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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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7. (10 points) Find the points on the hyperbolic cylinder x
2
- z
2
- 1 = 0 that are closest to the origin.
其他申論題
(a)
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(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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8. (10 points) Find the volume of the solid bounded by the surfaceabove the plane region R: x2 + y2≤9.
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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)
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a. How many bottles should Smith order in each shipment to minimize total cost? (10 points)
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b. How often should Smith order the perfume? (5 points)
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a. f(t) = ln sin²t (5 points)
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b. f(t) = ln tan²t (5 points)
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