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89年 - 089 學士後西醫:微積分#84972
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題組內容
3. Evaluate the following integrals. (20%)
其他申論題
(b) If [x] denotes the greatest integer function, find.
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4. If f is a quadratic function such that f(0) =1 andis a rational function, find the value of f’(0). (10%)
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5. Find all functions f such that f’ is continuous andfor all real x. (10%)
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6. Find the maximum and minimum values of x – y + z if (x, y, z) lies on the sphere x2 + y2 + z2 = 1.(10%)
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7. Find the area of the bounded region enclosed by curves y = x3 – 1 and y = 3x2 – 2x – 1. (10%)
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