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研究所、轉學考(插大)-微積分
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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
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4. Differentiate
(10%)
其他申論題
(a) x as the variable of integration (5%) and
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(b) y as the variable of integration. (5%)
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2. Find the area of the surface obtained by rotating the circle x2+ y2 = r2 about the line y = r. (10%)
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3. Find the points on the cone z2 = x2 + y2 that are closest to the point (4, 2, 0). (10%)
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5. Evaluate. (10%)
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6. Find (10%)
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7. Evaluate . (10%)
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8. If f(x, y) = , calculate (5%) and (5%).
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9. Evaluate dx. (10%)
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10. Find the gradient of f(x, y) where f(x, y) = sin(x) + exy . (10%)
#496757
(10%)
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(10%)