S(1! - Vi+ 2x)di bj (4 points) Find the area of the shaded region pictured here: 18 18 10 VI - 20 14 10 12At one McDonald's restaurant, the daily demand for cheeseburgers is given by q : 300 2;) where p is the price {in dollars) for a cheeseburger. and q is the number of cheeseburgers sold by the store in a single day. a. (5 points) What is the formula for the price elasticity of demand when cheeseburgers are priced at p dollars each? b. (5 points) What is the price elasticity of demand at a price of $1 per cheeseburger? Interpret your answer. c. (5 points] How much should this McDonalds charge for a cheeseburger to maximize daily revenue? Please give a one or two sentence summary on how you found this answer. Consider the following function: f(a:) : 316" + 100:1: + 1800 I a. (2 point) What is the domain of f(:12)? b. (2 point) Find the derivative of f(.'12). c. {2 point] Identify all stationary points of f(:r:) (if there are none. state why) (1. (2 point) Identify all singular points of f(:l:). (if there are none, state why] e. (2 point) Identify all endpoints of f(a;'). (if there are none, state why) A function f (a ) has a stationary point at a = 1 and f"' (ac ) = ac3 - 2x - 1 . Then what type of extremum does f (a ) have at a = 1? Explain your answer for full credit, including an explanation of what technique from class you used