1. ($3.5) Consider the equation y' = ry - 2 + 1 whose graph is shown below. a. (10pts) Find the derivative y' of the equation above using implicit differentiation. b. (5pts) Use your answer in part a to find the equation of the tangent line of the point (-1, 0). Sketch the point and tangent line with the graph below. 2 1.5 -0.6 -2 -15 05 0 0.5 1.5 2 -0.5 -1.5 -22. ($3.5, 5pts each) Find the derivative y' of each equation below using implicit differentiation. a. r - y = 4e" b. In(y) = 2y' - I c. re - y = r' - 23. ($3.7) The price p and demand r of a yet-to-be released sneaker are related by the following price- demand equation: 5x + 250p = 50000. a. (15pts) Find the elasticity of demand E(p) for this product. b. (5pts) Use your answer in part a to find E(40), E(100), and E(150). Interpret how each answer relates to the revenue of the product