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1. (1 point) Find the linearization L(x) of the function g(x) = x f(x?) at x = 2 given the following information. f(2) = 0 f' (2) = 12 f (4) =6 f'(4) =-3 Answer. L(x) = Z. (1 point) Let y = ex/2. Find the differential dy when x = 3 and dx = 0.4 Find the differential dy when x = 3 and dx = 0.01 3. (1 point) The edge of a cube was found to be 30 cm with a possible error in measurement of .1 cm. Use differentials to estimate the percentage error (to the nearest hundredth) in computing (a) the volume of the cube and (b) the surface area of the cube. a (b)