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研究所、轉學考(插大)-微積分
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104年 - 104 國立臺北大學學士班暨進修學士班轉學生招生考試試題_經濟學系學士班暨進修學士班二年級：微積分#116801
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I. (50 points) Fill in the following blanks.
1. Find the Taylor series of In(1+x)centered at x=0, __(1)__.
其他申論題
3. Let function f(x)=3x5-5x3 has domain , then its global maximum is at __(4)__ on D1. Let function g(x)=3x+5+ has domain D2 =[1,10], then its global minimum is at__(5)__on D2.
#499116
4. Suppose f(x)=x3 and x=(z-1)(z+1).Then =__(6)__.(Please express it in z.)Suppose =__ (7)__ . (Please express it in z.) .
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5. Suppose .Then f"(x)=__(8)__.
#499118
6. The value of sin(x2)dx is__(9)__ , and the value ofxIn xdx is__(10)__.
#499119
2. Suppose f(x, y)=4e-2(x+y),0＜x,y＜∞.Weknow that w=x+y.Then f(w)=_________.
#499121
3. Let f be an integrable function on [a,b] and a＜d ＜b. Suppose and=__(3)__.
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4. The value of is__(4)__.
#499123
5. The value of is__(5)__.
#499124
i.
#499125
ii.
#499126
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