The daily sales S (in thousands of dollars) that are attributed to an advertising campaign are given by 3 t + 2 17 (t + 2)² where t is the number of weeks the campaign runs. S = 4 + (a) Find the rate of change of sales at any time t. S' = (b) Use the second derivative to find how this rate is changing at t = 15. (c) Interpret your result in part (b). The-Select--- in sales (after 15 weeks) is the amount given in part (b).

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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The daily sales S (in thousands of dollars) that are attributed to an advertising campaign are given by
3
t + 2
17
(t+ 2)²
where t is the number of weeks the campaign runs.
S = 4 +
(a) Find the rate of change of sales at any time t.
S' =
(b) Use the second derivative to find how this rate is changing at t = 15.
(c) Interpret your result in part (b).
The-Select---
in sales (after 15 weeks) is the amount given in part (b).
Transcribed Image Text:The daily sales S (in thousands of dollars) that are attributed to an advertising campaign are given by 3 t + 2 17 (t+ 2)² where t is the number of weeks the campaign runs. S = 4 + (a) Find the rate of change of sales at any time t. S' = (b) Use the second derivative to find how this rate is changing at t = 15. (c) Interpret your result in part (b). The-Select--- in sales (after 15 weeks) is the amount given in part (b).
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