Please answer all questions

You must show all your work to receive full credit. 1. (1 point) Find the equation of the tangent line to the curve below at the point 4. y = Vx + 1 Vx + 3 2. The monthly sales of Sunny Electronics' new sound system are given by q(t) = 6,000t - 6012 units per month, t months after its introduction. The price Sunny charges is p(t) = 3,000 - 12 dollars per sound system, t months after introduction. Answer the following questions. a) (1 point) Find the rate of change of monthly sales q'(t) . b) (1 point) Find the rate of change of the price p'(t). c) (1 point) Find the rate of change of monthly revenue 5 months after the introduction to the new sound system. d) (1 point) Interpret your answer from part (c). 2. (2 points) The price of crude oil during the period 2010-2020 can be approximated by P(t) = 0.3212 - 8.2t + 100 (0