An advertising company is evaluating impact of an advertising campaign over time. Rate of new customers purchasing product due to campaign is modelled with function:  R(t)=20∙e-0,1t ∙ cos(t)  Where R(t) represents rate of new customers per days acquired due to campaign on day t after campaign started. Company wants to calculate total new customers acquired from start of campaign until 30 days later to evaluate effectiveness of campaign.a) Calculate total new customers acquired during first 30 days using integral of new customer rate function.b) Interpret your result obtained NOTE: please solve integrals methods step by step. THANKS

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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An advertising company is evaluating impact of an advertising campaign over time. Rate of new customers purchasing product due to campaign is modelled with function: 

R(t)=20∙e-0,1t ∙ cos(t) 

Where R(t) represents rate of new customers per days acquired due to campaign on day t after campaign started. Company wants to calculate total new customers acquired from start of campaign until 30 days later to evaluate effectiveness of campaign.
a) Calculate total new customers acquired during first 30 days using integral of new customer rate function.
b) Interpret your result obtained

NOTE: please solve integrals methods step by step. THANKS 

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