(3) (b) Given that = + show that = f′ x p, p – –4. (4) (c) Find f(x). (7) (Total 14 marks) 6. The acceleration, m s–2, of a particle at time seconds is given by a t = + 3sin 2t, for 1. a t ≥ The particle is at rest when = 1. t Find the velocity of the particle when = 5. t (Total 7 marks) 7. The function is such that (x) = 2x 2. f f  – When the graph of is drawn, it has a minimum point at (3, f –7). (a) Show that (x) = 2x 3 and hence find (x). f x2 f – – (6) (b) Find (0), (–1) and (–1). f f f (3)
(3) (b) Given that f′ = – x + p, show that p = –4. (4) (c) Find f(x). (7) (Total 14 marks) 6. The acceleration, a m s–2, of a particle at time t seconds is given by a = + 3sin 2t, for t ≥ 1. The particle is at rest when t = 1. Find the velocity of the particle when t = 5. (Total 7 marks) 7. The function f is such that f  (x) = 2x – 2. When the graph of f is drawn, it has a minimum point at (3, –7). (a) Show that f (x) = x2 – 2x – 3 and hence find f (x). (6) (b) Find f (0), f (–1) and f (–1). (3)
semester_1_review.docx