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1.Please prove the derivative of Sine function by the limit definition of the derivative. (10 分)
[sin x] / dx = cos x

其他申論題

3. Find the maximum and minimum values of the function shown below and the corresponding values of x on the given interval., x in [-1,1] (20 分)

4. Find the sum of the following series: (10 分)

5. Find the equation of the plane that contains the line of intersection of the planes x+y+z=0 and 2x+y-3z=2, and passes through point (2,0,1). (10 分)

2. Find the tangent line to the graph given by x²(x² + y²) = y² at the point (), as shown in Figure 1. (15 分)

(a)-ax2 dx, a>0

4. Evaluate dx. (10 分)

5. Find the area of the region between the graphs of x = 3 - y² and x = y + 1. (10 分)

6. Evaluate dx. (15 分)

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