作者yangchris11 (歪彥)
看板NTU-Exam
標題[試題] 103-1 朱 樺 第六次小考
時間Tue Jan 6 22:17:29 2015
課程名稱︰微積分甲上
課程性質︰大一必修
課程教師︰朱樺
開課學院：工學院
開課系所︰材料系 電機系
考試日期（年月日）︰2014/12/29
考試時限（分鐘）：25分鐘
試題 :
CALCULUS QUIZ 6
Instructor: Professor Huah Chu
Quiz date: 29, December, 2014
Quiz time: 25 minutes
Total score: 24 points (Each problem is worth 3 points)
Let C be the curve defined by x^(2/3)+y^(2/3)=1 and R be the region enclosed
by C.
(a) Find the are of R.
(b) Find the length of the curve C.
(c) Find the volume of the solid generated by rotating R about the x-axis.
(d) Find the volume of the solud generated by rotating R about the y-axis.
(e) Find the area of the surface generated by rotating C about the x-axis.
(f) Find the area of the surface generated by rotating C about the y-axis.
(g) Determine the centroid of the curve C in the first quadrant.
(h) Determine the centroid of the region R in the first quadrabt.
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※ 編輯: yangchris11 (140.112.240.225), 01/06/2015 22:18:05
1F：推 fen1933 : (a) *area 01/08 18:21
2F：推 trees880098 : OP喔~ 01/14 05:47
3F：推 trees880098 : 對不起之前沒看到有補充，此篇將發獎勵金 02/15 23:14