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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 34E
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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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