Explanation Given: The number of students who learned of the new program t hr later is f ( t ) = 3000 1 + B e − k t . The number of student, attended the ceremony was 300. Formula used: The function is h ( x ) = [ g ( x ) ] n by General Power Rule is, h ′ ( x ) = n [ g ( x ) ] n − 1 ⋅ g ′ ( x ) Calculation: Section1: The dedication ceremony of a new building on a college campus was attended by 300 students. Since f ( 0 ) = 300 and after two hr of the ceremony, 600 students heard about the new program f ( 2 ) = 600 Substitute 0 for t in equation f ( t ) = 3000 1 + B e − k t , to find the value of B . f ( 0 ) = 3000 1 + B e − k × 0 1 + B = 3000 300 1 + B = 10 B = 9 Substitute 2 for t in equation f ( t ) = 3000 1 + B e − k t , to find the value of k . f ( 2 ) = 3000 1 + 9 e − k × 2 600 = 3000 1 + 9 e − k × 2 1 + 9 e − k × 2 = 5 Further solve the above equation. e 2 k = 9 4 k = 1 2 ⋅ ln ( 2.25 ) k = 0.405465 Substitute 0.405465 for k and 9 for B in equation (1). f ( t ) = 3000 1 + 9 e − 0

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

10th Edition

ISBN: 9781305657861

Author: Soo T. Tan

Publisher: Cengage Learning

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Chapter 5.6, Problem 27E

To determine

To find: The number of students who heard about the policy after 4hrs and the rate at which the news was spreading 4hrs after the ceremony.

