107年 - 107 東吳大學_暑假轉學生招生考試_經濟學系二年級：微積分#105573

科目：研究所、轉學考(插大)-微積分 | 年份：107年 | 選擇題數：0 | 申論題數：10

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 (10)

1. (10%) ?

2. (10%) Find the area of the region enclosed by the lines y = 0 ,x + y = 2 ,and the curve y = x²

3. (10%) Find the Taylor polynomial of order 3 for the function ln(1 + x ² ) at a = 0

4. (10%) Find all the local maxima, local minima, and saddle points of the functionf(x,y)=4xy−x⁴−y ⁴.

5. (10%) Find the extreme values of f x, y = xy subject to the constraint x ² + 4y²= 8

6. (10%)= ?

7. (10%) = ?

8. (10%) Find f(2) , if

9. (10%) ?

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