1. A ball is thrown straight upward. The height of the ball above ground in meters can be described by the function (t) = -4.9 + 16+ 2, where t is the number of seconds after the ball has been released. At what rate is the height of the ball changing at 1 = 2 s? [2] 2. The monthly revenue function for a company is R(x) = x(-0.25x +7.5x+ 18.75). The revenue is in thousands of dollars, and x represents thousands of products produced. This revenue model is valid for 0 x 32. At what rate is the revenue changing when the company produces 4000 of its product? [3] 3. The population of a rabbits in a controlled system can be described by P(x)= x + 18x+ 19, where x is the number of years after the population was first tracked. a. What is the meaning of p'(x) for this scenario? [1] b. p'(11)= -4. Explain what this means. [2] 2. The monthly revenue function for a company is R(x) = x(-0.25x +7.5x+ 18.75). The revenue is in thousands of dollars, and x represents thousands of products produced. This revenue model is valid for 0 x 32. At what rate is the revenue changing when the company produces 4000 of its product? [3] 3. The population of a rabbits in a controlled system can be described by P(x)= x + 18x+ 19, where x is the number of years after the population was first tracked. a. What is the meaning of p'(x) for this scenario? [1] b. p'(11)= -4. Explain what this means. [2]