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.
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(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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