2008_solutions

# 2008_solutions - Name April 2008 Marks[21 1 Short-Answer...

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April 2008 Mathematics 101 Page 3 of 11 pages (d) Write down the Trapezoidal Rule approximation T 3 for 4 1 x cos( π/x ) dx . Leave your answer expressed as a sum involving cosines. Answer (e) Let f ( x ) = kx 2 (1 x ) if 0 x 1 and f ( x ) = 0 if x < 0 or x > 1. For what value of the positive constant k is f ( x ) a probability density function? Answer (f) Find the ±rst three nonzero terms in the power-series representation in powers of x (i.e. the Maclaurin series) for
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2008_solutions - Name April 2008 Marks[21 1 Short-Answer...

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