Having trouble with these review questions.

Lesson 13 Content Exercises Question 13.1. Consider a particle in motion along a straight line. The position (in centimeters) of the particle t seconds after the start of observations can be modeled by s (t) = a cos(t) + tsin(t) + bet, where a and b are constants. Suppose the initial position of the particle is 7 cm and the initial velocity of the particle is -2 cm/s. Find the values of a and b. Justify your answers completely. Question 13.2. Let f(x) be a differentiable function such that f = -5 and f' 3 = 3. (a) Choose one of tan(x) or sec(x) and call it g(x). Then find p' where p(x) = f(x)g(x). (b) Choose one of csc(x) or cot(x) and call it h(x). Then find q' where q ( 2 ) = h (2 ) f (2) Review Exercise Question 13.3 (See Lessons 9). If the line y = 4x - 5 is tangent to the graph of f(x) at x = 3, find the values of f(3) and f'(3). Justify your