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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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I. (50 points) Fill in the following blanks.
1. The value of
is__(1)__.
其他申論題
1. Evaluate the integral dydx.
#499424
2. Use a linear approximation for values of the function f(x, y) = 2x2 + 4y2 near the points (1, 2) to approximate the value of f(1.2, 2.1).
#499425
3.Find lnxdx.
#499426
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
2. Ifg(x)=x(ex2),then g'(x)=__(2)__.
#499429
3. The valuc of is__(3)__.
#499430
4. If=__(4)__.
#499431
5. Write down the range of a, which makes the series converge. __(5)__
#499432
6. If is the Taylor polynomial of order 4 generated by at 0, then the constant in front of x4, c4=__(6)__.
#499433
9. The domain ofis__(9)__.
#499434
is__(1)__.
is__(1)__.
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is__(1)__.