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104年 - 104 國立成功大學轉學生招生考試試題_微積分_(商管系所聯招)#113213
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4. (10 points)Evaluate
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(c) (6 points)
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(a) (6 points)
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(b) (6 points)
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3. (10 points)If , find the partial derivatives
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5. (10 points)Find the derivative of the function simplify where possible.
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6. (10 points)Find the area of the polar region R, where R is bounded by the smaller loop of the curve r = 1 + 2cosθ.
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7. (10 points)Find the interval of convergence of the series. Then identify the values of x for which the series converges absolutely or conditionally.
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8. (10 points)In which direction from the point (1,1) is the directional derivative of f(x)=x2+y2 zero?
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9. (10 points)Determine and classify the stationary points of the function f(x,y)=x2+y3+6xy-7x-6y.
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1.=?(10%)
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