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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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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)
其他申論題
b. f(t) = ln tan²t (5 points)
#512555
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
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
b. How many databases were present when DataCorp began the transfer? (5 points)
#512562
c. How many databases still needed to be transferred in 2009? (5 points)
#512563
8. A manufacturer can produce printer paper at a cost of $2 per ream. The paper has been selling for $5 per ream, and at that price consumers have been buying 4,000 reams per month. The manufacturer is planning to raise the price of the paper and estimates that for each $1 increase in the price, 400 fewer reams will be sold each month. What price corresponds to the maximum profit? (10 points)
#512564
1. Find the radius of convergence and interval of convergence for the given power series. (5 分)
#512565
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