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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:
(2). If a function is differentiable at a point, then it is continuous at that point.
其他申論題
8. Evaluate dA over the region ?? in the first quadrant bounded by the graphs of y = x2, x = 0, y = 4 (see Fig.1). (10%)
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9. Evaluate dxdy reversing the order of integration. (Hint: Draw the integration area first.) (10%)
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10. is the position vector of a moving particle. Find the speed at the time, . (10%)
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(1). A contnuous function f (x) is differentiable
#496840
(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
(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
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