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研究所、轉學考(插大)-微積分
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108年 - 108 國立臺北大學日間學士班轉學生招生考試_統計學系日間學士班二年級：微積分#116784
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題組內容
2. Let
(a) (7%) Show that f is continuous at 1.
其他申論題
4. 若有一河川中游水源 COD 為 50 mg/L、BOD 為 0 mg/L、總菌落數為 0 CFU/mL， 試推論該水質是否適合作為自來水水源，並說明原因?
#498999
5. 試說明我國自來水是否應全部改採薄膜處理？
#499000
(a) (10%) If f(1)=18 is a relative maximum and f(-3)= -14 is a relative of minimum f, please find f(x).
#499001
(b) ( 5%) Find the value of k so that (k, f(k))is a point of inflection of f(x).
#499002
(b) (8%) Show that f is differentiable at 1.
#499004
(a)(6%) Let . Find ,where x＞0.
#499005
(b) (7%)Let f(x)=x3+x+1. Find (f-1)'(3).
#499006
(c) (7%) Find
#499007
(a) (5%) Find the level curve of f(x,y)=0.
#499008
(b) (7%) Find ∇f(1,-2), the gradient of f(x,y) at(1,-2).
#499009
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