Explanation Given information: The figure is shown below. Calculation: Consider the diagram. The length of the pipe is x + y . sin θ = 2 2 x x = 2 2 sin θ cos θ = 2 2 y y = 2 2 cos θ The length of the pipe is, L = 2 2 sin θ + 2 2 cos θ Differentiate above equation

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

6th Edition

ISBN: 9781524908102

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

Publisher: Kendall Hunt Publishing

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Question

Chapter 4.6, Problem 56PS

To determine

To find: The absolute minimum of L(θ) .

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Chapter 4.6, Problem 55PS

Chapter 4.6, Problem 57PS

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Chapter 4 Solutions

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

Ch. 4.1 - Prob. 1PS Ch. 4.1 - Prob. 2PS Ch. 4.1 - Prob. 3PS Ch. 4.1 - Prob. 4PS Ch. 4.1 - Prob. 5PS Ch. 4.1 - Prob. 6PS Ch. 4.1 - Prob. 7PS Ch. 4.1 - Prob. 8PS Ch. 4.1 - Prob. 9PS Ch. 4.1 - Prob. 10PS

Ch. 4.1 - Prob. 11PS Ch. 4.1 - Prob. 12PS Ch. 4.1 - Prob. 13PS Ch. 4.1 - Prob. 14PS Ch. 4.1 - Prob. 15PS Ch. 4.1 - Prob. 16PS Ch. 4.1 - Prob. 17PS Ch. 4.1 - Prob. 18PS Ch. 4.1 - Prob. 19PS Ch. 4.1 - Prob. 20PS Ch. 4.1 - Prob. 21PS Ch. 4.1 - Prob. 22PS Ch. 4.1 - Prob. 23PS Ch. 4.1 - Prob. 24PS Ch. 4.1 - Prob. 25PS Ch. 4.1 - Prob. 26PS Ch. 4.1 - Prob. 27PS Ch. 4.1 - Prob. 28PS Ch. 4.1 - Prob. 29PS Ch. 4.1 - Prob. 30PS Ch. 4.1 - Prob. 31PS Ch. 4.1 - Prob. 32PS Ch. 4.1 - Prob. 33PS Ch. 4.1 - Prob. 34PS Ch. 4.1 - Prob. 35PS Ch. 4.1 - Prob. 36PS Ch. 4.1 - Prob. 37PS Ch. 4.1 - Prob. 38PS Ch. 4.1 - Prob. 39PS Ch. 4.1 - Prob. 40PS Ch. 4.1 - Prob. 41PS Ch. 4.1 - Prob. 42PS Ch. 4.1 - Prob. 43PS Ch. 4.1 - Prob. 44PS Ch. 4.1 - Prob. 45PS Ch. 4.1 - Prob. 46PS Ch. 4.1 - Prob. 47PS Ch. 4.1 - Prob. 48PS Ch. 4.1 - Prob. 49PS Ch. 4.1 - Prob. 50PS Ch. 4.1 - Prob. 51PS Ch. 4.1 - Prob. 52PS Ch. 4.1 - Prob. 53PS Ch. 4.1 - Prob. 54PS Ch. 4.1 - Prob. 55PS Ch. 4.1 - Prob. 56PS Ch. 4.1 - Prob. 57PS Ch. 4.1 - Prob. 58PS Ch. 4.1 - 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Prob. 15PS Ch. 4.5 - Prob. 16PS Ch. 4.5 - Prob. 17PS Ch. 4.5 - Prob. 18PS Ch. 4.5 - Prob. 19PS Ch. 4.5 - Prob. 20PS Ch. 4.5 - Prob. 21PS Ch. 4.5 - Prob. 22PS Ch. 4.5 - Prob. 23PS Ch. 4.5 - Prob. 24PS Ch. 4.5 - Prob. 25PS Ch. 4.5 - Prob. 26PS Ch. 4.5 - Prob. 27PS Ch. 4.5 - Prob. 28PS Ch. 4.5 - Prob. 29PS Ch. 4.5 - Prob. 30PS Ch. 4.5 - Prob. 31PS Ch. 4.5 - Prob. 32PS Ch. 4.5 - Prob. 33PS Ch. 4.5 - Prob. 34PS Ch. 4.5 - Prob. 35PS Ch. 4.5 - Prob. 36PS Ch. 4.5 - Prob. 37PS Ch. 4.5 - Prob. 38PS Ch. 4.5 - Prob. 39PS Ch. 4.5 - Prob. 40PS Ch. 4.5 - Prob. 41PS Ch. 4.5 - Prob. 42PS Ch. 4.5 - Prob. 43PS Ch. 4.5 - Prob. 44PS Ch. 4.5 - Prob. 45PS Ch. 4.5 - Prob. 46PS Ch. 4.5 - Prob. 47PS Ch. 4.5 - Prob. 48PS Ch. 4.5 - Prob. 49PS Ch. 4.5 - Prob. 50PS Ch. 4.5 - Prob. 51PS Ch. 4.5 - Prob. 52PS Ch. 4.5 - Prob. 53PS Ch. 4.5 - Prob. 54PS Ch. 4.5 - Prob. 55PS Ch. 4.5 - Prob. 56PS Ch. 4.5 - Prob. 57PS Ch. 4.5 - Prob. 58PS Ch. 4.5 - Prob. 59PS Ch. 4.5 - Prob. 60PS Ch. 4.6 - Prob. 1PS Ch. 4.6 - Prob. 2PS Ch. 4.6 - Prob. 3PS Ch. 4.6 - Prob. 4PS Ch. 4.6 - Prob. 5PS Ch. 4.6 - Prob. 6PS Ch. 4.6 - Prob. 7PS Ch. 4.6 - Prob. 8PS Ch. 4.6 - Prob. 9PS Ch. 4.6 - Prob. 10PS Ch. 4.6 - Prob. 11PS Ch. 4.6 - Prob. 12PS Ch. 4.6 - Prob. 13PS Ch. 4.6 - Prob. 14PS Ch. 4.6 - Prob. 15PS Ch. 4.6 - Prob. 16PS Ch. 4.6 - Prob. 17PS Ch. 4.6 - Prob. 18PS Ch. 4.6 - Prob. 19PS Ch. 4.6 - Prob. 20PS Ch. 4.6 - Prob. 21PS Ch. 4.6 - Prob. 22PS Ch. 4.6 - Prob. 23PS Ch. 4.6 - Prob. 24PS Ch. 4.6 - Prob. 25PS Ch. 4.6 - Prob. 26PS Ch. 4.6 - Prob. 27PS Ch. 4.6 - Prob. 28PS Ch. 4.6 - Prob. 29PS Ch. 4.6 - Prob. 30PS Ch. 4.6 - Prob. 31PS Ch. 4.6 - Prob. 32PS Ch. 4.6 - Prob. 33PS Ch. 4.6 - Prob. 34PS Ch. 4.6 - Prob. 35PS Ch. 4.6 - Prob. 36PS Ch. 4.6 - Prob. 37PS Ch. 4.6 - Prob. 38PS Ch. 4.6 - Prob. 39PS Ch. 4.6 - Prob. 40PS Ch. 4.6 - Prob. 41PS Ch. 4.6 - Prob. 42PS Ch. 4.6 - Prob. 43PS Ch. 4.6 - Prob. 44PS Ch. 4.6 - Prob. 45PS Ch. 4.6 - Prob. 46PS Ch. 4.6 - Prob. 47PS Ch. 4.6 - Prob. 48PS Ch. 4.6 - Prob. 49PS Ch. 4.6 - Prob. 50PS Ch. 4.6 - Prob. 51PS Ch. 4.6 - Prob. 52PS Ch. 4.6 - Prob. 53PS Ch. 4.6 - Prob. 54PS Ch. 4.6 - Prob. 55PS Ch. 4.6 - Prob. 56PS Ch. 4.6 - Prob. 57PS Ch. 4.6 - Prob. 58PS Ch. 4.6 - Prob. 59PS Ch. 4.6 - Prob. 60PS Ch. 4.7 - Prob. 1PS Ch. 4.7 - Prob. 2PS Ch. 4.7 - Prob. 3PS Ch. 4.7 - Prob. 4PS Ch. 4.7 - Prob. 5PS Ch. 4.7 - Prob. 6PS Ch. 4.7 - Prob. 7PS Ch. 4.7 - Prob. 8PS Ch. 4.7 - Prob. 9PS Ch. 4.7 - Prob. 10PS Ch. 4.7 - Prob. 11PS Ch. 4.7 - Prob. 12PS Ch. 4.7 - Prob. 13PS Ch. 4.7 - Prob. 14PS Ch. 4.7 - Prob. 15PS Ch. 4.7 - Prob. 16PS Ch. 4.7 - Prob. 17PS Ch. 4.7 - Prob. 18PS Ch. 4.7 - Prob. 19PS Ch. 4.7 - Prob. 20PS Ch. 4.7 - Prob. 21PS Ch. 4.7 - Prob. 22PS Ch. 4.7 - Prob. 23PS Ch. 4.7 - Prob. 24PS Ch. 4.7 - Prob. 25PS Ch. 4.7 - Prob. 26PS Ch. 4.7 - Prob. 27PS Ch. 4.7 - Prob. 28PS Ch. 4.7 - Prob. 29PS Ch. 4.7 - Prob. 30PS Ch. 4.7 - Prob. 31PS Ch. 4.7 - Prob. 32PS Ch. 4.7 - Prob. 33PS Ch. 4.7 - Prob. 34PS Ch. 4.7 - Prob. 35PS Ch. 4.7 - Prob. 36PS Ch. 4.7 - Prob. 37PS Ch. 4.7 - Prob. 38PS Ch. 4.7 - Prob. 39PS Ch. 4.7 - 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The absolute minimum of L ( θ ) .

Solution Summary: The author calculates the absolute minimum of L(theta ).

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To find: The absolute minimum of L(θ) .

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Chapter 4 Solutions