SECTION A (50 marks)Answer all questions in this section1. Solve the follwing equations.(a) (2x + 3)(2x - 1) = 5(5 - x)(b) 12x2 - kx = 15, where k is a constant, leaving your answers in terms of k and in surd form if necessary. Answer (a)……………………………………[2] (b)……………………………………[2]2. Given that
, find the value of
Answer ……………………………………[4]3. Given that 1 - 5x ( 2 (
and 1 ( 2y ( 6, find the range in which
must lie. Answer ……………………………………[4]4. If x varies directly as the cube of y and the square of y varies inversely as the cube of z, prove that x2z9 is a constant. Answer ……………………………………[4]5. In each of the following, the graph of f(x) is given. On the same axes, sketch and label the graph of g(x). Indicate clearly the x-intercept(s), y-intercept and asymptote, where applicable. (a) f(x) = x2 g(x) = f(x) + 2 [1] (b) f(x) = x(x - 2)(x -...