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midterm2011

midterm2011 - Math 17A Calculus Midterm Exam Name ID...

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Math 17A Calculus, Midterm Exam Name: ID: Section: 1. (20 points) Suppose you follow a population over time. When you plot your data on a log-log plot, a straight line with slope -0.5 results. Furthermore, assume that the population size at time = 1 is 20. a) Find the formula for the population size N ( t ) at any time t . b) What is the population size at t = 4 , 100? c) What is lim t →∞ N ( t )?

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Name: ID: Section: 2 2. (10 points) Consider the dose-response curves of two drugs: drug A and drug B. Let x be the amount of drug administered to patients (in mg/kg body weight) and R be a measure of the effect of the drug on patients. a) The dose-response curve of drug A is given by: R ( x ) = 2 x + 1 16 + x 2 . Find the limiting response of the drug as the administered dose gets very large, i.e. calculate lim x →∞ R ( x ). b) The dose-response curve of drug B is given by: R ( x ) = x 2 + x + 1 16 + 3 x 2 . Find the limiting response of the drug as the administered dose gets very large, i.e. calculate lim x →∞ R ( x ).
Name: ID: Section: 3 .

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Name: ID: Section: 4 3. (20 points)
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midterm2011 - Math 17A Calculus Midterm Exam Name ID...

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