Let ????C be the positively oriented square with vertices (0,0)(0,0), (2,0)(2,0), (2,2)(2,2), (0,2)(0,2). Use Green's Theorem to
bonufazy [111]
Answer:
-48
Step-by-step explanation:
Lets call L(x,y) = 10y²x, M(x,y) = 4x²y. Green's Theorem stays that the line integral over C can be calculed by computing the double integral over the inner square of Mx - Ly. In other words
Where Mx and Ly are the partial derivates of M and L with respect to the x variable and the y variable respectively. In other words, Mx is obtained from M by derivating over the variable x treating y as constant, and Ly is obtaining derivating L over y by treateing x as constant. Hence,
- M(x,y) = 4x²y
- Mx(x,y) = 8xy
- L(x,y) = 10y²x
- Ly(x,y) = 20xy
- Mx - Ly = -12xy
Therefore, the line integral can be computed as follows
Using the linearity of the integral and Barrow's Theorem we have
As a result, the value of the double integral is -48-
The answer to -2y-10+2x=0 is 1
Answer:
1. *2/multiplied by 2, since each number gets higher by *2.
2. *3/multiplied by 3, since each number gets higher by *3
3. ÷2/divided by 2, since each number gets lower by ÷2.
The house is x
<span>make a proportion: </span>
<span>x/55=15/25 </span>
<span>cross multiply </span>
<span>25x=55*15 </span>
<span>25x=825 </span>
<span>divide </span>
<span>x=33</span>
Answer:
A
Step-by-step explanation:
The easiest way to figure this out is to substitute in the variables. So for a, 2=-5+7 is correct, and 7=0+7 is correct as well. If you were to look at the other answers, you would see that the equation would not match up. Hope this helps!
