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MATH1151 week3c2 - x = 1 − 2 sin 2 x = 2 cos 2 x − 1...

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Time allowed: 15 minutes. 1. (2 marks) On the same axes, sketch the graphs of y = | 2 x 7 | and y = 3 x 2. Hence, or otherwise, solve | 2 x 7 | = 3 x 2. 2. (2 marks) Show that f ( x ) = x 3 + 6 x 2 + 15 x + 3 has an inverse function. 3. (4 marks) Determine a, b, c, d such that sin π 8 = a + b 2 and cos π 8 = c + d 2. 4. (2 marks) Find d dx cosh(sin x ). Week 3 Tuesday 10-11 Class
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