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-
Apply the law of cosines. and solve for A

A = 79.04239272, or 79
Answer:
1- d
2- a
3- d
4- b
Step-by-step explanation:
Set up two equations:
Greg = 330 + 75X
Heather = 660 + 45x
Set them to equal and solve for x:
330 + 75x = 660 + 45x
Subtract 330 from both sides:
75x = 330 + 45x
Subtract 45x from both sides:
30x = 330
Divide both sides by 30:
x = 330 / 30
X = 11
11 months they will have the same amount saved.