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研究所、轉學考(插大)-微積分
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96年 - 96 國立屏東教育大學_學士班轉學招生考試試題：微積分#124181
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(2)Find
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(2)Find the limit: .
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2. (1)Find the derivative .
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(2)Find given x2+y2=25.
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3.(1)Find the derivative of .
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4. Find the area of the region between the graph of f(x)=3x3-x2-10x and g(x)=-x2+2x.
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5. Find the radius of convergence of .
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6. A manufacturer of computer components determines that the total cost C of producing x components per week is
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7. An object is moving in the clockwise direction around the unit circle x2+y2=1. As it passes through the point , its y-coordinate is decreasing at the rate of 3 units per second. At what rate is the x-coordinate changing at this point?
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8. A soft-drink manufacturer wants to fabricate cylindrical cans for its product. The can is to have a volume of 12 grams, which is approximately 22 cubic centimeters. Find the dimensions of the can that will require the least amount of material.
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9. Determine if convergence or not.
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