Explanation Given info: ( b − c ) ( x 2 + ( x f ' ( x ) ) 2 ) − ( b − ( f ( x ) − x f ' ( x ) ) ) ( c − ( f ( x ) − x f ' ( x ) ) ) ( x 2 + ( b − f ( x ) ) 2 ) ( x 2 + ( c − f ( x ) ) 2 ) Formula used: θ ( x ) = tan 1 c − f ( x ) x tan − 1 b − f ( x ) x Calculation: θ ( x ) = tan 1 c − f ( x ) x tan − 1 b − f ( x ) x θ ' ( x ) = b − ( f ( x ) − x f ' ( x ) ) x 2 + ( b − f ( x ) ) 2 − c − ( f ( x ) − x f ' ( x ) ) x 2 + ( c − f ( x ) ) 2 ) = ( b − c ) x 2 − b c + ( b + c ) ( f ( x To determine b) Show that the condition y − coordinate of Q f ( x ) − x f ' ( x ) To determine c) Show that the condition d θ d x = 0 is equivalent to To determine d) Conclude that Δ Q P B a n d Δ Q C P are similar triangle

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Limits

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Question

Chapter 4.5, Problem 75E

To determine

Show that dθdx is equal to

To determine

b)

Show that the condition y− coordinate of Q f(x)−xf'(x)

To determine

c)

Show that the condition dθdx=0 is equivalent to

To determine

d)

Conclude that ΔQPB and ΔQCP are similar triangle

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Chapter 4.5, Problem 74E

Chapter 4.5, Problem 76E

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Chapter 4 Solutions

CALCULUS (CLOTH)

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E Ch. 4.1 - Prob. 11E Ch. 4.1 - Prob. 12E Ch. 4.1 - Prob. 13E Ch. 4.1 - Prob. 14E Ch. 4.1 - Prob. 15E Ch. 4.1 - Prob. 16E Ch. 4.1 - Prob. 17E Ch. 4.1 - Prob. 18E Ch. 4.1 - Prob. 19E Ch. 4.1 - Prob. 20E Ch. 4.1 - Prob. 21E Ch. 4.1 - Prob. 22E Ch. 4.1 - Prob. 23E Ch. 4.1 - Prob. 24E Ch. 4.1 - Prob. 25E Ch. 4.1 - Prob. 26E Ch. 4.1 - Prob. 27E Ch. 4.1 - Prob. 28E Ch. 4.1 - Prob. 29E Ch. 4.1 - Prob. 30E Ch. 4.1 - Prob. 31E Ch. 4.1 - Prob. 32E Ch. 4.1 - Prob. 33E Ch. 4.1 - Prob. 34E Ch. 4.1 - Prob. 35E Ch. 4.1 - Prob. 36E Ch. 4.1 - Prob. 37E Ch. 4.1 - Prob. 38E Ch. 4.1 - Prob. 39E Ch. 4.1 - Prob. 40E Ch. 4.1 - Prob. 41E Ch. 4.1 - Prob. 42E Ch. 4.1 - Prob. 43E Ch. 4.1 - Prob. 44E Ch. 4.1 - Prob. 45E Ch. 4.1 - Prob. 46E Ch. 4.1 - Prob. 47E Ch. 4.1 - Prob. 48E Ch. 4.1 - Prob. 49E Ch. 4.1 - Prob. 50E Ch. 4.1 - Prob. 51E Ch. 4.1 - Prob. 52E Ch. 4.1 - Prob. 53E Ch. 4.1 - Prob. 54E Ch. 4.1 - Prob. 55E Ch. 4.1 - Prob. 56E Ch. 4.1 - 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