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數學 高中

第13題怎麼算

附圖自行車競賽的賽道,以下信件內容是每位選手參賽前都會事先收到關於賽道的相關 資訊,請大家幫助參賽選手龍龍在比賽前完全掌握資訊,拿出最佳表現。 親愛的參賽者你好: 本次的賽道在坐標平面上為一個三次函數f(x),已知起點與終點分別為 S(-3,15)和E(1,-1),且起點與終點恰對稱於賽道的對稱中心,主辦單位在事先 場勘時從空中用空拍機拍攝時發現此三次函數的廣域特徵近似曲線y=-2x, 其中賽道上 4(0,k)為補給站,最後請各位選手到達終點時回答出通關密語 (a,b),優先抵達終點線且答對通關密語者即為本次的優勝者。 10. 此賽道的對稱中心為 (-1, 7) 11.請幫龍龍算出此三次函數為−2X-6X--2X+9 (非選擇題,6分) 。 通關密語問題: 此三次函數賽道在x=-2附近的局部特徵近似於直線y=ax+b,通關密語為(a,b)。 STEELS AFTER (2) 祝各位參賽者有個美好的經驗,期待當天與各位相見。 MEGETARIS SF(x) (0.8) 。 (非選擇題,4分) S -2x367²-6X+4X=2+4+7 -2x³²-6x² - 2x +90 12. 補給站的坐標位置4為 (09) (非選擇題,5分) 実二 $(非選擇題,5分)*y=a(x+1)+p(x+1)+7 13. 通關密語(a,b)為 (2,1) (非選擇題,5分)),10-20 。 解 This 買完一次后米售類(一)(HT012-16+2P+7 2(X+1)+4(x+1)+7=(-x)(m-zoP=41 E 主辦單位騰騰出版社 -341 15-4 = =) = (-1, 1) S (10-0-56-0 f(o) = -2+4+7 f(0) = 2 = 9

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數學 高中

求救第55題 完全看不懂他要我幹嘛

Year slenue Req) = 1932 1958 +1000 q R 9)=-1000q =74 1963 1968 COM If the price in dollars of a stereo system is given by 1000 p(q) + 1000, 1000 ² q where q represents the demand for the product, find the mar- ginal revenue when the demand is 10. 54. Profit Suppose that for the situation in Exercise 53 the cost in dollars of producing a stereo systems is given by C(q) = 0.2q2 + 69 + 50. Find the marginal profit when the demand is 10. 59. Marginal Product of Labor The output y of a manufacturing y process is a function of the size of the labor force n using the function 1990 +1000 1971 1974 = 990 197 197 19 19 1 y = kVn. The marginal product of labor, defined as dy/dn, measures the rate that output increases with the size of the labor force, and is a measure of labor productivity. (a) Show that (c) Using the a cubic f respond the rate and 200 (d) Discus descri part ( the y (e) Exp data calc ful x C(x) = 58. Money 1955-7 dy k dn an (b) How can you tell from your answer to part (a) that as the size of the labor force increases, the marginal product of labor gets smaller? This is a phenomenon known as the law of diminishing returns, discussed more in the next chapter. 56. Profit An analyst has found that a company's costs and rev- enues in dollars for a product are given by x2 C and R(x) 2x 2 5000' respectively, where x is the number of items produced. (a) Find the marginal cost function. (b) Find the marginal revenue function. (c) Using the fact that profit is the difference between revenue and costs, find the marginal profit function. (d) What value of x makes the marginal profit equal O? (e) Find the profit when the marginal profit is 0. (As we shall see in the next chapter, this process is used to find marimum profit.) A wher in bi find year (a) (C) (e) nad since

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