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研究所、轉學考(插大)-微積分
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98年 - 98 淡江大學轉學考_理工組二年級：微積分 #56038
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1. (a) State the Mean Value Theorem,
其他申論題
【已刪除】7.
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8. Find the equation of the tangent plane to the given surface, z+1 = cos z,at the point (1,0,0).
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【已刪除】9. Evaluate the integral
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【已刪除】10. Find the interval of convergence of the series
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(b) Show that the equation 1 + 2x+x3+ 4x5 = 0 has exactly one real root.
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2. Find the maximum and minimum of the function f (x，y) = x2y subject to the constraint x2 + 2y2 = 6.
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【已刪除】3. Find the third-degree Taylor polynomial of function
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【已刪除】4. Evaluate the integral、where R is the trapezoidal region with vertices (1,0), (2,0), (0,2), and (0,1).
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(a) Find the potential at a distance z above the center of the charge distributions.
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(b) Use the result in (a) to find the electric field at a distance z above the center of the disk.
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