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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 ?

其他申論題

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 ?

3. (10 pts) Determine whether the series is convergent or divergent.

(a) Show that the function is monotone decreasing on (1,∞).

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.

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.

3. During much of the twentieth century, most anthropologists assumed that they had little to gain from studying Karl Marx. Nearly all of his writing focused on industrial capitalist societies, while anthropologists typically studied non- capitalist societies.

1.到目前為止,台灣防疫的工作,做得非常成功,主要的原因是大家都能在公共場所戴口罩,儘量保持安全距離。

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