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研究所、轉學考(插大)-微積分
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103年 - 103 國立臺灣師範大學_學士班轉學生招生考試試題_數學系二年級：微積分#120330
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1. Find the limit
(10 points)
其他申論題
4. (15 分) Find the integral
#512586
5. (15 分) Is it true thatJustify your answer.
#512587
6. (10 分) Determine whether the equation 1 + 2x + x3 + 4x5 = 0 has exactly one real root. Justify your answer.
#512588
7. (15 分) Is the function continuous on(-∞, ∞)? Justify your answer.
#512589
2. Find the equation of the tangent line to the graph of the equation x sin y = y cos x at the point. (10 points)
#512591
(1) (7 points)
#512592
(2) (7 points)
#512593
(3) (8 points)
#512594
(4) (8 points)
#512595
4. Find the area under the parametric curve x = a(t - sin t), y = a(1 - cos t), 0 ≤ t ≤ 2π, a ＞ 0. (10 points)
#512596
(10 points)
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(10 points)