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
Wel its kinda difficult to say but look on how much times 6 can fit into 7 which is 1 but that will be 6,so in order to become seven you need 1 which is our left over number,so in the end you will get 1 whole and 1/6 and you use the leftover number as your numerator and just leave the 6 as it was.Whoof that was long but its no nearly as long as i explain it.
Answer with Step-by-step explanation:
Zohar cut a rectangle with a length of 5x – 2
and a width of 3x + 1
We know that:
Perimeter of rectangle is:
Perimeter=2(length+width)
=2(5x-2+3x+1)
=2(8x-1)
=16x-2
Hence, expression which can be used to find the perimeter of the rectangle is:
16x-2
Now, when x=4
16x-2=16×4-2
=62
Hence, when x=4 ,Perimeter=62
First you need to change 45 feet to 540 inches.
Now you can compare the two ratios:
1 : 25 and 25 : 540
We now need to change the second ratio to a unit rate:
25:540 as a unit rate would be 1 : 21.6 and this is steeper than the a 1 : 25 drop
So, your answer would be: pipe drops to much vertically to function properly
Answer:
−y−81
Step-by-step explanation: