4) A rectangle in the first quadrant has can be made with its lower left vertex at the origin, one side along the x-axis, one side along the y-axis, and upper right vertex on the graph of y = 27 – x3. Denote the upper right vertex of the rectangle as (x, y), with x and y measured in meters. 30 (x, y) 25 20 y = 27 – x3 15 10 1 2 3 a) Find a formula for P(x) the perimeter of the rectangle with right side at location x (as a function of x). P(x) = b) What is the interval of interest for P(x)? Explain. x in

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
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4a.  4b. 

4) A rectangle in the first quadrant has can be made with its lower left vertex at the origin, one side along the x-axis, one side
along the y-axis, and upper right vertex on the graph of y = 27 – x3. Denote the upper right vertex of the rectangle as (x, y),
with x and y measured in meters.
30
(x, y)
20
y = 27 – x3
15
10
1
2
3
a)
Find a formula for P(x) the perimeter of the rectangle with right side at location x (as a function of x).
P(x)
b)
What is the interval of interest for P(x)? Explain.
x in
25
Transcribed Image Text:4) A rectangle in the first quadrant has can be made with its lower left vertex at the origin, one side along the x-axis, one side along the y-axis, and upper right vertex on the graph of y = 27 – x3. Denote the upper right vertex of the rectangle as (x, y), with x and y measured in meters. 30 (x, y) 20 y = 27 – x3 15 10 1 2 3 a) Find a formula for P(x) the perimeter of the rectangle with right side at location x (as a function of x). P(x) b) What is the interval of interest for P(x)? Explain. x in 25
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