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研究所、轉學考(插大)-微積分
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108年 - 108 國立臺灣大學轉學生招生考試試題_理工科聯招：微積分(B)#110855
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題組內容
5. Calculate the following integrals:
．
=__(6)__.
其他申論題
．=___ (2)__.
#474815
2. The graph of f(x) = has an inflection point at x =__ (3)__.
#474816
3. If x5+ y5 = 33,then =__(4)__.
#474817
4. If x,then f(3)=__ (5)__.
#474818
．=__(7)__ .(Hint: Useu=)
#474820
dx = __(8)__ .
#474821
6. The integraldx converges if and only if a is in the interval__(9)__.
#474822
7. Suppose that y' = xy - x with y(0) = 2, then y(2)= __(10)__.
#474823
8. Suppose that y'+ y = 2cos x with y(0)= 2, then =__(11)__.
#474824
9. Let R be the region below the curve y = sin2 x when 0 ≤ x ≤π and V be the volume of the solid obtained by rotating R about the y-axis. Then V = __(12)__.
#474825
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=__(6)__.