The function f(x, y) = ax + by has an average value of 45 on the rectangle 0 < x< 5,0 < y < 6. (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 average value 45 on the rectangle. f , or %3D f =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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The function f(x, y) = ax + by has an average value of 45 on the rectangle 0 < x < 5,0 < y < 6.
(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 average value 45 on the rectangle. f =
, or
f =
Transcribed Image Text:The function f(x, y) = ax + by has an average value of 45 on the rectangle 0 < x < 5,0 < y < 6. (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 average value 45 on the rectangle. f = , or f =
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