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研究所、轉學考(插大)-微積分
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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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5. (10%) Evaluate
∫
x·In(1+x
2
)dx.
其他申論題
1. (10%) Find the limit:.
#483619
2. (10%)Find the limit:
#483620
3. (12%) Give In(x2+y2)+2·=0, find the values of and when x=0 and y=1.
#483621
4. (10%) Evaluate
#483622
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
9. (12%) Find the local maximun and minimum values and saddle point(s) of the function f(x,y)=x3+y3+3x2-3y2-8
#483627
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
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