100年 - 100 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#119715

2. (12%) Find the tangent line of the given curve at the given point:

3.(122) Compute

4.(12%) Compute

5. (12%) Let S be the solid obtained by rotating the region shown in the figure about the y-axis. Compute the volume of S.

6. (12%) Find the sum of the series correct to three decimal places.

7. (12%) What is the maximum eror possible in using the approximation

8. (16%) Use the given table of values of f(x,y) to estimate the values of f_x(3,2), f_x(3,1.8), f_xy(3,2),and f_yx(3,2).