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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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題組內容
10. Convert
3rdzdrdθ to
(Note: do not evaluate the integrals both in (a) and (b))
(a) (4 points) rectangular coordinates with order of integration
dzdxdy
,
其他申論題
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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(b) (4 points) spherical coordinates with order of integration dpdφdθ.
#483608
a) , where [x] is the Gauss function,
#483609
b) lim.
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2. Find the local extrema of f(x) =x2 Inx for x ＞0, discuss concavity and find the point of inflection. (12%)
#483611
a)
#483612
b)
#483613
3rdzdrdθ to 
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3rdzdrdθ to