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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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4. (10%) Evaluate
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8. Find the points on the curve 17x2 + 12xy+ 8y2 = 100 that are closest to and farthest away from the origin. (12%)
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1. (10%) Find the limit:.
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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.
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5. (10%) Evaluate ∫x·In(1+x2)dx.
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6. (12%) Evaluate
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7. (12%) Use polar coordinates to combine the sum into one double integral . Then evaluate the double integral.
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8. (12%) Show thatconverges and finds its sum .
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9. (12%) Find the local maximun and minimum values and saddle point(s) of the function f(x,y)=x3+y3+3x2-3y2-8
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1. Evaluate the indefnite integral dx.Answer : __________________
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