Answer:
it is 25 percent
Step-by-step explanation:
Since this is the formula for the infinite geometric series with
a1 = 42
r = 3/4
Solution will be
sum = 42 / 1-3/4
sum = 42 / 0.25
sum = 168
Therefore, the total is 168
Answer:
x < 21
Step-by-step explanation:
x - 5 < 16
x < 21 Add 5 to both sides
Answer:
In zone A and zone E.
Step-by-step explanation:
See the attached graph to this question.
The graph clearly shows that the function is increasing in the portion which is denoted by A and E.
In the A zone, the graph moves from minima towards local maxima and in the E zone, the graph moves from a local minima towards maxima.
In both the zones, the value of f(x) increases as the value of x increases. Therefore, the function is increasing in A and E zone. (Answer)
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-