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研究所、轉學考(插大)-微積分
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95年 - 95 國立中興大學_理學院科系(聯招)轉學考：微積分#112196
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題組內容
4.Determine whether the series converges or diverges:
(b)
其他申論題
1.A sector with central angle θ is cut from a circle of radius 2 meters, and the edge of the sector are brought together to form a cone, find the magnitude of θ such that the volume of the cone is a maximum.
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2.Find the balance for $1,000 dollars invested at rate 6% for 20 years by (a) compound 4 times per year； (b) continuous compounding.
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3.Let L be any tangent line to the curve (in the first quadrant) Show that the sum of the x- and y- intercepts of L is c.
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(a)
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5.Draw the curve of parametric equations x=t2 +1, y=4t3+3 on the interval 0 ≤ t ≤ 2 and find the arc length.
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(a)
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(b)
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7.Let and f(x,y,z)=,find and)
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8.Evalate the double integral dy dx by converting to polar coordinates.
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9.Find the tangent plane to the surface xyz = 12 at the point (2, -2, -3).
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