[試題] 107_2 微甲 官彥良 第三次小考

[Akkusaii3741 (我愛吃烤雞)]

課程名稱︰微積分甲下
課程性質︰微積分
課程教師︰官彥良
開課學院：工管、生工

試題 :
(1)Find all critical points of the function f(x,y) = xye^(-x^2-y^2)
and classifiy them.


(2)Evaluate the folloing intergrals:
  (a)∫(0,1)∫(x^2,1) sqrt(y)sin(y) dy dx

  (b)∫(1,sqrt(2))∫(0,sqrt(2-y^2)) (x+y) / (x^2+y^2) dx dy+
     ∫(0,1)∫(1-y,1) (x+y) / (x^2+y^2) dx dy +
     ∫(1,sqrt(2))∫(0,sqrt(2-x^2)) (x+y) / (x^2+y^2) dx dy


(3)Find points on the intersection of plane x + y + 2z = 2 and
the paraboloid z = x^2 + y^2 that are nearest and farthest from the origin.


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→ Akkusaii3741: 發完才發現不小心op...怎麼辦XD
※ 編輯: Akkusaii3741 (140.112.229.234), 04/18/2019 19:47:16
推 obCHU724ov  : QQ
推 unmolk      : 而且標題還亂打XD
改了 xD抱歉 但其實我不知道op會怎樣
※ 編輯: Akkusaii3741 (101.13.192.211), 04/19/2019 16:09:26