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87年 - 87 中原大學轉學生招生考試(理、工、資電學院聯招)：微積分#124719
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10. Evaluate the integral
dydx.
其他申論題
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第二部份:計算及證明題 1. Prove that if f is differentiable on (a, b), then f is continuous on (a, b).
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3. Use Lagrange Multiplier method to calculate the maximum value of x + 2y subject to the condition that ≤ 1.
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4. Evaluate , where R is the region bounded by x + y = 0, x + y = 1, x - y = -1, and x - y = 2.
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dydx.
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dydx.