The Law of Cosines states that c 2 a 2 b 2 2ab cos , where a, b, c are the sides of a triangle and is the angle opposite the side of length c (a) Compute 20 da, 30 ab, and 20 ac using implicit differentiation (b) Suppose that a 10, b 16, c 22 Estimate the change in 0 if a and b are increased by 1 a...

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The Law of Cosines states that c 2 = a 2 + b 2 2ab cos

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The Law of Cosines states that c²= a² + b²− 2ab cos θ, where a, b, c are the sides of a triangle and θ is the angle opposite the side of length c.

(a) Compute 28/0a, 30/ab, and 20/ac using implicit differentiation. (b) Suppose that a = 10, b = 16, c = 22.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 16, 2024 09:02 AM

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The Law of Cosines states that c 2 = a 2 + b 2 2ab cos

Question:

(a) Compute 20/da, 30/ab, and 20/ac using implicit differentiation. (b) Suppose that a = 10, b = 16, c = 22. Estimate the change in 0 if a and b are increased by 1 and c is increased by 2.

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Calculus

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