※ 引述《脑残毛毛》之铭言：(他忘了加某些东西...) 贵美习题又来啦 ()是要交的 *是第六版没有的 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"(<---他忘了加这个...) 第五版 7 10 (13) 25 (**) 31 (35) (39) 56 (46) (51) (54) ** 61 (**) (67) (69) (74) (77) 以下是第五版没有的 第六版 7-5 第3题 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题 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题 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题 (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题 Find the derivative of the function. Simplify where possible. y = arctan √{(1-x)/(1+x)} 第58题 Find f(x) if f'(x) = 4 / (√(1-x^2)) & f (1/2) = 1 第63题 Evaluate the integral. ∫ (1+x)/(1+x^2) dx 有错要跟我说喔~~~ -- 不管手中的剑握得多紧，总是会松掉。 所以试着多相信，试着多微笑。 朝向现在的目标，朝向描绘的梦想。 不管多久~~~决不改变决心。 --

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