The price of a raincoat at a sporting goods store is given by p = f(t) dollars, where t is the number of months after the beginning of January. A graph of f is shown in the figure to the right. (a) Estimate f(0) and give a complete sentence interpretation of your answer in the context of this problem, including units. (b) Estimate the average rate of change of f on the interval [0, 4], and interpret your answer in the context of this problem. (c) Estimate f'(0) and give a complete sentence interpretation of your answer in the context of this problem, including units. -1 50 40 30 20 10 2 3 4

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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5. The price of a raincoat at a sporting goods store is given by p = f(t)
dollars, where t is the number of months after the beginning of January.
A graph of f is shown in the figure to the right.
(a) Estimate f(0) and give a complete sentence interpretation of your
answer in the context of this problem, including units.
(b) Estimate the average rate of change of f on the interval [0, 4], and
interpret your answer in the context of this problem.
(c) Estimate f'(0) and give a complete sentence interpretation of your
answer in the context of this problem, including units.
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Transcribed Image Text:5. The price of a raincoat at a sporting goods store is given by p = f(t) dollars, where t is the number of months after the beginning of January. A graph of f is shown in the figure to the right. (a) Estimate f(0) and give a complete sentence interpretation of your answer in the context of this problem, including units. (b) Estimate the average rate of change of f on the interval [0, 4], and interpret your answer in the context of this problem. (c) Estimate f'(0) and give a complete sentence interpretation of your answer in the context of this problem, including units. - 1 60 50 40 30 20 10 1 2 3 4
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