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研究所、轉學考(插大)-微積分
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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
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題組內容
1. （30％）True or False:
(4). The absolute function f(x)=|x| is continuous at x=0.
其他申論題
10. is the position vector of a moving particle. Find the speed at the time, . (10%)
#496839
(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
(5). The absolute function f(x)=|x| is differentiable at x=0.
#496844
(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
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