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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
10. Find the sum
•
=__(13)__.
其他申論題
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
•=___(14)__
#474827
11. The 3th nonzero term in the Maclaurin series of In(2x3 + 5) is__ (15)__.
#474828
12. The 3rd nonzero term of the Mclaurin series of the function , is __(16)__.
#474829
ㆍThe length of the curve is__(17)__.
#474830
ㆍ The curvature at the point t = 0 is __(18)__.
#474831
14. The shortest distance from the origin to the paraboloid z =is__(19)__.
#474832
=__(13)__.
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=__(13)__.