99年 - 99 東吳大學轉學生(含進修學士班)招生考試試題_經濟學系二年級：微積分#116656

科目：研究所、轉學考(插大)-微積分 | 年份：99年 | 選擇題數：0 | 申論題數：12

試卷資訊

所屬科目：研究所、轉學考(插大)-微積分

選擇題 (0)

申論題 (12)

(a)

(b)

2. Find the interval of convergence of the power series. (10%)

3. Prove that for any real x. (10%)

4. Find the general solution of the following equation. (10%)

(a)

(b)

6. Find the local maximum and minimum values and saddle point(s) of the function.

f(x,y)=xy(1-x-y) (10%)

7. Locate any extreme of the function by using Lagrange multiplier.(10%)

f(x,y,z)= xyz. Constraint : x+2y+z-4=0.

8. Find the absolute maximum and minimum values of f on the set D. (10%)

f(x,y)=x²+y²+x²y+4，D={(x，y)||x|≤1，|y|≤1}

(a)

(b)