Solution-Beanstalk is an exponential function of time

Beanstalk is an exponential function of time

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Reference no: EM131573103

1) Translate the following equation into English, using m to mean mass, t to mean time and k to be a constant:

dm(t)dt=-km(t)

2) The height of Jack's beanstalk is an exponential function of time. If the initial height is 3 ft, and if the doubling time is 4 hours, graph the height of the beanstalk as a function of time.

3) I have foolishly invested in smallpox vaccine. I initially invested 10,000 dollars. However, since the disease smallpox has been nearly eradicated, the value of the vaccine is decaying exponentially, with a half-life of 2.5 weeks. Graph the value of my vaccine as a function of time.

4) What does the science principle that models should be "simple" suggest about the nature of the equations that represent "simple" models? (This question is a challenge one in that it is not specifically addressed in the book. Please make your best attempt.)

Reference no: EM131573103

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Beanstalk is an exponential function of time

Reference no: EM131573103

Reference no: EM131573103

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