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IB MAI HL Calculus Topic 5.4 Differential Equations (id: 137ea7d0d)

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admin 发表于 2024-3-22 17:18:44 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Calculus Topic 5.4 Differential Equations,类别为 IB数学

[填空题]
The decay rate of radium- 226 , a naturally f96* z3wxgoyd occurring radioactive metal,3sg8+de qr. k/,fkdf uww:;ka n v.v6b is directly proportional to the amount observed at that instant. The half-life of radium-226 is 3;w:nkdkr.v+ugks a,8df f w.q6bev/ 1600 years. At an initial measurement, there was 100 grams of radium-226 in a sample.
1. Find an expression for the amount of radium-226, R , in the sample in terms of t , where t is the time in years after the initial measurement.
R(t)=ae$^{-0.000433t}$;a=  .
2. Find to the nearest gram the amount of radium- 226 in the sample after 3000 years.
R(3000)≈   grams.(round number)




参考答案:
空格1: 100空格2: 27


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