97年 - 97 淡江大學轉學考_商管組二年級：微積分#55523

科目：研究所、轉學考(插大)-微積分 | 年份：97年 | 選擇題數：0 | 申論題數：12

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所屬科目：研究所、轉學考(插大)-微積分

選擇題 (0)

申論題 (12)

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2.The equation of the tangent line to the curve y = x³ at the point(-1，0) = ____

3.The area of the region that is bounded by y= √x，y = x-2 and the

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7. A sum is invested at 15% compounded continuously. How long will it triple?____ (ti： In3 = 1.0986 )

8. A furniture showroom expects to sell 250 sofas a year. Each sofa costs the store $300, and there is a fixed charge of $500 per order. If it costs $100 to store a sofa for a year, how often should orders be placed to minimize inventory costs?____

9„ A store can sell 20 bicycles per week at a price $400. each. The manager estimates that for each $10 price reduction she can sell two more bicycles per week. The bicycles cost the store $200 each. Find the price of the bicycles and quantity that maximize profit?____

10. Suppose that r(x) = 9x and c(x)=x³-6x² + 5x represent the revenue and cost function, respectively, where x represents thousands of units. The production level that maximize profit = ____

計算題（每題10分）必須列出過程,否則不予計分

二、 Sketch the graph of y=x⁴-4x³ + 10, identify the extrema points and inflection points.

三、