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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_電機工程學系二年級：微積分#118643
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二、
1. (8%) Prove that lim
x→2
(3x-1) = 5.
其他申論題
1. (12%) Compute xdx.
#506137
2. (12%) Find the area enclosed by the equation
#506138
3. (12%) Compute dx.
#506139
4. (14%) Use Simpson's rule with n=10 to approximately compute
#506140
2. (8%) Show that the function is continuous on the interval [-2,2].
#506142
3. (8%) Show that the function f(x) = x2 - x + 1 is differentiable for
#506143
4. (8%) Suppose that f(0) = 0 and f'(x) ≥ 6 for . How small can f(100) possibly be? (Hint: the Mean Value Theorem)
#506144
5. (6%) Find y' if x4+ y4 =8xy2.
#506145
6. (6%) Find y' if y = cos(x cos x).
#506146
7. (6%) Find y' if
#506147
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