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96年 - 96 中原大學轉學生招生入學考試_理工群組二、化學群組二、資工二：微積分#124661
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8.
e
x+y
dydx =_______.
其他申論題
4. ∫ =_______.
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5. =_________.
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6. The point on the curve y = x² that is closest to the point (18, 0) is________.
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7. The area of the region outside the cardioid r = 1 + cosθ and inside the circle r =sinθ is________.
#530259
9. sin(y²)dydx =___________.
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10. If f(x, y) = (sin x)y, then =__________.
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1. Find the radius and interval of convergence for the series .
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2. Find all relative extrema and saddle points of f(x, y) = x² + y⁴ – 4xy + 1.
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3. Find the integraldA , where R is the trapezoidal region with vertices (1, 0), (2, 0), (0, −2), and (0, −1).
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V. Composition (30%)Write a 300-word essay on how to enjoy doing nothing.
#530266
ex+y dydx =_______.
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ex+y dydx =_______.