258. A spherical balloon is filled with air at the rate of 2 cu cm/min. Compute the time rate of change of the surface are of the balloon at the instant when its volume is 32r/3 cu cm. a. 2 cu cm/min b. 3 cu cm/min c. 4 cu cm/min c. 5 cu cm/min

Calculus: Early Transcendentals
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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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258. A spherical balloon is filled with air at the rate of 2 cu cm/min. Compute the time
rate of change of the surface are of the balloon at the instant when its volume is 32/3 cu
cm.
a. 2 cu cm/min
b. 3 cu cm/min
c. 4 cu cm/min
c. 5 cu cm/min
259. The coordinate (x,y) in ft of a moving particle P are given by x=cos(t)-1 and
y=2sin(t)+1, where t is the time in seconds. At what extreme rates in fps is P moving
along the curve?
a. 2 and 1
b. 3 and 2
c. 2 and 0.5
d. 3 and 1
Transcribed Image Text:258. A spherical balloon is filled with air at the rate of 2 cu cm/min. Compute the time rate of change of the surface are of the balloon at the instant when its volume is 32/3 cu cm. a. 2 cu cm/min b. 3 cu cm/min c. 4 cu cm/min c. 5 cu cm/min 259. The coordinate (x,y) in ft of a moving particle P are given by x=cos(t)-1 and y=2sin(t)+1, where t is the time in seconds. At what extreme rates in fps is P moving along the curve? a. 2 and 1 b. 3 and 2 c. 2 and 0.5 d. 3 and 1
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