Solved: Sales Growth The annual sales of a new product are given by where is time in

Chapter 4, Problem 83

(choose chapter or problem)

Sales Growth The annual sales S of a new product are given by

\(S=\frac{5000 t^{2}}{8+t^{2}}, \quad 0 \leq t \leq 3\)

Where t is time in years.

(a) Complete the table. Then use it to estimate when the annual sales are increasing at the greatest rate.

(b) Use a graphing utility to graph the function S. Then use the graph to estimate when the annual sales are increasing at the greatest rate.

(c) Find the exact time when the annual sales are increasing at the greatest rate.

Text Transcription:

S=5000t^2/8+t^2, 0 leq t leq 3

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