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研究所、轉學考(插大)-微積分
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95年 - 95 台灣聯合大學系統(清、交、陽、中四校聯招)學士班轉學生聯合招生試題：微積分#113220
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題組內容
8. Find the following limits.
(b)
其他申論題
6. Find the absolute maximum and minimum values of f(x,y,z) = 2x-2y + zsubject to the constraint x2+ y2 + z2 =1.
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(a)
#483770
(b) dx. Hint: for a ＞ 0,a ≠ 1.
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(a)
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9. Show that
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10 Consider the funetion f(x,y) = ax2 + βy2. Find values for a and β so that (a) (0,0) is a local minimum (b) (0,0) is a local maximum, and (c) (0,0) is a saddle.
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(a) (5%) The value g(1) must be 2. True or false? Answer:_____
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(b) (10%) The derivative g'(1)=_____
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(a) (5%) Let s(t) be the distance (in meters) between the two particles in t minutes. s(t)=_____
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(b) (10%) Suppose at t= t0 the two particles are closest to each other. Then t0=_____
#483779
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