of air per minute. Find the rate at which the radius is changing at the moment when the radius is 25 cm. 24. A spherical balloon is expanding, gaining 125 cm³ of air per minute. Find the rate at which the radius is chang- ing at the moment when the radius is 60 cm. 25 Aphorical ball
of air per minute. Find the rate at which the radius is changing at the moment when the radius is 25 cm. 24. A spherical balloon is expanding, gaining 125 cm³ of air per minute. Find the rate at which the radius is chang- ing at the moment when the radius is 60 cm. 25 Aphorical ball
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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How can I solve problem 24?

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Chapter 3: Applications of Differentia
23. A spherical balloon is decreasing in size, using ou em
of air per minute. Find the rate at which the radius is
changing at the moment when the radius is 25 cm.
24. A spherical balloon is expanding, gaining 125 cm³ of air
per minute. Find the rate at which the radius is chang-
ing at the moment when the radius is 60 cm
25. A spherical balloon is expanding, its radius increasing
by 0.5 cm per minute. Find the rate at which its sur-
face area is changing at the moment when the radius is
40 cm. (Hint: The surface area of a sphere is given by
A = 4πr².)
26. A spherical balloon is shrinking, its radius changing by
-5 cm per minute. Find the rate at which its surface area
is changing at the moment when the radius is 22 cm.
27. A large ice cube is melting, each side shrinking by
0.8 cm per minute. Find the rate at which the volume
is changing at the moment when the length of an edge
is 20 cm. Assume that the cube maintains its shape.
28. A large ice cube is melting, each side shrinking by 2 in.
per minute. Find the rate at which the volume is chang-
ing at the moment when the length of an edge is 15 in.
Assume that the cube maintains its shape.
P Pearson+
29. A large ice cube is melting, each side shrinking by 3 cm
ner minute Find the rate at which the surface area ic
365
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