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Let f be the function defined as follows. y = f(x) = V 5x + 2 (a) Find the differential of f. dy = (b)

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Let f be the function defined as follows. y = f(x) = V 5x + 2 (a) Find the differential of f. dy = (b) Use your result from part (a) to find the approximate change in y if x changes from 4 to 4.1. (Round your answer to three decimal places.) dy = (c) Find the actual change in y if x changes from 4 to 4.1 and compare your result with that obtained in part (b). (Round your answer to three decimal places.) Ay =

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