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:
37,371 multiplied by 206 is 7,698,426
Step-by-step explanation:
Calculator.
<u><em>Answer:</em></u>44 pounds = 20 kg
<u><em>Explanation:</em></u><u>We are given that:</u>
1 kg = 2.2 pounds
To convert 44 pounds into kg, all we have to do is <u>cross multiplication</u> as follows:
1 kg .................> 2.2 pounds
?? kg .................> 44 pounds
<u>Now, we solve as follows:</u>
4 kg =
pounds
Hope this helps :)
Answer: 0.82
Step-by-step explanation:
We know that :
For any event A , the probability of not getting A is given by :-
P(not A)= 1- P(A)
Given : The probability that a student chosen at random from your class is a psychology major is P( psychology major) =0.18.
Then, the probability that a student chosen at random from your class is not a psychology major will be :
P(not psychology major)= 1 - P(psychology major)
= 1-0.18=0.82
Hence, the probability that a student chosen at random from your class is not a psychology major= 0.82
