1. Data taken from a certain speed camera outside of Front Street and shows that trafc speed S, in mph, varies as a function of the trafc density q(in cars per mile) at that point on the road. What is the practical meaning of the quantity 51120). Give a brief but complete one or two sentence explanation that is understandable to someone not familiar with calculus. 2. Provide an example of a quadratic function of the form y = at:2 + bx + C so that a tangent line exists a horizontal tan gent exists at x = 2. Explain! show your work why your function works 3. What error was made when attempting to take the derivative of y = (:l:2 + 2x 3)? Provide the correct derivative. 33' = 3(2x + 2)2 4. Is it possible to find the equation of a tangent line to the function y = (x - 3)2 -2 at the point (3,0)? Explain