Enroll in one of our FREE online STEM bootcamps. Join today and start acing your classes!View Bootcamps

Georgia Southern University

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58
Problem 59
Problem 60
Problem 61
Problem 62
Problem 63
Problem 64
Problem 65
Problem 66
Problem 67
Problem 68
Problem 69
Problem 70
Problem 71

Problem 62

$f(x, y)=x^{2}+y^{2} ; \quad 0 \leq x \leq 2,0 \leq y \leq 3$

Answer

13$/ 3$

You must be logged in to bookmark a video.

...and 800,000 more!

## Discussion

## Video Transcript

Okay, so you find the average value of this function choose X squared plus y squared on this rectangle zero to cross Syria three. And so the average value of dysfunction on this rectangle what we want. Teo waits with the area which will just be the area of a rectangle, that area that we're, ah, integrating the function over. And then we would just wantto multiply that by the actual and everyone. Dean, why the x o gets a first of all, let's just note that what is the area of this rectangle? Well, it has based two in height three. So that ships two times three two six said this is one sixth. And now let's take anti derivative with respect to why first. So that's going to be X squared. Why? Plus one third why, kid evaluated terms here. Two, three. Okay, so that's one sixth cleared to X. This is this going to be three x squared and then plus well, we're just gonna keep twenty seven to about three, seven nine. Okay, now, just an X and a derivative someone Sixth, this is just going to be x cubed plus nine x five age from zero to two. Okay. So justly applying into she we have eight plus eighteen, which is twenty six, So it looks like we get twenty six over six.