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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.
b. f(t) = ln tan²t (5 points)
其他申論題
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
a. How many bottles should Smith order in each shipment to minimize total cost? (10 points)
#512552
b. How often should Smith order the perfume? (5 points)
#512553
a. f(t) = ln sin²t (5 points)
#512554
c. (5 points)
#512556
a. Find an expression for the total cost C(x) of the trip. (5 points)
#512557
b. At what rate is the cost C(x) changing with respect to x when the truck is driven at 40 miles per hour? Is the cost increasing or decreasing at that speed? Explain your answer. (10 points)
#512558
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)
#512559
6. Find the Taylor series about x = 0 for the indefinite integral (10 points)
#512560
a. What is the domain of R? (5 points)
#512561
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