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Chapter 5.6, Problem 26E

Chapter 5.6, Problem 28E

Chapter 5 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

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Prob. 33E Ch. 5.4 - Prob. 34E Ch. 5.4 - Prob. 35E Ch. 5.4 - Prob. 36E Ch. 5.4 - Prob. 37E Ch. 5.4 - Prob. 38E Ch. 5.4 - Prob. 39E Ch. 5.4 - Prob. 40E Ch. 5.4 - Prob. 41E Ch. 5.4 - Prob. 42E Ch. 5.4 - Prob. 43E Ch. 5.4 - Prob. 44E Ch. 5.4 - Prob. 45E Ch. 5.4 - Prob. 46E Ch. 5.4 - Prob. 47E Ch. 5.4 - Prob. 48E Ch. 5.4 - Prob. 49E Ch. 5.4 - Prob. 50E Ch. 5.4 - In Exercises 51 and 52, find dy/dx by implicit...Ch. 5.4 - Prob. 52E Ch. 5.4 - Prob. 53E Ch. 5.4 - Prob. 54E Ch. 5.4 - Prob. 55E Ch. 5.4 - Prob. 56E Ch. 5.4 - Prob. 57E Ch. 5.4 - Prob. 58E Ch. 5.4 - Prob. 59E Ch. 5.4 - Prob. 60E Ch. 5.4 - Prob. 61E Ch. 5.4 - Prob. 62E Ch. 5.4 - Prob. 63E Ch. 5.4 - Prob. 64E Ch. 5.4 - Prob. 65E Ch. 5.4 - Prob. 66E Ch. 5.4 - Prob. 67E Ch. 5.4 - Prob. 68E Ch. 5.4 - Prob. 69E Ch. 5.4 - PRICE OF WEST The monthly demand for a certain...Ch. 5.4 - Prob. 71E Ch. 5.4 - SALES OF A PRODUCT The total number of units of a...Ch. 5.4 - Prob. 73E Ch. 5.4 - Prob. 74E Ch. 5.4 - Prob. 75E Ch. 5.4 - Prob. 76E Ch. 5.4 - Prob. 77E Ch. 5.4 - Prob. 78E Ch. 5.4 - Prob. 79E Ch. 5.4 - Prob. 80E Ch. 5.4 - Prob. 81E Ch. 5.4 - Prob. 82E Ch. 5.4 - Prob. 83E Ch. 5.4 - Prob. 84E Ch. 5.4 - Prob. 85E Ch. 5.4 - Prob. 86E Ch. 5.4 - Prob. 87E Ch. 5.4 - Prob. 88E Ch. 5.4 - Prob. 89E Ch. 5.4 - Prob. 90E Ch. 5.4 - Prob. 91E Ch. 5.4 - Prob. 92E Ch. 5.4 - Prob. 1TE Ch. 5.4 - Prob. 2TE Ch. 5.4 - Prob. 3TE Ch. 5.4 - Prob. 4TE Ch. 5.4 - Prob. 5TE Ch. 5.4 - Prob. 6TE Ch. 5.4 - Prob. 7TE Ch. 5.4 - Prob. 8TE Ch. 5.4 - Prob. 9TE Ch. 5.4 - Prob. 10TE Ch. 5.5 - Prob. 1CQ Ch. 5.5 - Prob. 2CQ Ch. 5.5 - Prob. 1E Ch. 5.5 - Prob. 2E Ch. 5.5 - Prob. 3E Ch. 5.5 - Prob. 4E Ch. 5.5 - Prob. 5E Ch. 5.5 - Prob. 6E Ch. 5.5 - Prob. 7E Ch. 5.5 - Prob. 8E Ch. 5.5 - Prob. 9E Ch. 5.5 - Prob. 10E Ch. 5.5 - Prob. 11E Ch. 5.5 - Prob. 12E Ch. 5.5 - Prob. 13E Ch. 5.5 - Prob. 14E Ch. 5.5 - Prob. 15E Ch. 5.5 - Prob. 16E Ch. 5.5 - Prob. 17E Ch. 5.5 - Prob. 18E Ch. 5.5 - Prob. 19E Ch. 5.5 - Prob. 20E Ch. 5.5 - Prob. 21E Ch. 5.5 - Prob. 22E Ch. 5.5 - Prob. 23E Ch. 5.5 - Prob. 24E Ch. 5.5 - Prob. 25E Ch. 5.5 - Prob. 26E Ch. 5.5 - Prob. 27E Ch. 5.5 - find the derivative of the function. 28...Ch. 5.5 - Prob. 29E Ch. 5.5 - Prob. 30E Ch. 5.5 - Prob. 31E Ch. 5.5 - Prob. 32E Ch. 5.5 - Prob. 33E Ch. 5.5 - Prob. 34E Ch. 5.5 - Prob. 35E Ch. 5.5 - Prob. 36E Ch. 5.5 - Prob. 37E Ch. 5.5 - Prob. 38E Ch. 5.5 - Prob. 39E Ch. 5.5 - Prob. 40E Ch. 5.5 - Prob. 41E Ch. 5.5 - Prob. 42E Ch. 5.5 - Prob. 43E Ch. 5.5 - Prob. 44E Ch. 5.5 - Prob. 45E Ch. 5.5 - Prob. 46E Ch. 5.5 - Prob. 47E Ch. 5.5 - Prob. 48E Ch. 5.5 - Prob. 49E Ch. 5.5 - Prob. 50E Ch. 5.5 - Prob. 51E Ch. 5.5 - Prob. 52E Ch. 5.5 - Prob. 53E Ch. 5.5 - Prob. 54E Ch. 5.5 - Prob. 55E Ch. 5.5 - Prob. 56E Ch. 5.5 - Prob. 