(A) Explanation Given: The revenue function approximated on the sale of sweater in a sportswear chain is R ( t ) = 3 + 2 cos π t 6 , 0 ≤ t ≤ 24 where R is the revenue in thousands of dollars for a sale in t months after January 1. The function cos t lies within the range of [ − 1 , 1 ] for all values of x. Use online graphing calculator to obtain the graph of the function R ( t ) = 3 + 2 cos π t 6 , 0 ≤ t ≤ 24 as shown below in Figure 1. From Figure 1, the graph of the function R ( t ) = 3 + 2 cos π t 6 , 0 ≤ t ≤ 24 is obtained in the first quadrant with maximum value of 5 and minimum value of 1. Observe that the highest value is attained by the function at three points t = 0 , t = 12 and t = 24 and the lowest value is attained by the function at three points t = 6 and t = 18 . The values of cos 0 = 1 , cos π 3 = 1 2 , cos π 2 = 0 and cos π = − 1 . When t = 0 , compute the value of R ( t ) as follows. R ( 0 ) = 3 + 2 cos π ( 0 ) 6 = 3 + 2 cos 0 = 3 + 2 = 5 When t = 2 , compute the value of R ( t ) as follows (B) To determine To find: The values of R ( 1 ) and R ( 22 ) with the help of calculator.

Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)

13th Edition

ISBN: 9780321869838

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen

Publisher: PEARSON

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Chapter 8, Problem 30RE

(A)

To determine

To find: The exact values of R(0),R(2),R(3) and R(6) without the help of a calculator.

(B)

To determine

To find: The values of R(1) and R(22) with the help of calculator.

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Chapter 8, Problem 29RE

Chapter 8, Problem 31RE

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Chapter 8 Solutions

Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)

Ch. 8.1 - Find the degree measure of 1 rad.Ch. 8.1 - Prob. 2MP Ch. 8.1 - Prob. 3MP Ch. 8.1 - Prob. 1ED Ch. 8.1 - Prob. 1E Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...

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The exact values of R ( 0 ) , R ( 2 ) , R ( 3 ) and R ( 6 ) without the help of a calculator.