Answer:
yo have to think very hard about 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
Answer:
$803.25
Step-by-step explanation:
Given data
Dimension for the room
Length= 21 ft
Width= 17ft
Area= L*W
Area= 21*17
Area= 357 ft^2
Lucy will need to get 357ft^2 of carpet
We are given that a square ft cost $2.25
Hence to carpet the room the cost will be $2.25*357= $803.25
Answer:
1000=450 (1+ 0.06) y
4
Step-by-step explanation:
In the paranthesis where it says 0.06 and then 4 at the bottom its supposed to be a fraction btw
Joel = j, Mark = m, Sandra = s
j + m + s = 120
m = 3j
j = 1/2 s --> s = 2j
plug in (substitute) each letter to make it in terms of only j: j + m + s = 120
j + 3j + 2j = 120
6j = 120
6j/6 = 120/6
j = 20
now plug in for the j & s equation:
s = 2j = 2(20) = 40
Therefore Sandra has 40 coins!