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研究所、轉學考(插大)-微積分
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102年 - 102 國立成功大學轉學生招生考試試題_微積分_(理工系所聯招)#113218
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題組內容
6. (12%) Let f(x) = x
4
+ax
3
+b , and have a local exterme value of -17 at x=3 .
(a) Fine the value of a and b.
其他申論題
2. (10%) Let
#483740
3. (10%) Evaluate
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4. (10 %) Solve the differential equation:
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5. (12%)For , determine the interval of convergence and also find its sum.
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(b) Is that local extreme value maximal or minimal ?
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(c) Is there any inflection point of the graph of f ?
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7. (12 %) Two particles are free to move on the curves y=x2 and x-y=1, respectively. What are their positions when they are closest together ?
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8. (12%) Determine the values of a and b such that the ellipsecontains the circle (x-1)2 +y2 =1 and has least area .
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9. (12%) EvaluatedA , where R is the trapezoid in the xy plane bounded by the lines x=0, y=x, x+y=1 and x+y=2.
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(a) (6 points)
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