[考題] 106 微積分

看板Coming_EE作者AUGnebulaUGA (去氧腺嘌呤核苷酸三磷酸)時間7年前 (2017/07/18 19:59)推噓4(4推 0噓 0→)

留言4則, 4人參與討論串1/1

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. ----------------------------------------------------------------------------- 話說這張考卷的排版真的超不整齊的有失專業 =^= -- ※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 140.112.249.124 ※ 文章網址: https://www.ptt.cc/bbs/Coming_EE/M.1500379152.A.35E.html ※ 編輯: AUGnebulaUGA (140.112.249.124), 07/18/2017 19:59:57 ※ 編輯: AUGnebulaUGA (140.112.249.124), 07/18/2017 20:03:18

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l061182

07/18 20:17, , 1^F

07/18 20:17, 1^F

※ AUGnebulaUGA:轉錄至看板 DoubleMajor 07/18 20:19

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loverTH

07/18 20:20, , 2^F

07/18 20:20, 2^F

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yuanyuan0123

07/19 10:04, , 3^F