103年 - 103 國立成功大學轉學生招生考試試題_微積分_(理工系所聯招)#113219

(a) (6 points)

(b) (6 points)

(a) (6 points) Find f'(x)

(b) (6 points) Find extreme values of f(x)

3. (10 points)

(a) (6 points)

(b) (6 points)

(a) (6 points) Find the convergence set of

(b) (8 points)Evaluate

6. (10 points) Define
Prove that：

8. (10 points) Find the total arc length of the cardioid r = a(1-cosθ),a＞0.

9. (10 points) Use change of variablesto evaluate the integral , where