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-
Answer:
C
Step-by-step explanation:
| x | > 10
Has solutions that go infinitely high to the right and infinitely low to the left on the number line.
That is x > 10 or x < - 10
This is indicated on Graph C
Table of the graph:
x: <em>
</em>
1 2 3
y: 5 25 125
Average Rate of Change =
Section A = 25-5/2-1 =20/1 =20
Section B = 125 - 25/ 3-2 = 100/1 = 100
So, Section B is 5 times greater than A.
Section B is greater because the slope of two points is greater than points in Section A.
The ordered pair for Y is (-4,-2)
Step-by-step explanation:
Given
X(-2,3)
Z(-6,-7)
As Y is the mid-point of XZ, it will divide Xz in two equal segments. Y is the mid-point of the segment.
Let (x_Y, y_Y) be the coordinates of the mid-point
Then
Putting the values
Hence,
The ordered pair for Y is (-4,-2)
Keywords: Coordinate geometry, Mid-point
Learn more about coordinate geometry at:
#LearnwithBrainly
Answer:
C.
Step-by-step explanation:
