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102年 - 102 國立成功大學轉學生招生考試試題_微積分_(商管系所聯招)#113206
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9. (12%) Find the local maximun and minimum values and saddle point(s) of the function f(x,y)=x
3
+y
3
+3x
2
-3y
2
-8
其他申論題
5. (10%) Evaluate ∫x·In(1+x2)dx.
#483623
6. (12%) Evaluate
#483624
7. (12%) Use polar coordinates to combine the sum into one double integral . Then evaluate the double integral.
#483625
8. (12%) Show thatconverges and finds its sum .
#483626
1. Evaluate the indefnite integral dx.Answer : __________________
#483628
2. Find the points on the graph of z = 3x2 - 4y2 at which the vector n=(3, 2,2) is normal to the tangent plane. Answer :____________
#483629
3. What is the value of the double integral dxdy? Answer :__________
#483630
4.What is the largest value that the directional derivative of f(x,y, z) = xyz can have at the point (1,1,1)? Answer :___________
#483631
(a) Determine if the series converges or diverges? (5分)
#483632
(b) Determine if the improper integral converges or diverges?(5分)
#483633
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