Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Use the graphs of f(x) and g'(x) to answer the following 5 problems.
1.) Find the absolute extremes of f(x) on [0, 4]
2.) Where is f(x) concave up?
f(x)
g'(x)
3.) Where does f(x) have critical numbers?
to
4.) Where does g(x) have critical numbers?
5.) Where is g(r) decreasing?
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Transcribed Image Text:Use the graphs of f(x) and g'(x) to answer the following 5 problems. 1.) Find the absolute extremes of f(x) on [0, 4] 2.) Where is f(x) concave up? f(x) g'(x) 3.) Where does f(x) have critical numbers? to 4.) Where does g(x) have critical numbers? 5.) Where is g(r) decreasing?
Part 7 (10 points)
A major factory has costs each month given by the equation C(r) = x² – 4x + 5 where
C is in terms of millions of dollars and r is the number of part time workers they employ
in terms of 100. If the factory floor has room for at most 300 part time workers, how many
part time workers should they employ if they wish to minimize their monthly costs? Only
answers that utilize the tools of calculus will receive full credit.
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Transcribed Image Text:Part 7 (10 points) A major factory has costs each month given by the equation C(r) = x² – 4x + 5 where C is in terms of millions of dollars and r is the number of part time workers they employ in terms of 100. If the factory floor has room for at most 300 part time workers, how many part time workers should they employ if they wish to minimize their monthly costs? Only answers that utilize the tools of calculus will receive full credit.
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