MUF0091 Mathematics Unit 1 Test 2 Question 2 2/2015 a) If logka = 0.3, logkb = 2.4 and logic = -0.5 , find the value of logk ("cz). . . . .. ...... . . . ... ...... ..... . . . . . . ..... ...... . . . . . ......... b) Solve for x if 22x - 2x+1 = 15 . Give your answer(s) in exact form. . . . .. . ... ..... . . . . . . ... . . . . . . .. . . . . . . ... . . . .MUFO091 Mathematics Unit 1 Test 2 (Question 2 is continued from previous page) 2/2015 c) Find all exact values of x E [0,2x] for which 4 sin 2x - 2 = 0. . . . . . . . . .. . . . . ....... . . . .... . . . . . . ... ..... . . . . .... . . . . . . . .......... . . . . . . . . (2+ 3+4 =9 markMUFO091 Mathematics Unit 1 Question 4 Test 2 2/2015 Consider the exponential function f(x) = aex-2 + k , where a > 0. (a) If the asymptote of f (x) is on the x axis, find the value of k. S . . . . ... b) Give the domain and range of f (x). . . . .. unda . . . . ial, L (c) The graph of f (x) passes through the point (0, _). Show that the exact value of a is , of 1g . . .. . . . . . .. . . . .. . . . . . . . .. (1+2 +3 =6 marks) Blank PageMUFY Mathematics Unit 1 - Test 2 January-June 2017 Section B Question 6 [SLO1, SLO2, SLO3] (4 + 4 = 8 marks) (a) Sketch on the same diagram, the curves y = sin (2x) and y = cosx - 1 for 0