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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
13. Let
= (e
t
cost,e
t
sint,e
t
), -1≤t≤1.
ㆍ The curvature at the point t = 0 is __(18)__.
其他申論題
•=___(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
14. The shortest distance from the origin to the paraboloid z =is__(19)__.
#474832
15. yzcos(x3-1)dx dy dz= __(20)__.
#474833
16. The volume of the solid described by x2 + y2 ≤1 and x2+ y2+z2≤ 4 is __(21)__.
#474834
17. The area of the surface x2 +y2 +z2 =4,(x-1)2+y2≤1,is__(22)__.
#474835
18. Let = (siny, xcosy + cosz,-ysinz), C : =(sint,cost,2t),0≤t≤π.__ (23)__ .
#474836
19. Let C be the curve consisting of line segments from (0,0) to (2,1) to (1,2) to (0,0).=__(24)__.
#474837
= (etcost,etsint,et), -1≤t≤1.
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= (etcost,etsint,et), -1≤t≤1.