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研究所、轉學考(插大)-微積分
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98年 - 98 國立暨南國際大學_轉學生入學考試試題_資工系二：微積分#124587
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1. (10%) Find an equation for the tangent line to the curve x³+y³=1+3xy² at (2,-1).
其他申論題
(b)並畫出 y = f(x) 的圖形。
#529863
3. (a)將 f(x) = ln(x) 表為在點 x = 1 展開的 Taylor 級數。
#529864
(b) 利用(a)的結果,求無窮級數的和。
#529865
4. 求= ?
#529866
2. (10%) Use a differential to estimate cos 46°. (=1.41421,π=3.14159)
#529868
3. (10%) Find the volume of the solid generated by revolving the regionbounded by y=x² and y=2x about the x-axis.
#529869
4. (10%) Definition: The function ln(x) = , x ＞ 0, is called the natural logarithm function. Prove that In(ab) = ln(a) + In(b) for a, b ＞ 0.
#529870
5. (10%) Find the function f(x), such that f(t)dt = -5.
#529871
6. (10%) Evaluate
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(a) (2%) Show that it is increasing.
#529873
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