Part 1

c) Find all values of a at which the tangent line to f is parallel to the line y = 5x + 2. -values(1 point) For the two functions below, find a function f(a ) whose derivative is the given function. a) g(x) = 3x + 2 The derivative of G(a) = is g( a). b) h(x) = 4 -7x-2 The derivative of H(x) = is h(x).{1 point} Abaseball is thrown into the air. The height. h, in meters, as a function of the time, t, in seconds. after the baseball is thrown is given by: h(t) = 74.9152 + 33: + 1. a] For how long is the baseball in the air? lime in the air: .:. seconds b) What is the average velocity of the baseball from the time it was thrown until two seconds have elapsed? Average velocity: 5E5 meters per second c) What is the instantaneous velocity of the baseball at time t = 2? Instantaneous velocity at time t : 2: EEE meters per second d) What is the acceleration of the baseball at time t = 2? Acceleration at time t = 2: 5:5 meters per second2 e) What is the maximum height the baseball reaches during its ight? ( Note: Since the graph of this function is a parabola, the maximum height should occur where the derivative is zero.) Maximum height: 55: meters I) How long has the baseball been in the air when it reaches its maximum height? 'l'ime until maximum height: 5;; seconds (1 point) Consider the graph of f(a) = 4 - 2 and its secant line on the interval -1