MAT 21B Lecture Notes - Lecture 16: Separation Of Variables, Radioactive Decay, Antiderivative

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15 Feb 2019
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MAT 21B Full Course Notes
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Many thing - population , exponential radioactivity - decay . arises. A to the amount follow law of when the rate at any given of time growth is modelled change. Did = hey y to ) yo where u is constant initial condition . K ) positive , and either or decreasing increasing. In ly i t c , let t cz. Taming exponentials let to e ly i is. Two decay exponential if co k growth when u. { ydto; ! yet yo e it is exponential exponential growth on. Ex : a colony of the the size and. At its at bacteria end end of of grows. 5 at a rate there there proportional are. Find the expression describing the size bacteria of exponentially , yo yo e e. Since the bacteria increases yet ) = have yo eat y (3) 1250 bacteria (c) when will the bacteria reach. Yo material which at time t we has.

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