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97年 - 97 國立屏東教育大學_學士班轉學招生考試試題_資訊科學系 / 應用物理系:微積分#124178
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9. Find the volume of the solid generated by revolving the region bounded by y=4x-x2 and y = 0 about the line x = 5.
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10. Find a power series for the function f(x)=, centered at c=3, and determine the interval of convergence.
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1. Find .
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2. Find the slope of the tangent line to the graph x3+y3-6xy=0 at point ().
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4. Evaluate the iterated integral . (Note that it is necessary to switch the order of integration.).
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5. Find the interval of convergence of .
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6. Find dy/dx given the equation y3-y+2x3-x=8
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7. Find the derivative of the function g(t)=
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8. Evaluate
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9. Compute the first partial derivatives of each of the function h(u,v)=
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