Explanation Given: The equation of circle is x 2 + y 2 = a 2 a ≥ 0 Let the coordinate on circle be ( x , y ) Product of x and y coordinate is P P = x y y 2 = a 2 − x 2 y = a 2 − x 2 Put y into P P ( x ) = x a 2 − x 2 Now find the derivative and critical point P ' ( x ) = a 2 − x 2 − x 2 a 2 − x 2 For critical point, P ' ( x ) = 0 a 2 − x 2 − x 2 a 2 − x 2 = 0 a 2 − 2 x 2 = 0 x

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

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

Publisher: Kendall Hunt Publishing

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Chapter 4.1, Problem 56PS

To determine

To find: All the points when product of x and y coordinate is maximum.

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Chapter 4.1, Problem 55PS

Chapter 4.1, Problem 57PS

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Chapter 4 Solutions

Student's Solution and Survival Manual for Calculus

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All the points when product of x and y coordinate is maximum.

Solution Summary: The author explains that the equation of circle is (x,y) The product of x and y coordinate is P.

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To find: All the points when product of x and y coordinate is maximum.

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Chapter 4 Solutions