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
8/0.72 = 0.09
Per ounce cost $0.09
This gonna help you
Answer:
$3.90
Step-by-step explanation:
The total cost was $24.40.
We know the cost for beads for each necklace is also $2.20, multiply this by four to find the cost of the beads for all the necklaces.
$2.20 × 4 = $8.80
Now we will subtract this from the total price.
$24.40 - $8.80 = $15.60
$15.60 Is the remaining cost for the pendants of all four necklaces. We will now divide this by four to find the price of a single pendant.
$15.60 ÷ 4 = $3.90
<u>This means the cost of each pendant is $3.90</u>