35010 Study Guide - Final Guide: Parallelogram, Arc Length, Algal Bloom

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15 Aug 2018
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To be returned at the end of the examination. This paper must not be removed from the exam centre. : three hours plus ten min. reading time. Question 1 (4+2+2+5+4+3 = 20 marks) (a) (i) A formula used in physics is s = ut + . Find u if s = 20. 1 , a = 9. 8, and t =3. 2. A line l passes through the point (1,2) and is parallel to the line y = 2x - 3. Find the equation of the line l. (c) 2 x -6x+5 x -16 x -2- x-5 (d) (i) Differentiate i(x) = e 2 x+l; (ii) differentiate i(x) = - : ; x (iii) evaluate f 1(/2. Find x correct to two decimal places if 7x+l -15 =o. (ii) If log2 16 = 3log2 y -log2 5 , find the exact value of y without a calculator. (f)