a. Explanation Given: The fraction of bulbs that remain burning aftertweeks is given by: F ( t ) = e − k t ….. (1) Also, twice as many bulbs are burning after 5 weeks as after 9 weeks. Calculations: It is given that twice as many bulbs are burning after 5 weeks as after 9 weeks. That is, F ( 5 ) = 2 F ( 9 ) Then usingtheequation (1), e − 5 k = 2 e − 9 k Take natural log on both sides, ln ( e − 5 k ) = ln ( 2 e − 9 k ) − 5 k = ln 2 + ln e − 9 k − 5 k = ln 2 − 9 k [ ∵ ln ( e b. To determine To find: fraction of bulbs that burn out before 10 weeks. c. To determine To find: fraction of bulb that can be expected to burn out between the 4 t h and 5 t h week.

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 2, Problem 77SP

To determine

To find: k and fraction of bulb still burning after 7 weeks.

To determine

To find:fraction of bulbs that burn out before 10 weeks.

To determine

To find:fraction of bulb that can be expected to burn out between the 4^t^h and 5^t^h week.

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Chapter 2, Problem 76SP

Chapter 2, Problem 78SP

Chapter 2 Solutions

Calculus

Ch. 2.1 - Prob. 1PS Ch. 2.1 - Prob. 2PS Ch. 2.1 - Prob. 3PS Ch. 2.1 - Prob. 4PS Ch. 2.1 - Prob. 5PS Ch. 2.1 - Prob. 6PS Ch. 2.1 - Prob. 7PS Ch. 2.1 - Prob. 8PS Ch. 2.1 - Prob. 9PS Ch. 2.1 - Prob. 10PS

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Prob. 17PE Ch. 2 - Prob. 18PE Ch. 2 - Prob. 19PE Ch. 2 - Prob. 20PE Ch. 2 - Prob. 21PE Ch. 2 - Prob. 22PE Ch. 2 - Prob. 23PE Ch. 2 - Prob. 24PE Ch. 2 - Prob. 25PE Ch. 2 - Prob. 26PE Ch. 2 - Prob. 27PE Ch. 2 - Prob. 28PE Ch. 2 - Prob. 29PE Ch. 2 - Prob. 30PE Ch. 2 - Prob. 1SP Ch. 2 - Prob. 2SP Ch. 2 - Prob. 3SP Ch. 2 - Prob. 4SP Ch. 2 - Prob. 5SP Ch. 2 - Prob. 6SP Ch. 2 - Prob. 7SP Ch. 2 - Prob. 8SP Ch. 2 - Prob. 9SP Ch. 2 - Prob. 10SP Ch. 2 - Prob. 11SP Ch. 2 - Prob. 12SP Ch. 2 - Prob. 13SP Ch. 2 - Prob. 14SP Ch. 2 - Prob. 15SP Ch. 2 - Prob. 16SP Ch. 2 - Prob. 17SP Ch. 2 - Prob. 18SP Ch. 2 - Prob. 19SP Ch. 2 - Prob. 20SP Ch. 2 - Prob. 21SP Ch. 2 - Prob. 22SP Ch. 2 - Prob. 23SP Ch. 2 - Prob. 24SP Ch. 2 - Prob. 25SP Ch. 2 - Prob. 26SP Ch. 2 - Prob. 27SP Ch. 2 - Prob. 28SP Ch. 2 - Prob. 29SP Ch. 2 - Prob. 30SP Ch. 2 - Prob. 31SP Ch. 2 - Prob. 32SP Ch. 2 - Prob. 33SP Ch. 2 - Prob. 34SP Ch. 2 - Prob. 35SP Ch. 2 - Prob. 36SP Ch. 2 - Prob. 37SP Ch. 2 - Prob. 38SP Ch. 2 - Prob. 39SP Ch. 2 - Prob. 40SP Ch. 2 - Prob. 41SP Ch. 2 - Prob. 42SP Ch. 2 - Prob. 43SP Ch. 2 - Prob. 44SP Ch. 2 - Prob. 45SP Ch. 2 - Prob. 46SP Ch. 2 - Prob. 47SP Ch. 2 - Prob. 48SP Ch. 2 - Prob. 49SP Ch. 2 - Prob. 50SP Ch. 2 - Prob. 51SP Ch. 2 - Prob. 52SP Ch. 2 - Prob. 53SP Ch. 2 - Prob. 54SP Ch. 2 - Prob. 55SP Ch. 2 - Prob. 56SP Ch. 2 - Prob. 57SP Ch. 2 - Prob. 58SP Ch. 2 - Prob. 59SP Ch. 2 - Prob. 60SP Ch. 2 - Prob. 61SP Ch. 2 - Prob. 62SP Ch. 2 - Prob. 63SP Ch. 2 - Prob. 64SP Ch. 2 - Prob. 65SP Ch. 2 - Prob. 66SP Ch. 2 - Prob. 67SP Ch. 2 - Prob. 68SP Ch. 2 - Prob. 69SP Ch. 2 - Prob. 70SP Ch. 2 - Prob. 71SP Ch. 2 - Prob. 72SP Ch. 2 - Prob. 73SP Ch. 2 - Prob. 74SP Ch. 2 - Prob. 75SP Ch. 2 - Prob. 76SP Ch. 2 - Prob. 77SP Ch. 2 - Prob. 78SP Ch. 2 - Prob. 79SP Ch. 2 - Prob. 80SP Ch. 2 - Prob. 81SP Ch. 2 - Prob. 82SP Ch. 2 - Prob. 83SP Ch. 2 - Prob. 84SP Ch. 2 - Prob. 85SP Ch. 2 - Prob. 86SP Ch. 2 - Prob. 87SP Ch. 2 - Prob. 88SP Ch. 2 - Prob. 89SP Ch. 2 - Prob. 90SP Ch. 2 - Prob. 91SP Ch. 2 - Prob. 92SP Ch. 2 - Prob. 93SP Ch. 2 - 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k and fraction of bulb still burning after 7 weeks.

Solution Summary: The author calculates that twice as many bulbs are burning after 5 weeks as after 9 weeks.

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To find: k and fraction of bulb still burning after 7 weeks.

To find:fraction of bulbs that burn out before 10 weeks.

To find:fraction of bulb that can be expected to burn out between the 4th and 5th week.

Want to see the full answer?

Chapter 2 Solutions

To find:fraction of bulb that can be expected to burn out between the 4^t^h and 5^t^h week.