104年 - 104 國立成功大學轉學生招生考試試題_微積分_(商管系所聯招)#113213

(a) (6 points)

(b) (6 points)

(c) (6 points)

(a) (6 points)

(b) (6 points)

3. (10 points)If , find the partial derivatives

4. (10 points)Evaluate

5. (10 points)Find the derivative of the function simplify where possible.

6. (10 points)Find the area of the polar region R, where R is bounded by the smaller loop of the curve r = 1 + 2cosθ.

7. (10 points)Find the interval of convergence of the series. Then identify the values of x for which the series converges absolutely or conditionally.

8. (10 points)In which direction from the point (1,1) is the directional derivative of f(x)=x²+y² zero?

9. (10 points)Determine and classify the stationary points of the function f(x,y)=x²+y³+6xy-7x-6y.

104年 - 104 國立成功大學轉學生招生考試試題_微積分_(商管系所聯招)#113213

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