Explanation Given: y = f ( x ) whose graph passes through (0,1) and has the property that the normal line at each point ( x , y ) on the graph has slope sec x x y . Calculation: Find a function y = f ( x ) whose graph passes through (0,1) and has the property that the normal line at each point ( x , y ) on the graph has slope sec x x y Since slope of normal line is sec x x y , so − d x d y = sec x x y − x d x sec x = d y y − x cos x d x = d y y Integrate both sides. ∫ d y y = − ∫ x cos x d x x ln y = − [ x <

6th Edition

ISBN: 9781465208880

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

Publisher: Kendall Hunt Publishing

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Chapter 7.2, Problem 47PS

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To find: a function y=f(x) who has following given properties.

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Chapter 7.2, Problem 46PS

Chapter 7.2, Problem 48PS

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Chapter 7 Solutions

Calculus

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a function y = f ( x ) who has following given properties.

Solution Summary: The author explains how to find a function y=f(x) whose graph passes through (0,1) and has the property that the normal line at each point on the graph has slope.

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To find: a function y=f(x) who has following given properties.

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Chapter 7 Solutions