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107年 - 107 東吳大學_暑假轉學生招生考試_財務工程與精算數學系三年級：微積分#105834
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題組內容
請詳述計算過程與理由，僅寫答案者不予計分
6. Find the area enclosed by the line and the parabola .
其他申論題
2. Find the first derivative of the following function:
#450958
3. Show that the geometric series converges if and derive its sum. converges if |r|<1 and derive its sum.
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4. Show that does not exist.
#450960
5. Find the extreme values of on the region described by the inequality:
#450961
7. Evaluate the integral
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8. Evaluate the integral
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9. Find the integral
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1. For , find (a) the equation of the secant line through points whose x coordinates are 0 and 2, (b) the equation of the tangent line when x = -2.
#450966
2. Find the derivative of .
#450967
(a)
#450968
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