Answer:
1/2x plus -2
Step-by-step explanation:
By the divergence theorem, the surface integral given by

(where the integral is computed over the entire boundary of the surface) is equivalent to the triple integral

where

is the volume of the region

bounded by

.
You have

![\implies \nabla\cdot\mathbf F=\dfrac{\partial}{\partial x}[x^2y]+\dfrac{\partial}{\partial y}[xy^2]+\dfrac{\partial}{\partial z}[4xyz]=8xy](https://tex.z-dn.net/?f=%5Cimplies%20%5Cnabla%5Ccdot%5Cmathbf%20F%3D%5Cdfrac%7B%5Cpartial%7D%7B%5Cpartial%20x%7D%5Bx%5E2y%5D%2B%5Cdfrac%7B%5Cpartial%7D%7B%5Cpartial%20y%7D%5Bxy%5E2%5D%2B%5Cdfrac%7B%5Cpartial%7D%7B%5Cpartial%20z%7D%5B4xyz%5D%3D8xy)
and so the integral reduces to
Answer:
? = 10
Step-by-step explanation:
Let " ? " be x.
5 / x = x / 20
x * x = 5 * 20
x² = 100
[ 100 = 10 x 10 = 10² ]
x² = 10²
x = 10
Answer:
36
Step-by-step explanation:
Given
x² + 12x
To make the polynomial a perfect square
add ( half the coefficient of the x- term)²
= x² + 12x + 6²
= x² + 12x + 36
= (x + 6)² ← a perfect square
Answer:
228
Step-by-step explanation: