16. 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? 17. Determine y' for y = (1+x)*. Problem 18. Rationalize the following denominators. First, state the conjugate radical if it exists. a. b. C. 6 7 4 10-7 3-2 3+2 19. a. A function f(x) is not continuous at the point with x-coordinate x = 2 because it is not defined there, although lim f(x)= 5 does exist. Can the function be redefined so that the function f(x) is continuous at that point? x+2 b. A function g(x) is not continuous at the point with x-coordinate x = 2 because it is not defined there, and lim g(x) does not exist. Can the function be redefined so that the function g(x) is continuous at that point? 2 20. What is the maximum number of possible horizontal tangents for h(x) = (x + 1)(x-x+1)? Explain.