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You are asked to express one variable as a function of another. Be sure to state a domain for the function that reflects the constraints of the problem. In Example 1 we considered a rectangle with perimeter 100 cm. We found that the area of such a rectangle is given by A(x) = 50x – x², where x is the width of the rectangle. Compute the numbers A(2), A(11), A(20), A(25), and A(32). A(2) = A(11) = A(20) = | A(25) = A(32) = | Which width x seems to yield the largest area A(x)?

You are asked to express one variable as a function of another. Be sure to state a domain for the function that reflects the constraints of the problem. In Example 1 we considered a rectangle with perimeter 100 cm. We found that the area of such a rectangle is given by A(x) = 50x – x², where x is the width of the rectangle. Compute the numbers A(2), A(11), A(20), A(25), and A(32). A(2) = A(11) = A(20) = | A(25) = A(32) = | Which width x seems to yield the largest area A(x)?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...
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You are asked to express one variable as a function of another. Be sure to state a domain for the function that reflects the constraints of the problem. x², where x is the width of the rectangle. Compute the numbers In Example 1 we considered a rectangle with perimeter 100 cm. We found that the area of such a rectangle is given by A(x) = 50x А(2), A(11), А(20), A(25), and A(32). A(2) A(11) = A(20) = A(25) = A(32) = Which width x seems to yield the largest area A(x)? X =
Transcribed Image Text:You are asked to express one variable as a function of another. Be sure to state a domain for the function that reflects the constraints of the problem. x², where x is the width of the rectangle. Compute the numbers In Example 1 we considered a rectangle with perimeter 100 cm. We found that the area of such a rectangle is given by A(x) = 50x А(2), A(11), А(20), A(25), and A(32). A(2) A(11) = A(20) = A(25) = A(32) = Which width x seems to yield the largest area A(x)? X =
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