Answer:
still need it?...........
Answer:
1/2
Step-by-step explanation:
The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that

Lets calculate the partial derivates of M and L, Mx and Ly. They can be computed by taking the derivate of the respective value, treating the other variable as a constant.
- Mx(x,y) = d/dx 8x²y = 16xy
- Ly(x,y) = d/dy 7y²x = 14xy
Thus, Mx(x,y) - Ly(x,y) = 2xy, and therefore, the line ntegral is equal to the double integral

We can compute the double integral by applying the Barrow's Rule, a primitive of 2xy under the variable x is x²y, thus the double integral can be computed as follows

We conclude that the line integral is 1/2
(40 * 25) + 0.10x = (40 * 20) + 0.20x
1000 + 0.10x = 800 + 0.20x
1000 - 800 = 0.20x - 0.10x
200 = 0.10x
200/0.10 = x
2000 = x <=== weekly sales must be $ 2000
Answer:
44
Step-by-step explanation:
Given:

Required:
Average range of change from 3 to 9
SOLUTION:
Step 1:
Find f(3) and f(9):
To find f(3), replace x with 3 in the given function




To find f(9), replace x with 9 in the given function




Average rate of change = 
Where,


Plug in the values into the formula for average rate of change.



Average rate of change = 44