-by-step explanation:
Remember the last question? to find circumference you have to multiply the diameter by 3.14? well same here except you divide the circumference by 3.14 to get the diameter. so divide 18.84 ÷ 3.14 = 6
~R3V0

(pi times d)
Answer:
$7.27
Step-by-step explanation:
3.18 + 1.25 + 2.84 = 7.27