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

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)

a. How many bottles should Smith order in each shipment to minimize total cost? (10 points)

b. How often should Smith order the perfume? (5 points)

a. f(t) = ln sin²t (5 points)

b. f(t) = ln tan²t (5 points)

c. (5 points)

a. Find an expression for the total cost C(x) of the trip. (5 points)

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)

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)

6. Find the Taylor series about x = 0 for the indefinite integral

(10 points)

a. What is the domain of R? (5 points)

b. How many databases were present when DataCorp began the transfer? (5 points)

c. How many databases still needed to be transferred in 2009? (5 points)

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)

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

試卷資訊

選擇題 (0)

申論題 (14)