The answer to your question is “D”
Btw you can use DESMOS for future questions like this
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:
We do not know
Step-by-step explanation:
There is no time when the doctor starts from home, so it is technically impossible to solve.
Answer:
is proportional
Step-by-step explanation:
The ratio between words and minutes is a constant, so the relationship is proportional.
45/1 = 90/2 = 135/3
Answer:
= 3.75
Step-by-step explanation:
The n th term of a geometric sequence is
= a₁
where a₁ is the first term and r the common ratio
Here a₁ = 30 and r =
, thus
= 30
= 30 ×
=
=
= 3.75