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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. OA. Average value=JJ f dA R = SS √f dA R B. Average value= C. Average value= OD. Average value = 1 -SS₁ R area of R The average value is (Type an exact answer.) R area of R 1 f dA -SS. R √f dA alue of f over the square? What is the average The average value is 81. (Type an exact answer.) What is the average value of f over the quarter circle?

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. OA. Average value=JJ f dA R = SS √f dA R B. Average value= C. Average value= OD. Average value = 1 -SS₁ R area of R The average value is (Type an exact answer.) R area of R 1 f dA -SS. R √f dA alue of f over the square? What is the average The average value is 81. (Type an exact answer.) What is the average value of f over the quarter circle?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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. O A. Average value = :JJ f R C. Average value B. Average value = -SS √f dA R D. Average value = f dA The average value is (Type an exact answer.) 1 area of R 1 area of R -SS f dA R -SS R √f dA What is the average value of f over the square? The average value is 81. (Type an exact answer.) What is the average value of f over the quarter circle?
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. O A. Average value = :JJ f R C. Average value B. Average value = -SS √f dA R D. Average value = f dA The average value is (Type an exact answer.) 1 area of R 1 area of R -SS f dA R -SS R √f dA What is the average value of f over the square? The average value is 81. (Type an exact answer.) What is the average value of f over the quarter circle?
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