Mathematics 1225A/B : 1225BW05W06.pdf

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Note: your answers to the problems in part a must be. Only the (scantron) answer sheet will be marked for part: extra time will not be given for coding answers at the end of the exam. Simplify log2 36 log2 4 log2 27. If f (x) = x ln x then f (e) = If f (x) = 32x nd f (x). If f (x) = xln x nd f (x). Given that f (x) = xex, f (x) = (x + 1)ex and f (x) = (x + 2)ex, nd the interval on which f (x) is increasing. If f (x) = 3x2 + 3 and f (0) = 4 then f (1) = 3 (x + 1)3 + c c: (x + 1)3. + c e: ln|x + 1| + c. A: 4 ln(x2 + 1) + c b: 2 ln(x2 + 1) + c c: 4 ln|x| + 2x2 + c.

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