112年 - 112 國立高雄師範大學_轉學生招生考試試題_電機工程學系二年級：微積分#116289

科目：研究所、轉學考(插大)-微積分 | 年份：112年 | 選擇題數：0 | 申論題數：11

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 (11)

(a) x as the variable of integration (5%) and

(b) y as the variable of integration. (5%)

2. Find the area of the surface obtained by rotating the circle x²+ y² = r²about the line y = r. (10%)

3. Find the points on the cone z² = x² + y² that are closest to the point (4, 2, 0). (10%)

4. Differentiate (10%)

5. Evaluate. (10%)

6. Find (10%)

7. Evaluate . (10%)

8. If f(x, y) = , calculate (5%) and (5%).

9. Evaluate dx. (10%)

10. Find the gradient of f(x, y) where f(x, y) = sin(x) + e^xy . (10%)