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研究所、轉學考(插大)-微積分
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107年 - 107 國立臺北大學_轉學生招生考試試題_通訊工程學系二年級：微積分#118609
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題組內容
二、
1. (8%) Prove that lim
x→2
(3x-1)= 5.
其他申論題
1. (12%) Compute xdx.
#506126
2. (12%) Find the area enclosed by the equation .
#506127
3. (12%) Compute dx.
#506128
4. (14%) Use Simpson's rule with n=10 to approximately compute
#506129
2. (8%) Show that the function is continuous on the interval [-2,2].
#506131
3. (8%) Show that the function f(x) = x2 -x + 1 is differentiable for
#506132
4. (8%) Suppose that f(0) = 0 and f'(x) ≥6 for . How small can f(100) possibly be?(Hint: the Mean Value Theorem)
#506133
5. (6%) Find y' if x4 +y4 =8xy2.
#506134
6. (6%) Find y' if y = cos(xcos x).
#506135
7. (6%) Find y' if
#506136
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