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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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4. Evaluate
dx. (10 分)
其他申論題
1.Please prove the derivative of Sine function by the limit definition of the derivative. (10 分)[sin x] / dx = cos x
#521148
2. Find the tangent line to the graph given by x²(x² + y²) = y² at the point (), as shown in Figure 1. (15 分)
#521149
(a)-ax2 dx, a>0
#521150
(b)dx, a>0
#521151
5. Find the area of the region between the graphs of x = 3 - y² and x = y + 1. (10 分)
#521153
6. Evaluate dx. (15 分)
#521154
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
dx. (10 分)
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dx. (10 分)