An isosceles triangle is inscribed in a semicircle, as shown in the diagram, and it continues to be inscribed as the semicircle changes size. The area of the semicircle is increasing at the rate of 1 cm/sec when the radius of the semicircle is 6 {M}.

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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Free-Response Question
A calculator may be used for this question.
An isosceles triangle is inscribed in a semicircle,
as shown in the diagram, and it continues to be
inscribed as the semicircle changes size. The
area of the semicircle is increasing at the rate of
1 cm/sec when the radius of the servicircle is 6
€
How fast is the radius of the semicircle
increasing when the radius is 5 cm? Include
units in your answer. Round your answer to 3
decimal places.
Use: cm, cm/sec, cm2/sec (cm squared per
second), or cm3/sec notation for units.
Q
No
Po
Transcribed Image Text:Free-Response Question A calculator may be used for this question. An isosceles triangle is inscribed in a semicircle, as shown in the diagram, and it continues to be inscribed as the semicircle changes size. The area of the semicircle is increasing at the rate of 1 cm/sec when the radius of the servicircle is 6 € How fast is the radius of the semicircle increasing when the radius is 5 cm? Include units in your answer. Round your answer to 3 decimal places. Use: cm, cm/sec, cm2/sec (cm squared per second), or cm3/sec notation for units. Q No Po
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