作者NBASCIDM (战神)
看板NTU-Exam
标题[试题] 97上 黄汉水 微甲上 第四次小考
时间Fri Jan 9 12:12:30 2009
课程名称︰微积分(甲)上
课程性质︰大一共同必修
课程教师︰黄汉水
开课学院:生农学院.理学院.管院
开课系所︰生机系.生工系.地质系.工管系(科技管理组)
考试日期(年月日)︰2009/01/09
考试时限(分钟):90 minutes
是否需发放奖励金:yes,thanks
(如未明确表示,则不予发放)
试题 :
一.Find the following integrals:
2 2 4x^2 + x + 2
(1)∫tln(t+1)dt (20 points) (2)∫──────── dx (20 points)
0 1 x^2 + x^3
二.Let D be the region bounded by the curves y=2x^2 , y=x^3.
(1)Find the area of D. (20 points)
(2)Find the centroid of the region D. (20 points)
三.Let D be the region bounded by the curves y=e^x, y=1, x=1
Find the volume of the solid generated by revolving the region D about the
line y=1. (20 points)
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※ 编辑: NBASCIDM 来自: 140.112.183.84 (01/09 12:13)
1F:推 afflic :确定答案: 01/10 02:43
2F:→ afflic :1.(1) (3/2)ln3 01/10 02:44
3F:→ afflic :1.(2) -6ln2+5ln3+1 01/10 02:44
4F:→ afflic :2.(1) 4/3 01/10 02:44
5F:→ afflic :2.(2) (6/5,96/35) 01/10 02:45
6F:→ afflic :3. 1/2πe^2-2πe+5π/2 01/10 02:46
7F:→ NBASCIDM :这次助教再莫名其妙扣我五分我就要抓狂了!!!!!!!!!! 01/11 21:08
8F:推 answertw :我也是 01/11 23:59
9F:推 linbigheads :这次不是我改的XD 01/18 19:28
10F:推 afflic :助教现身了?! 01/22 17:31