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研究所、轉學考(插大)-微積分
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105年 - 105 國立臺灣師範大學_學士班轉學生招生考試試題_企業管理學系二年級：微積分#120323
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題組內容
3. Differentiate the following functions.
a. f(t) = ln sin²t (5 points)
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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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a. How many bottles should Smith order in each shipment to minimize total cost? (10 points)
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b. f(t) = ln tan²t (5 points)
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c. (5 points)
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a. Find an expression for the total cost C(x) of the trip. (5 points)
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5. After t hours on the job, a factory worker can produce 100te⁻⁰.⁵ᵗ units per hour. How many units does the worker produce during the first 3 hours? (10 points)
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6. Find the Taylor series about x = 0 for the indefinite integral (10 points)
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