During a month-long advertising campaign, the total sales S of a magazine is modeled by the function S(x) = 2x2 + 48x + 11,000, where x represents the number of days since the campaign began, 0 s x s 30. (a) What is the average rate of change of sales from x = 10 to x = 20 days? AS sales/day %3D Ax (b) What is the instantaneous rate of change S'(6) of sales when x = 6 days? S'(6) = sales/day

University Physics Volume 1
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Chapter1: Units And Measurement
Section: Chapter Questions
Problem 52P: Consider the physical quantities m,s,v,a, and t with dimensions [m]=M,[s]=L,[v]=LT1 and [a]=LT2 ....
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During a month-long advertising campaign, the total sales S of a magazine is modeled by the function S(x) = 2x2 + 48x + 11,000, where x represents the number of days since the
campaign began, 0 < x < 30.
(a) What is the average rate of change of sales from x = 10 to x = 20 days?
AS
sales/day
Ax
(b) What is the instantaneous rate of change S'(6) of sales when x = 6 days?
S'(6) =
sales/day
Transcribed Image Text:During a month-long advertising campaign, the total sales S of a magazine is modeled by the function S(x) = 2x2 + 48x + 11,000, where x represents the number of days since the campaign began, 0 < x < 30. (a) What is the average rate of change of sales from x = 10 to x = 20 days? AS sales/day Ax (b) What is the instantaneous rate of change S'(6) of sales when x = 6 days? S'(6) = sales/day
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