Answer the following with complete solutions please

1. A company has determined that the cost and revenue functions (both in dollars) of manufac turing and selling a calculators are given by C(x) = 4250 + 30r and R(x) = 120r -0.1x-, respectively. Use marginals to approximate the profit made after selling the 151st calculator. (2 points) 2. Consider f(r) = v2-r In(2r - 1). Use the local linear approximation of f(x) at To = 1 to estimate the value of v 1.02 In(0.96). (4 points) 3. A mother is sitting on a bench that is 30 ft from where her son is playing with a balloon. The son accidentally lets go of the balloon, and the balloon rises at a constant rate of 6 ft/s. Find the rate at which the angle of elevation from the mother to the balloon changes at the instant when the balloon is 60 ft from the mother. (4 points) 4. Evaluate lim (3r + e35):. (4 points)