Domain: [-4,4] (left-to-right or x-values used)
Range: [-4,4] (down-to-up or y-values used)
Function: no
Parameterize ![S{/tex] by[tex]\vec s(u,v)=u\,\vec\imath+v\,\vec\jmath+(8-u^2-v^2)\,\vec k](https://tex.z-dn.net/?f=S%7B%2Ftex%5D%20by%3C%2Fp%3E%3Cp%3E%5Btex%5D%5Cvec%20s%28u%2Cv%29%3Du%5C%2C%5Cvec%5Cimath%2Bv%5C%2C%5Cvec%5Cjmath%2B%288-u%5E2-v%5E2%29%5C%2C%5Cvec%20k)
with 
and 
.
Take the normal vector to 
to be
Then the flux of 
across is
Let's start by declaring our varibles.
x = number of lawns Mr. Brust mowed
y = total amount of money Mr. Brust made
Let's create our equation.
y = 15x + 55
For part b, we can plug 800 in for y.
800 = 15x + 55
Subtract 55 from both sides.
745 = 15x
Divide both sides by 15
50 = x. Note, I rounded the answer to the nearest integer.
For part c, we can plug 13 in for x.
y = 15(13) + 55
Simplify the right side of the equation.
y = 250
Answer:2
Step-by-step explanation:
The answer is 64 because they are alternate interior angles. Alternate interior angles are always congruent.
