阿摩線上測驗
登入
首頁
>
研究所、轉學考(插大)-微積分
>
108年 - 108 國立高雄師範大學學士班轉學生招生考試試題_數學系及光通系二年級：微積分#116353
>
題組內容
1. （30％）True or False:
(5). The absolute function f(x)=|x| is differentiable at x=0.
其他申論題
(1). A contnuous function f (x) is differentiable
#496840
(2). If a function is differentiable at a point, then it is continuous at that point.
#496841
(3). Let f (x) be a differentiable function. Then f '(x) must be continuous.
#496842
(4). The absolute function f(x)=|x| is continuous at x=0.
#496843
(6). f '(c)= 0 implies f (c) is an extreme value.
#496845
3. （10％）Find the global maximum and minimum values of x2+y2+2 on .
#496846
(a)
#496847
(b)
#496848
5. （15％）Evaluate the integral if C is a piecewise smooth simple closed curve oriented counterclockwise such that (a) C does not enclose the origin and (b)C encloses the origin.
#496849
6. （15％）Use the transformationu=xy ,v=x2-y2 to find where R is the region in the first quadrant that is enclosed by the hyperbolas x2-y2=1,x2-y2=4 and the circles x2+y2=9 , x2+y2=16.
#496850
阿摩線上測驗
登入
阿摩線上測驗
登入