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研究所、轉學考(插大)-微積分
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110年 - 110 國立清華大學碩士班考試入學試題_科技管理研究所／乙組：微積分#105239
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3. (10 pts) Determine whether the series
is convergent or divergent.
其他申論題
(d) Find the indeinite integral xdx. Ans:___________
#446266
(e) Evaluste the double integral. Ans:__________
#446267
(f) Solve the initial-value problem: Ans:_____________
#446268
2. (9 pts) For what values of the constants a and b is a point of infection of the curve y = an + bsin g + cos x ?
#446269
(a) Show that
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(b) Show that
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5. (12 pts) If the ellipse is to enclose the circle x2+ y2 = 2y, what values of a and b mininize the area of the ellipse ?
#446273
(a) Show that the function is monotone decreasing on (1,∞).
#446274
(b) Find .
#446275
1. Some functionalists argue that a cultural practice will not persist unless it fulfils a function for that culture. There are numerous customs that exist of have existed, however, that have no apparent reason behind them.
#446276
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