a. i. Show that = 7 s ii. Show that = 4.25. r [1+1=2 marks] The furthest point reached by the track in the positive direction occurs when = 1. Assume > 0. y x p b. i. Use this information to find in terms of q p. ii. Find (1) in terms of f p. iii. Find the value of in terms of for which = 0 where > 1. a p f a ′(a) iv. If = , show that = 0.25 and = -2.5. a p q [2 + 1 + 2 + 2 = 7 marks] For the following assume (x) = 0.25x3 2.5x2 + 4.25x + 7. f Find the exact coordinates of and c. D F.
a. i. Show that s = 7 ii. Show that r = 4.25. [1+1=2 marks] The furthest point reached by the track in the positive y direction occurs when x = 1. Assume p > 0. b. i. Use this information to find q in terms of p. ii. Find f (1) in terms of p. iii. Find the value of a in terms of p for which f ′(a) = 0 where a > 1. iv. If a = , show that p = 0.25 and q = -2.5. [2 + 1 + 2 + 2 = 7 marks] For the following assume f (x) = 0.25x3 2.5x2 + 4.25x + 7. c. Find the exact coordinates of D and F.
MM-4.1-2018-ASSIGNMENT-Part-A.docx