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研究所、轉學考(插大)-微積分
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97年 - 97 淡江大學轉學考_商管組二年級：微積分#55523
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5.
其他申論題
1.
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2.The equation of the tangent line to the curve y = x3 at the point(-1，0) = ____
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3.The area of the region that is bounded by y= √x，y = x-2 and the
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6.
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7. A sum is invested at 15% compounded continuously. How long will it triple?____ (ti： In3 = 1.0986 )
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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?____
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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?____
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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 = ____
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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.
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