103年 - 103 國立中山大學轉學生招生考試試題_機電系、材光系二年級：微積分#115939

1.(10 points) Calculate dx

3.(10 points) Determine whether or not f(x,y) has a limit at (1,1)
 

4.(20 points) Let Ω be the first-quadrant rregion bounded by the curves: 

x²+y²=4，x²+y²=16，x²-y²=1,x²-y²=4
Evaluate 

5.(20 points) Evaluate the line integral

where C is the oriented counter clockwise square with vertices (0,0) (1,0) (1,1) (0,1)