Solve 22. Write out each step. Explain what you are doing. 19. Given a²= b ² + c², where a ≥ 0, b≥ 0, and c≥0,13, b = 12, db/dt = 0.25, andfind da/dt when a =dc/dt = 2.20. Given a² = b² + c², where a ≥ 0, b≥ 0, and c ≥ 0,Heildning find dc/dt when b = 7, c = 24, db/dt = 3, andda/dt 0.84.MAXSUse geometry and implicit differentiation to find the unknownrate,121. A circle is shrinking, losing 15 cm² of area per minute.Find the rate at which the radius is changing at theovat moment when the radius is 7 cm.rybpiland22. A circle is growing, its radius increasing by 3 mm persecond. Find the rate at which the area is changing athd the moment when the radius is 25 mm.AbnaaMotionb2

Answered: Image /qna-images/answer/b8af5660-8e05-4e66-beb0-1f53065bab9c.jpg

Answered: 22. A circle is growing, its radius…

22. A circle is growing, its radius increasing by 3 mm per second. Find the rate at which the area is changing at hd the moment when the radius is 25 mm.

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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Question

Solve 22. Write out each step. Explain what you are doing.

19. Given a²
= b ² + 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,
Heildning find dc/dt when b = 7, c = 24, db/dt = 3, and
da/dt 0.84.
MAXS
Use geometry and implicit differentiation to find the unknown
rate,
1
21. A circle is shrinking, losing 15 cm² of area per minute.
Find the rate at which the radius is changing at the
ovat moment when the radius is 7 cm.
rybpiland
22. A circle is growing, its radius increasing by 3 mm per
second. Find the rate at which the area is changing at
hd the moment when the radius is 25 mm.
Ab
na
a
Motion
b
2

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