Use geometry and implicit differentiation to find the unknown rate. 21. A circle is shrinking, losing 15 cm² of area per minute. Find the rate at which the radius is changing at the moment when the radius is 7 cm. 22. A circle ic

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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How can I solve problem 21?
M
19. Given a² = b² + c², where a ≥ 0, b ≥ 0, and c ≥ 0,
13, b = 12, db/dt = 0.25, and
find da/dt when a
dc/dt
= 2.
20. Given a² = b² + c², where a ≥ 0, b ≥ 0, and c ≥ 0,
find dc/dt when b = 7, c = 24, db/dt = 3, and
da/dt = 0.84.
364
Use geometry and implicit differentiation to find the unknown
rate.
=
21. A circle is shrinking, losing 15 cm² of area per minute.
Find the rate at which the radius is changing at the
moment when the radius is 7 cm.
22. A circle is growing, its radius increasing by 3 mm per
second. Find the rate at which the area is changing at
the moment when the radius is 25 mm.
□
12
$0
Transcribed Image Text:M 19. Given a² = b² + c², where a ≥ 0, b ≥ 0, and c ≥ 0, 13, b = 12, db/dt = 0.25, and find da/dt when a dc/dt = 2. 20. Given a² = b² + c², where a ≥ 0, b ≥ 0, and c ≥ 0, find dc/dt when b = 7, c = 24, db/dt = 3, and da/dt = 0.84. 364 Use geometry and implicit differentiation to find the unknown rate. = 21. A circle is shrinking, losing 15 cm² of area per minute. Find the rate at which the radius is changing at the moment when the radius is 7 cm. 22. A circle is growing, its radius increasing by 3 mm per second. Find the rate at which the area is changing at the moment when the radius is 25 mm. □ 12 $0
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