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SECTION A Attempt ALL questions in this section. A1. Sketch the graph of the rational function given by 2 33) = W (a; 75 1)_

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SECTION A Attempt ALL questions in this section. A1. Sketch the graph of the rational function given by 2 \"33) = W (a; 75 1)_ 331 Determine the intercepts and the asymptotes. Include all of these in your sketch. Finding the local maxima and minima is not required to get full marks. [8] A2. (a) Find the stationary points of the function, g(x) = coszc + sins, (35 E [0,21r]). Classify each stationary point as either a local maximum or a local minimum. [6] (1)) Compute the first three terms of the Maclaurin series for the function f(:(:) = 632/2. Use the resulting quadratic polynomial to approximate f (1 /3) [6] A3. (a) Represent 1 + i in the form 1 + i : rem where r and 19 are real numbers with r > 0 and U S 9

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