Suppose we were asked the question: "A rectangle is to be inscribed in a circle of radius 5cm. What is the width of the largest (biggest area) such rectangle?"

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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Suppose we were asked the question:
"A rectangle is to be inscribed in a circle of
radius 5cm. What is the width of the largest
(biggest area) such rectangle?"
Let
A(w)
denote the corresponding area function in
terms of the width of the rectangle. At which
type of point will the answer occur?
Transcribed Image Text:Suppose we were asked the question: "A rectangle is to be inscribed in a circle of radius 5cm. What is the width of the largest (biggest area) such rectangle?" Let A(w) denote the corresponding area function in terms of the width of the rectangle. At which type of point will the answer occur?
At an endpoint of the domain interval.
O At a point
w
where
A'(w)
does not exist.
O At a point
where
A' (w)=0
O At a point
where
A(w)=0
O Not enough information is given.
ミ
Transcribed Image Text:At an endpoint of the domain interval. O At a point w where A'(w) does not exist. O At a point where A' (w)=0 O At a point where A(w)=0 O Not enough information is given. ミ
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