Which do you think will be larger, the average value of f(x,y) = xy over the square 0≤x≤18, 0≤ y ≤ 18, or the average value of f over the quarter circle x² + y² ≤ 324 in the first quadrant? Calculate them to find out. What is the formula for the average value of f over R? = SSF αA R OA. Average value= = SS √F DA R OB. Average value= C. Average value= OD. Average value= -SS f dA R 1 area of R 1 area of R SS √f dA R What is the average value of f over the square? The average value is (Type an exact answer.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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What is the average value of f over the square & what is the average value of f over the quarter circle? Thank you & I will give thumbs up! 

Which do you think will be larger, the average value of f(x,y) = xy over the square 0≤x≤18, 0≤ y ≤18, or the average value of f over the quarter circle
x² + y² ≤ 324 in the first quadrant? Calculate them to find out.
What is the formula for the average value of f over R?
A. Average value
B. Average value
= S S f dA
R
=SS √f dA
R
C. Average value =
D. Average value =
1
area of R
1
area of R
SS f dA
R
SS √f dA
R
What is the average value of f over the square?
The average value is
(Type an exact answer.)
Transcribed Image Text:Which do you think will be larger, the average value of f(x,y) = xy over the square 0≤x≤18, 0≤ y ≤18, or the average value of f over the quarter circle x² + y² ≤ 324 in the first quadrant? Calculate them to find out. What is the formula for the average value of f over R? A. Average value B. Average value = S S f dA R =SS √f dA R C. Average value = D. Average value = 1 area of R 1 area of R SS f dA R SS √f dA R What is the average value of f over the square? The average value is (Type an exact answer.)
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