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研究所、轉學考(插大)-微積分
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111年 - 111 國立臺北大學日間學士班轉學生招生考試試題_經濟學系日間學士班二年級：微積分#116873
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4. If
=__(4)__.
其他申論題
4. Find the volume of the solid obtained by rotating the region bounded by the graphs ofand g(x) =x2 about the x-axis.
#499427
I. (50 points) Fill in the following blanks.1. The value of is__(1)__.
#499428
2. Ifg(x)=x(ex2),then g'(x)=__(2)__.
#499429
3. The valuc of is__(3)__.
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5. Write down the range of a, which makes the series converge. __(5)__
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6. If is the Taylor polynomial of order 4 generated by at 0, then the constant in front of x4, c4=__(6)__.
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9. The domain ofis__(9)__.
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10. If f(x)=x+cosx,then=__(10)__.
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II. (50 points) Fill in the following blanks.1. If the integraland c≥0, then the value of c equals __(1)__.
#499436
2. The area of the region bounded by the curves x=1-y2 and x=y2-1 is__(2)__.
#499437
=__(4)__.
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=__(4)__.