※ 引述《腦殘毛毛》之銘言：(他忘了加某些東西...) 貴美習題又來啦 ()是要交的 *是第六版沒有的 7-5 第六版 3 (9) 13 (20) 第五版 * (*) ** (**) 7-6 第六版 7 10 (13) 25 (30) 31 (35) (39) 56 (46) (51) (54) 58 61 (63) (67) (69) (74) (77) "7-5"(<---他忘了加這個...) 第五版 7 10 (13) 25 (**) 31 (35) (39) 56 (46) (51) (54) ** 61 (**) (67) (69) (74) (77) 以下是第五版沒有的 第六版 7-5 第3題 A becteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 420. (a) Find the expression for the number of becteria after t hours. (b) Find the number of becteria after 3 hours. (c) Find the rate of growth after 3 hours. (d) When will the population reach 10,000? 第9題 The half-life of cesium-137 is 30 years. Suppose we have a 100-mg sample. (a) Find the mass that remains after t years. (b) How much of the sample remains after 100 years? (c) After how long will only 1mg remain? 第13題 A roast turkey is taken from an oven when its temperature has reached 85 ℃ and is placed on a table in a room where the temperature is 22℃. (a) If the temperature of hte turkey is 65℃ after half an hour, what is the temperature after 45 minutes? (b) When will the turkey have cooled to 40℃? 第20題 (a) How long will it take an investment to double in value if the interest rate is 6% compounded continuously? (b) What is the equivalent annual interest rate? 7-6 第30題 Find the derivative of the function. Simplify where possible. y = arctan √{(1-x)/(1+x)} 第58題 Find f(x) if f'(x) = 4 / (√(1-x^2)) & f (1/2) = 1 第63題 Evaluate the integral. ∫ (1+x)/(1+x^2) dx 有錯要跟我說喔~~~ -- 不管手中的劍握得多緊，總是會鬆掉。 所以試著多相信，試著多微笑。 朝向現在的目標，朝向描繪的夢想。 不管多久~~~決不改變決心。 --

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