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The area of the rectangle, as a function of x and y is A LIce th e Subotitution princinle t e rowrite th e area

The area of the rectangle, as a function of x and y is A LIce th e Subotitution princinle t e rowrite th e area

Calculus: Early Transcendentals
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 area of the rectangle, as a function of x and y is A Use the substitution principle to rewrite the area as a function of x. (Hint: Similar Triangles) A = A(x) = To determine optimal values, we need to look at A'(x) = 0. Now, A'(x) Solving for x and, ultimately for y, yields inches inches
Transcribed Image Text:The area of the rectangle, as a function of x and y is A Use the substitution principle to rewrite the area as a function of x. (Hint: Similar Triangles) A = A(x) = To determine optimal values, we need to look at A'(x) = 0. Now, A'(x) Solving for x and, ultimately for y, yields inches inches
Consider a rectangle inscribed in a right triangle with sides A = 7 and B = 21. We want to determine the dimensions of the rectangle with largest area that can be inscribed inside the triangle. B y А The area of the rectangle, as a function of x and y is A Use the substitution principle to rewrite the area as a function of x. (Hint: Similar Triangles) A = A(x) :
Transcribed Image Text:Consider a rectangle inscribed in a right triangle with sides A = 7 and B = 21. We want to determine the dimensions of the rectangle with largest area that can be inscribed inside the triangle. B y А The area of the rectangle, as a function of x and y is A Use the substitution principle to rewrite the area as a function of x. (Hint: Similar Triangles) A = A(x) :
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