Answer:
{}U{
}
Step-by-step explanation:
Given the inequality you need to set up two posibilities:
FIRST POSIBILITY :
SECOND POSIBILTY:
Therefore, you got that:
Knowing this, you can write the solution obtained in Set notation. This is:
Solution: {}U{
}
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,
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-