y = N(t) P + →t (hr) 1 2 3 4 In the following graph, N(t) gives the number of smartphones assembled by the average worker by the t th hour, where t= 0 corresponds to 8 a.m. and 0

Calculus: Early Transcendentals
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Author:James Stewart
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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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Problem 1.
y
y = N(t)
%3D
P
|
+
+
+
→t (hr)
1
2
3
4
In the following graph, N(t) gives the number of smartphones assembled by the average worker by the t th hour,
where t = 0 corresponds to 8 a.m. and 0<t<4. The point P is an inflection point.
a. What can you say about the rate of change of the rate of the number of smartphones assembled by the
average worker between 8 a.m. and 10 a.m.? Between 10 a.m. and 12 noon? What does it mean for each of
the answers for 8am-10am and 10am-12noon?
b. At what time is the rate at which the smartphones are being assembled by the average worker the greatest?
Explain – how do you know it is the greatest and how would management interpret the greatest?
Transcribed Image Text:Problem 1. y y = N(t) %3D P | + + + →t (hr) 1 2 3 4 In the following graph, N(t) gives the number of smartphones assembled by the average worker by the t th hour, where t = 0 corresponds to 8 a.m. and 0<t<4. The point P is an inflection point. a. What can you say about the rate of change of the rate of the number of smartphones assembled by the average worker between 8 a.m. and 10 a.m.? Between 10 a.m. and 12 noon? What does it mean for each of the answers for 8am-10am and 10am-12noon? b. At what time is the rate at which the smartphones are being assembled by the average worker the greatest? Explain – how do you know it is the greatest and how would management interpret the greatest?
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