Explanation Given information: The triangle is right angled triangle and the length of legs is ‘a’ and ‘b’ and a hypotenuse of length ‘h’ where ‘h’ is constant. Concept and Formula Used: The following differentiation formula are used: d d x ( x n ) = n x n − 1 ,Pythagorean theorem: h 2 = b 2 + p 2 Calculation: The right triangle is Using Pythagorean theorem we get h 2 = b 2 + a 2 As the size of triangle is changing and hypotenuse is constant therefore length of both the legs will change. Differentiate both sides with respect to ‘t’ d d t ( h 2 ) = d d t ( b 2 + a 2 ) Using d d x ( x n

14th Edition

ISBN: 9781464140051

Author: TAALMAN, Laura, Kohn, Peter

Publisher: W. H. Freeman

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Chapter 3.5, Problem 65P

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To Prove: that the ratio of dadt&dbdt is −ba .

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Chapter 3.5, Problem 64P

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Chapter 3 Solutions

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