Let

be an arbitrary closed region with boundary the surface

. By the divergence theorem,

We have

so that the flux satisfies

We're assuming

is a closed region, and the integral above is its volume, which must be positive. This means we must have

.
Answer:
13
Step-by-step explanation:
g.f=(5)(-1)+(3)(6)=-5+18=13
so inner product=13
it is not zero .Hence they are not perpendicular.
Answer:
see image
Step-by-step explanation:
Answer:(0,-4) , (0,0)
Step-by-step explanation:
It,s where the line intercepts on the graph on the x and y axis
Answer:
The method of matrixes that would be used for this question is Gaussian Elimination.
Step-by-step explanation:
Gaussian Elimination is a method of solving linear equations by transforming them into upper triangular form. In this case, we want to solve for the original amount of money placed in each account, which can be represented by variables x, y, and z. We can set up the equations as follows:
4x + 5.5y + 6z = 1,300
x + y + z = 24,500
4x = y
We can then use Gaussian Elimination to solve for x, y, and z.