A store finds that its sales revenue changes at a rate given by S'(t) = -30t² + 380t dollars per day where t is the number of days after an advertising campaign ends and 0 < t < 30. (a) Find the total sales for the first week after the campaign ends (t = 0 to t = 7). $ (b) Find the total sales for the second week after the campaign ends (t = 7 to t = 14).

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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A store finds that its sales revenue changes at a rate given by
S'(t) = -30t² + 380t dollars per day
where t is the number of days after an advertising campaign ends and 0 < t < 30.
(a) Find the total sales for the first week after the campaign ends (t = 0 to t = 7).
$
(b) Find the total sales for the second week after the campaign ends (t = 7 to t = 14).
Transcribed Image Text:A store finds that its sales revenue changes at a rate given by S'(t) = -30t² + 380t dollars per day where t is the number of days after an advertising campaign ends and 0 < t < 30. (a) Find the total sales for the first week after the campaign ends (t = 0 to t = 7). $ (b) Find the total sales for the second week after the campaign ends (t = 7 to t = 14).
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