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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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18. Let
= (siny, xcosy + cosz,-ysinz), C :
=(sint,cost,2t),0≤t≤π.
__ (23)__ .
其他申論題
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
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
3.設方程式3-6x+6x2-4x3=0有p個實根且方程式3-6x+6x2-4x3+2x4=0有q個實根,試求(p,q)=________
#474841
4.設D為拋物y=4x-x2直線y=mx所成的區域,其中m<2,若直線x=k將D分割成面積相等的兩部分,則k=_______
#474842
= (siny, xcosy + cosz,-ysinz), C : 
=(sint,cost,2t),0≤t≤π.
__ (23)__ .
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= (siny, xcosy + cosz,-ysinz), C : =(sint,cost,2t),0≤t≤π.__ (23)__ .