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研究所、轉學考(插大)-微積分
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100年 - 100 國立中興大學_轉學考招生試題：A組聯招群：微積分#110064
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1. Find the average of the function f(x) = x sin x between x =0 and x=π.
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6. The integralx =______
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7.=_______
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8. The temperature on the surface of a metal plate is T(x, y) =. The direction of the greatest increase in heat from point (3, 4) is_______； The rate of increase in the direction from point (3, 4) to point (6, 8) is _______.
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9. If a curve is given by , where 0≤ t ≤4π and b is a constant, the length of the curve is ________
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2. The eror functon erf(x) is defined as erf(x)=. Use this formula to find the integral .
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3.For dx dy ,(1)sketch the region of integration； (2) switch the order of integration and evaluate the integral.
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4. Evaluate the line integral ，where C. line segment from (1, 1) to (Hint:)
#471529
5.Find the area of the region Iying between the inner and outer loops of the limacon r(θ) =1-2sinθ.
#471530
(a) CISC
#471531
(b) RISC
#471532
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