99年 - 99 國立中興大學轉學考招生考試_化學二、物理二、資工二:微積分#110878

(a)

(b)

2. If f(x)= , where g(x)= di,find f'(π/2). (10%)

4. Findf, if f(x)=cos(x³). (10%)

(a) (20%)

(b)

6.Find the area of the surface obtained by rotating the curve x=2cos³θ，y=2sin³θ, 0≤θ ≤π/2 about the x-axis. (10%)

7. At what points does the curve x = 2cost - cos 2t, y= 2sint -sin 2t, 0≤t ≤3π/2 have vertical or horizontal tangents? (10%)

8. Find the radius of convergence and interval of convergence of the series. (10%)

9. Evaluate the iterated integral dvdu. (10%)