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97年 - 97 國立暨南國際大學_轉學生入學考試試題_應化系二:微積分#124595
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題組內容
2. Evaluate the following integrals:
(d)
dy dx (10%)
其他申論題
1. A right triangle is formed by the coordinate axes and a line through the point (2, 5). Express the area of the triangle as a function of the x-intercept and calculate the minimal area of the triangle. (20%)
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(a) ∫e2ˣ sin 2x dx (10%)
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(b)dx (10%)
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(c)(10%)
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(a) From the Newton's second law, F=ma, solve the differential equation to find v = v(t). (10%)
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(b) What happens to v(t) as t→∞. (10%)
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4. Show that the f function (f(x, y, z) =) satisfies Laplace's equation in three dimensions. (20%)
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1.=________
#529933
2.=________
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3.=________
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