作者AUGnebulaUGA (去氧腺嘌呤核苷酸三磷酸)
看板DoubleMajor
标题Fw: [试题] 106 电机系 微积分
时间Tue Jul 18 20:19:59 2017
※ [本文转录自 Coming_EE 看板 #1PRVWGDU ]
作者: AUGnebulaUGA (去氧腺嘌呤核苷酸三磷酸) 看板: Coming_EE
标题: [考题] 106 微积分
时间: Tue Jul 18 19:59:10 2017
1. (10%) Find lim_{x->2} (x^3-8)/(x^2-4).
2. (10%) Show that x(t)=abs{t*sin(t)/(t^2+2)} is continuous for every number
of x.
3. (10%) Find df(t)/dt if f(t)=(t-1)(t^2-2t)/t^4.
4. (10%) Graph the function y=x+1/x on x-y plane.
5. (10%) Estimate f(1) if df(x)/dx=1/(5-x^2) and f(0)=2.
6. (10%) Find dy/dx if y=int_{0}^{x^2} cos(t) dt.
7. (10%) Find the inverse of: y=1/4*x+3.
8. (10%) Evaluate int_{1}^{4} 1/(sqrt{x}(1+sqrt{x}) dx.
9. (10%) Evaluate int_{0}^{pi/2} cos^4(x)sin^3(x) dx.
10. (10%) Find the Maclaurin series of sin(x). Prove that the series equal to
sin(x) for all x.
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话说这张考卷的排版真的超不整齐的有失专业 =^=
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※ 编辑: AUGnebulaUGA (140.112.249.124), 07/18/2017 19:59:57
※ 编辑: AUGnebulaUGA (140.112.249.124), 07/18/2017 20:03:18
1F：推 l061182: 推 考题很像剪下贴上的 07/18 20:17
※ 发信站: 批踢踢实业坊(ptt.cc)
※ 转录者: AUGnebulaUGA (140.112.249.124), 07/18/2017 20:19:59
※ 编辑: AUGnebulaUGA (140.112.249.124), 07/19/2017 14:41:56