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109年 - 109 國立高雄師範大學轉學生招生考試試題_電機工程學系二年級:微積分#116352
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10.
is the position vector of a moving particle. Find the speed at the time,
. (10%)
其他申論題
6. Evaluatedt. (10%)
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7. Evaluateydx, where x = 2t − 1 and y = t2 + 2. (10%)
#496836
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%)
#496837
9. Evaluate dxdy reversing the order of integration. (Hint: Draw the integration area first.) (10%)
#496838
(1). A contnuous function f (x) is differentiable
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(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.
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(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