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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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16. The volume of the solid described by x
2
+ y
2
≤1 and x
2
+ y
2
+z
2
≤ 4 is __(21)__.
其他申論題
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
15. yzcos(x3-1)dx dy dz= __(20)__.
#474833
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
20. The flux of the vector field = (siny+x3,3yz2 +e,3zy2) through the surface x2+y2+z2 = 1, z ≥ 0, where the surface is equipped with the upward normal, is__(25)__.
#474838
1.試求極限=________
#474839
2.試求定積分=________
#474840
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