Mock 2017 0.0 / 5 ? MathematicsCore 3A2/A-levelOCR Created by: nicktoveyCreated on: 26-02-17 20:39 Intergrate (2x - 1/x)^2 .dx 4x - 4lnx - x^(-1) + K 1 of 5 Give the general formula for Exponential growth/decay y(t) = a × e^(kt). [Where, a = value at the start, k = rate of growth/decay, t= time] 2 of 5 Show that the lines y= e^(2x) and y= 8e^(-x) intersect at the point where x= ln2 e^(2x) = 8e^(-x), ln(e^(2x)) = ln(8e^(-x)), ln(e^(2x))= ln(8) + ln(e^(-x)), ln(e^(2x))= ln(2^(3)) + ln([e^(x)]^(-1), 2x= 3ln2 - x, x= ln2 3 of 5 Give the general formula for the differentiation of y= ln(f(x)) dy/dx = f '(x) / f(x) 4 of 5 Draw graph of sin^(-1) and cosec(x) [cos and tan equivalents] Correct graphs drawn (see pages 90 and 107 in textbook for details) 5 of 5
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