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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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題組內容
4. (12 pts) Let f : [0, 1]→ R be a continuously differentiable function.
(a) Show that
其他申論題
(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
3. (10 pts) Determine whether the series is convergent or divergent.
#446270
(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
2. Urban dwellers in almost any part of the world tend to look down on peasants as unsophisticated country bumpkins. This is often the case, even when the urban dwellers themselves are former peasants.
#446277
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