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100年 - 100 淡江大學 轉學考 應用數學#55469
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(b) Qualitatively sketch a graph of the sum of three terms of the series. [Hint: Sketch each term separately on the same axes and add the terms graphically.]
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(b) y''-4y = sin 2x
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(a)
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【已刪除】(b)
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4. (a) Expand the periodic function in a sine-cosine Fourier series
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5. (a) Evaluate = ?
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(b) Evaluate = ? for n = l,2, and 3 .
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1. Show that approaches to (10 points)
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2. Write down the definition of Levi-Civita symbol εijk and show that (10 points)
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3. Evaluate the area enclosed by a simply connected curve C : x2/3 + y2/3 = 4 in the x-y plane. (15 points)
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4. Show that the sum of the square of the matrix elements is invariant under orthogonal similarity transformation. (15 points)
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