Explanation Given: The p -series ∑ k = 1 ∞ 1 k p Concept Used: The p -series ∑ n = 1 ∞ 1 n p converges if p > 1 and divergent if p ≤ 1 . Calculation: The given p -series ∑ k = 1 ∞ 1 k p converges if p > 1 and diverges if p ≤ 1 For example, For a p -series ∑ x = 1 ∞ 1 x 2 Sin

6th Edition

ISBN: 9781465208880

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

Publisher: Kendall Hunt Publishing

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Chapter 8.4, Problem 2PS

To determine

ToExplain:When the p-series

∑k=1∞1kp converges and when it diverges.

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Chapter 8.4, Problem 1PS

Chapter 8.4, Problem 3PS

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Find the mean and standard deviation of the following observations : X:1, 2, 4, 6, 8, 9 Transform the given observations such that : (i) The mean of the transformed series becomes 12 while the standard deviation remains unchanged. (ii) The mean of the transformed series becomes 12 and standard deviation becomes double the standard deviation of the given series.

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Chapter 8 Solutions

Calculus

Ch. 8.1 - Prob. 1PS Ch. 8.1 - Prob. 2PS Ch. 8.1 - Prob. 3PS Ch. 8.1 - Prob. 4PS Ch. 8.1 - Prob. 5PS Ch. 8.1 - Prob. 6PS Ch. 8.1 - Prob. 7PS Ch. 8.1 - Prob. 8PS Ch. 8.1 - Prob. 9PS Ch. 8.1 - Prob. 10PS

Ch. 8.1 - Prob. 11PS Ch. 8.1 - Prob. 12PS Ch. 8.1 - Prob. 13PS Ch. 8.1 - Prob. 14PS Ch. 8.1 - Prob. 15PS Ch. 8.1 - Prob. 16PS Ch. 8.1 - Prob. 17PS Ch. 8.1 - Prob. 18PS Ch. 8.1 - Prob. 19PS Ch. 8.1 - Prob. 20PS Ch. 8.1 - Prob. 21PS Ch. 8.1 - Prob. 22PS Ch. 8.1 - Prob. 23PS Ch. 8.1 - Prob. 24PS Ch. 8.1 - Prob. 25PS Ch. 8.1 - Prob. 26PS Ch. 8.1 - Prob. 27PS Ch. 8.1 - Prob. 28PS Ch. 8.1 - Prob. 29PS Ch. 8.1 - Prob. 30PS Ch. 8.1 - Prob. 31PS Ch. 8.1 - Prob. 32PS Ch. 8.1 - Prob. 33PS Ch. 8.1 - Prob. 34PS Ch. 8.1 - Prob. 35PS Ch. 8.1 - Prob. 36PS Ch. 8.1 - Prob. 37PS Ch. 8.1 - Prob. 38PS Ch. 8.1 - Prob. 39PS Ch. 8.1 - Prob. 40PS Ch. 8.1 - Prob. 41PS Ch. 8.1 - Prob. 42PS Ch. 8.1 - Prob. 43PS Ch. 8.1 - Prob. 44PS Ch. 8.1 - Prob. 45PS Ch. 8.1 - Prob. 46PS Ch. 8.1 - Prob. 47PS Ch. 8.1 - Prob. 48PS Ch. 8.1 - Prob. 49PS Ch. 8.1 - Prob. 50PS Ch. 8.1 - Prob. 51PS Ch. 8.1 - Prob. 52PS Ch. 8.1 - Prob. 53PS Ch. 8.1 - Prob. 54PS Ch. 8.1 - Prob. 55PS Ch. 8.1 - Prob. 56PS Ch. 8.1 - Prob. 57PS Ch. 8.1 - Prob. 58PS Ch. 8.1 - 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Prob. 40PS Ch. 8.7 - Prob. 41PS Ch. 8.7 - Prob. 42PS Ch. 8.7 - Prob. 43PS Ch. 8.7 - Prob. 44PS Ch. 8.7 - Prob. 45PS Ch. 8.7 - Prob. 46PS Ch. 8.7 - Prob. 47PS Ch. 8.7 - Prob. 48PS Ch. 8.7 - Prob. 49PS Ch. 8.7 - Prob. 50PS Ch. 8.7 - Prob. 51PS Ch. 8.7 - Prob. 52PS Ch. 8.7 - Prob. 53PS Ch. 8.7 - Prob. 54PS Ch. 8.7 - Prob. 55PS Ch. 8.7 - Prob. 56PS Ch. 8.7 - Prob. 57PS Ch. 8.7 - Prob. 58PS Ch. 8.7 - Prob. 59PS Ch. 8.7 - Prob. 60PS Ch. 8.8 - Prob. 1PS Ch. 8.8 - Prob. 2PS Ch. 8.8 - Prob. 3PS Ch. 8.8 - Prob. 4PS Ch. 8.8 - Prob. 5PS Ch. 8.8 - Prob. 6PS Ch. 8.8 - Prob. 7PS Ch. 8.8 - Prob. 8PS Ch. 8.8 - Prob. 9PS Ch. 8.8 - Prob. 10PS Ch. 8.8 - Prob. 11PS Ch. 8.8 - Prob. 12PS Ch. 8.8 - Prob. 13PS Ch. 8.8 - Prob. 14PS Ch. 8.8 - Prob. 15PS Ch. 8.8 - Prob. 16PS Ch. 8.8 - Prob. 17PS Ch. 8.8 - Prob. 18PS Ch. 8.8 - Prob. 19PS Ch. 8.8 - Prob. 20PS Ch. 8.8 - Prob. 21PS Ch. 8.8 - Prob. 22PS Ch. 8.8 - Prob. 23PS Ch. 8.8 - Prob. 24PS Ch. 8.8 - Prob. 25PS Ch. 8.8 - Prob. 26PS Ch. 8.8 - Prob. 27PS Ch. 8.8 - Prob. 28PS Ch. 8.8 - 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