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Find the average value of f(x,y)=sin(x+y) over a. the rectangle 0 ≤x≤5x/6,0 ≤y ≤7x18 b. the rectangle 0≤x≤x/2, 0 sy $5x/4 a. The average value of f is. (Type an exact answer, using as needed.) b. The average value of fis (Type an exact answer, using x as needed.)

Find the average value of f(x,y)=sin(x+y) over a. the rectangle 0 ≤x≤5x/6,0 ≤y ≤7x18 b. the rectangle 0≤x≤x/2, 0 sy $5x/4 a. The average value of f is. (Type an exact answer, using as needed.) b. The average value of fis (Type an exact answer, using x as needed.)

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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Find the average value of f(x,y) = sin(x + y) over a. the rectangle 0≤x≤5x/6,0 ≤y $7x18 b. the rectangle 0≤x≤x/2, 0≤y ≤5x/4 a. The average value of fis (Type an exact answer, using as needed.) b. The average value of f is (Type an exact answer, using as needed.)
Transcribed Image Text:Find the average value of f(x,y) = sin(x + y) over a. the rectangle 0≤x≤5x/6,0 ≤y $7x18 b. the rectangle 0≤x≤x/2, 0≤y ≤5x/4 a. The average value of fis (Type an exact answer, using as needed.) b. The average value of f is (Type an exact answer, using as needed.)
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