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研究所、轉學考(插大)-微積分
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96年 - 96 國立臺灣師範大學_學士班轉學生招生考試試題_機電工程學系二年級：微積分#122364
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6. Evaluate
dx. (15 分)
其他申論題
(a)-ax2 dx, a>0
#521150
(b)dx, a>0
#521151
4. Evaluate dx. (10 分)
#521152
5. Find the area of the region between the graphs of x = 3 - y² and x = y + 1. (10 分)
#521153
7. Find the curvature of the parabola given by y = x -x² at x = 2, and sketch the circle of curvature at (2, 1). (15 分)
#521155
8.** Let R be the region bounded by the square with vertices (0, 1), (1, 2), (2, 1), (1, 0). Evaluate the integral ((x + y)²sin²(x - y)) dA. (15 分)
#521156
(a) = ?
#521157
(b) dx = ?
#521158
(c) dx = ?
#521159
2. (10 分) Sketch the graph of the function f(x) =.(need to point out all critical points, inflection points, local minimum points, and local maximum points, e.t.c..)
#521160
dx. (15 分)
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dx. (15 分)