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研究所、轉學考(插大)-微積分
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106年 - 106 國立臺灣大學轉學生招生考試試題_(商、管、農、經學院聯招) ：微積分(C)#113214
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8.When 2x
2
-4xy +5y
2
=1, f(x,y)=x
2
+y
2
,determine the maximum value and minimum value of f(x,y). (10%)
其他申論題
4. Find the arc length determined by the curve y= over 1≤ x＜ 2. (10%)
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5.=? (10%)
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6.=?(10%)
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7. =? (10%)
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9. dx=?(10%)
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10. y=f(x) satisfies When x=1, y=2, what is f(x) ? (10%)
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a) Find f'(0) (6%)
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b) Is f'(x) continuous at x=0 ? (6%)
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2. Evaluate (10%)
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3. Show that (12%)
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