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研究所、轉學考(插大)-微積分
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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_(理工系所聯招)#113204
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4. (10 points)Find
其他申論題
(a) (5 points) Find value of A such that f is continuous at x = 0
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(b) (5 points) Is f (x) differentiable at x=0? Explain.
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(a) (6 points)
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(b) (6 points)
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5. (10 points)Find the area of the polar region R common to the two regions bounded by the curve r =-6cosθ and r =2-2cosθ
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6. (10 points)Find the volume of the solid that lies under the cone, about the xy-plane, and inside the cylinder x 2+y 2=2x.
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7. (10 points)If f (x) = In, find f (n)(0).
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8. (10 points)For what value(s) of a does converge?
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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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(a) (4 points) rectangular coordinates with order of integration dzdxdy,
#483607
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