The function f(x,y)=ax+by has an average value of 50 on the rectangle 0<=x<=3, 0<=y<=4. a) What can you say about the constants a and b? Give an equation that describes the values of a and b b) Find two different choices for f that have an average value 50 on the rectangle.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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The function f(x,y)=ax+by has an average value of 50 on the rectangle 0<=x<=3, 0<=y<=4.

a) What can you say about the constants a and b? Give an equation that describes the values of a and b

b) Find two different choices for f that have an average value 50 on the rectangle. 

 

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