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：電資學院、工學院
開課系所︰電機系、材料系
考試日期（年月日）︰2014/12/29
考試時限（分鐘）：20 mins
試題 :
CALCULUS QUIZ 6
Instructor: Professor Huah Chu
Quiz date: 29, December, 2014
Quiz time: 20 minutes (備註: 但實際考試時,助教有延5分鐘收卷)
Total score: 24 points (Each problem is worth 3 points).
Department: Name: Student ID :
Let C be the curve dened by x^(2/3)+y^(2/3) = 1 and R be the region
enclosed by C.
(a) Find the area 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 solid 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.