90年 - 90 國立中山大學轉學生招生考試試題_應數系：微積分#118414

科目：研究所、轉學考(插大)-微積分 | 年份：90年 | 選擇題數：0 | 申論題數：6

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 (6)

1. Let x²+ y²=r², r ＞ 0.Evaluate

2. Find maximum area of the rectangle that can be inscribed in the portion of parabola y² = 4px intercepted by the line x = a where p, a ＞ 0.

3. Suppose that C(x) and S(x) are two functions such that C'(x) = -S(x) and S'(x) = C(x). Prove that C²(x)+S²(x)
is constant.

4. Find

5. Let r is a real number not equal to an integer. Find

6. Find the volume of