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

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Author:James Stewart
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Chapter1: Functions And Models
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How can I solve problem 24?
8
√₂
G
<O>
P Page 365
AA
X
64°F
Raining now
X
P Page 363
P 4.2: Antiderivatives as Are. X
https://plus.pearson.com/courses/triebold41691/products/144553/pages/387?locale=&platform id=
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
C(x) =
when x
36. R(x) =
C(x) =
when x
37. Change
number
5p -
If p and.
find the
38. Change of
find the r
x =
▶
39. Change in
per ounce
If 300 our
$4500 per
*
x =
Transcribed Image Text:8 √₂ G <O> P Page 365 AA X 64°F Raining now X P Page 363 P 4.2: Antiderivatives as Are. X https://plus.pearson.com/courses/triebold41691/products/144553/pages/387?locale=&platform id= 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 C(x) = when x 36. R(x) = C(x) = when x 37. Change number 5p - If p and. find the 38. Change of find the r x = ▶ 39. Change in per ounce If 300 our $4500 per * x =
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