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研究所、轉學考(插大)-微積分
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98年 - 98 國立屏東教育大學_學士班轉學招生考試試題_應用數學系 / 資訊科學系 / 應用物理系：微積分#124177
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1. Determine the slope of 3(x
2
+y
2
)
2
=100xy the graph of at the point (3,1).
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7.Find an equation of the tangent line to the graph y²(x² + y²) = 2x² at point (1, 1).
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8. Evaluate
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9.Find the interval of convergence of ∫f(x)dx, where f(x) =.
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10.Find the directional derivative of the function f(x, y, z) = y² + xz at point P(1, 2, 2) in the direction of Q(3, 1, 4).
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2. Evaluate .
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3. Find the derivative of the function .
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4. Find the area of the surface formed by revolving the graph of f(x)=x2 on the interval about the y-axis.
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5. Find the interval of convergence of .
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6. Evaluate .
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7. Evaluate .
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