57E Ch. 5.5 - Prob. 58E Ch. 5.5 - Prob. 59E Ch. 5.5 - Prob. 60E Ch. 5.5 - Prob. 61E Ch. 5.5 - Prob. 62E Ch. 5.5 - Prob. 63E Ch. 5.5 - Prob. 64E Ch. 5.5 - Prob. 65E Ch. 5.5 - Prob. 66E Ch. 5.5 - Prob. 67E Ch. 5.5 - Prob. 68E Ch. 5.5 - Prob. 69E Ch. 5.5 - Prob. 70E Ch. 5.5 - Prob. 71E Ch. 5.5 - Prob. 72E Ch. 5.5 - Prob. 73E Ch. 5.5 - Prob. 74E Ch. 5.5 - Prob. 75E Ch. 5.5 - Prob. 76E Ch. 5.5 - Prob. 77E Ch. 5.5 - Prob. 78E Ch. 5.5 - Prob. 79E Ch. 5.5 - Prob. 80E Ch. 5.5 - Prob. 81E Ch. 5.5 - Prob. 82E Ch. 5.5 - Prob. 83E Ch. 5.5 - Prob. 84E Ch. 5.5 - Prob. 85E Ch. 5.5 - Prob. 86E Ch. 5.5 - Prob. 87E Ch. 5.5 - Prob. 88E Ch. 5.5 - Prob. 89E Ch. 5.5 - Prob. 90E Ch. 5.5 - Prob. 91E Ch. 5.5 - Prob. 92E Ch. 5.5 - Prob. 93E Ch. 5.5 - Prob. 94E Ch. 5.5 - Prob. 95E Ch. 5.5 - Prob. 96E Ch. 5.5 - Prob. 97E Ch. 5.5 - Prob. 98E Ch. 5.5 - Prob. 99E Ch. 5.5 - Prob. 100E Ch. 5.6 - Prob. 1CQ Ch. 5.6 - Prob. 2CQ Ch. 5.6 - Prob. 3CQ Ch. 5.6 - Prob. 1E Ch. 5.6 - Prob. 2E Ch. 5.6 - Prob. 3E Ch. 5.6 - Prob. 4E Ch. 5.6 - Prob. 5E Ch. 5.6 - RESALE VALUE Garland Mills purchased a certain...Ch. 5.6 - Prob. 7E Ch. 5.6 - Prob. 8E Ch. 5.6 - Prob. 9E Ch. 5.6 - Prob. 10E Ch. 5.6 - Prob. 11E Ch. 5.6 - Prob. 12E Ch. 5.6 - Prob. 13E Ch. 5.6 - Prob. 14E Ch. 5.6 - Prob. 15E Ch. 5.6 - LEARNING CURVES The American Court Reporting...Ch. 5.6 - Prob. 17E Ch. 5.6 - Prob. 18E Ch. 5.6 - DEMAND FOR COMPUTERS Universal Instruments found...Ch. 5.6 - Prob. 20E Ch. 5.6 - Prob. 21E Ch. 5.6 - Prob. 22E Ch. 5.6 - GROWTH OF A FRUIT FLY POPULATION On the basis of...Ch. 5.6 - Prob. 24E Ch. 5.6 - Prob. 25E Ch. 5.6 - Prob. 26E Ch. 5.6 - Prob. 27E Ch. 5.6 - Prob. 28E Ch. 5.6 - Prob. 29E Ch. 5.6 - Prob. 30E Ch. 5.6 - Prob. 31E Ch. 5.6 - Prob. 32E Ch. 5.6 - Prob. 33E Ch. 5.6 - Prob. 34E Ch. 5.6 - Prob. 35E Ch. 5.6 - Prob. 36E Ch. 5.6 - Prob. 37E Ch. 5.6 - Prob. 38E Ch. 5.6 - Prob. 1TE Ch. 5.6 - Prob. 2TE Ch. 5.6 - Prob. 3TE Ch. 5.6 - Prob. 4TE Ch. 5.6 - Prob. 5TE Ch. 5.6 - Prob. 6TE Ch. 5.6 - Prob. 7TE Ch. 5.6 - Prob. 8TE Ch. 5 - Prob. 1CRQ Ch. 5 - Prob. 2CRQ Ch. 5 - Prob. 3CRQ Ch. 5 - Prob. 4CRQ Ch. 5 - Prob. 5CRQ Ch. 5 - Prob. 6CRQ Ch. 5 - Prob. 7CRQ Ch. 5 - Prob. 8CRQ Ch. 5 - Prob. 9CRQ Ch. 5 - Prob. 10CRQ Ch. 5 - Prob. 1RE Ch. 5 - Prob. 2RE Ch. 5 - Prob. 3RE Ch. 5 - Prob. 4RE Ch. 5 - Prob. 5RE Ch. 5 - Prob. 6RE Ch. 5 - Prob. 7RE Ch. 5 - Prob. 8RE Ch. 5 - 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The number of students who heard about the policy after 4hrs and the rate at which the news was spreading 4hrs after the ceremony.

Solution Summary: The author calculates the number of students who heard about the policy after 4hrs and the rate at which the news was spreading after the ceremony.

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To find: The number of students who heard about the policy after 4hrs and the rate at which the news was spreading 4hrs after the ceremony.

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