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(a) Consider the function f(x) = (1+23)3+x'+1. What is the slope of the graph of f (@) at x = 0? Use this result to

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(a) Consider the function f(x) = (1+23)3+x'+1. What is the slope of the graph of f (@) at x = 0? Use this result to write the linear approximation of f() around x = 0. Use the definition of differential to estimate the value f (0.1). (b) Let r and y be related by the equation ry? = 1. y2+ 2:2 Use implicit differentiate to obtain y' as a function of r and y. Compute the value of y' for x = y = 1

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