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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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9. (10 points)Determine and classify the stationary points of the function f(x,y) = x
2
+y
3
+6xy-7x-6y.
其他申論題
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
#483602
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.
#483603
7. (10 points)If f (x) = In, find f (n)(0).
#483604
8. (10 points)For what value(s) of a does converge?
#483605
(a) (4 points) rectangular coordinates with order of integration dzdxdy,
#483607
(b) (4 points) spherical coordinates with order of integration dpdφdθ.
#483608
a) , where [x] is the Gauss function,
#483609
b) lim.
#483610
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
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