Answer:
24.17
Step-by-step explanation:
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
Answer:
6,7
Step-by-step explanation:
Answer: 0.512, 0.020, 0.012, 0.002
Step-by-step explanation:
To put these decimals in the order from greatest to least, we first need to make sure they all have the same place values.
0.012, 0.002, 0.020, 0.512
Now that they have the same place values, we can see which is bigger.
0.512, 0.020, 0.012, 0.002