SOLVED: The function f(x,y) = ax by has an average value of 45 on the rectangle 0 < x < 2, 0 < y < 7.(a) What can you say about the constants a and b?(Give your answer as an equation that describes the values of a and b.)(b) Find two different choices for f that have an average value of 45 on the rectangle. Both answers must be correct to receive credit: f = f
SOLVED: The function f(x,y) = ax by has an average value of 45 on the …
Nov 26, 2021
numerade.com
The average value or mean value of a continuous function f(x, y) over a rectangle R=[a, b] ×[c, d] is defined as fave=(1)/(A(R)) ∬R f(x, y) d A where A(R)=(b-a)(d-c) is the area of the rectangle R (compare to Definition 5.8.1). Use this definition in these exercises. Find the average value of f(x, y)=y sinx y over the rectangle [0,1] ×[0, π/ 2] . | Numerade
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