Linear approximations and anti derivatives

1. Find the linearization of the given function at the given point, then use it to approximate the given value. Round your answers to 4 decimal places. (a) f(x) = Vx at x = 125 to approximate V127 (b) g(x) = Vx+7 at x = 9 to approximate v17 2. Suppose that the total cost of production of a certain item is given by C(x) = 0.04x3 - 0.6x2 + 32x + 96 with x the number of items produced. Suppose also that the demand function is p(x) = 132 - 2.6x. (Round your answers to 2 decimal places if needed) (a) Find the marginal cost function. (b) Find the profit function P(x). (c) Find the production level that will maximize profit