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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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1. (10%) Find the limit:
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其他申論題
5. Use , prove , and find the sum . (12%)
#483615
6. Find the average value of f(x,y) = xy over the quarter circle x2 +y2≤1 in the first quadrant. (12%)
#483616
7. Evaluate F(x,y) = dt for x＞ 0, y＞ 0. (12%)
#483617
8. Find the points on the curve 17x2 + 12xy+ 8y2 = 100 that are closest to and farthest away from the origin. (12%)
#483618
2. (10%)Find the limit:
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3. (12%) Give In(x2+y2)+2·=0, find the values of and when x=0 and y=1.
#483621
4. (10%) Evaluate
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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
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