95年 - 95 國立成功大學轉學生招生考試試題_全校:微積分#114288

(a)

(b)

(b) Find (f^-1)'(0).

3. Compure the improper inegal In x dx.

4. Find the radius of convergence of the infinite series

5. Let f be a real valued function defined on R with f"(x) ＞ 0 for all x. Show that

f(x)≥f'(0)x+ f(0) for all x.

6 Compuce the iceraced inegal sin(x²+ y²)dydx.

7. Find the local extreme values of the function

for xy≠0.

9. Find the area of the region Ωbounded by the curves x² - 4xy + 4y² -2x -y-1 = 0 and y= .