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研究所、轉學考(插大)-微積分
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106年 - 106 國立臺灣師範大學_學士班轉學生招生考試試題_物理學系二年級：微積分#120321
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題組內容
4. (20 points) Find the integrals
(a)
其他申論題
1. (8 points) Find the value of c that makes the following function continuous at x =
#512541
(a)
#512542
(b)
#512543
3. (10 points) Evaluate by using an appropriate Riemann sum.
#512544
(b)
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5. (10 points) Consider the function given by Find the interval of convergence for
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6. (12 points) Sketch the graph of the function (包含截距,漸進線,極值,凹性,反曲點等).
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7. (10 points) Find the points on the hyperbolic cylinder x2 - z2 - 1 = 0 that are closest to the origin.
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8. (10 points) Find the volume of the solid bounded by the surfaceabove the plane region R: x2 + y2≤9.
#512550
1. After t weeks, a factory is producing N(t) thousand computers, where At what rate is the production level changing after 4 weeks? Is production increasing or decreasing at this time? Explain your answer. (10 points)
#512551
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