Math194 Spring 2007 Practice Exam 2

# Math194 Spring 2007 Practice Exam 2 - t 4 Find the...

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Name:________________________________________ Math 194 Practice Exam 2 1.) Joe takes aspirin and the initial dose is 200 mg. The amount of aspirin in his body decreases by 22% per hour after taking the aspirin. (a.) Find an equation that represents the amount of aspirin in Joe’s body at time t (where t hours). (b.) What is the amount of aspirin left in his body after 3 hours? (c.) When at what time t will Joe have half of the original amount of aspirin left in his body? 2.) There are two situation described below. Which one is a linear model and which one is exponential? (a.) The squirrel population begins at 200 in the year 2005 and grows by 8% every year. (b.) The squirrel population begins at 320 in the year 2003 and decreases by 40 squirrels per year. 3.) Name the y-intercept for each function below and tell whether it is an increasing or decreasing function: (a.) f (x) = 5(1.094) x (b.) g (t) = 3.1(0.79)

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Unformatted text preview: t 4.) Find the exponential function g(t) = ab t if g(10) = 50 and g(30) = 25. 5.) Two giraffe populations are being studied. Giraffe population A begins at 25 giraffes and grows at a continuous rate of 4% per year. Giraffe population B begins at 35 giraffes and grows at a continuous rate of 2% per year. Find functions that represent each of the giraffe populations. Find when giraffe population A will catch up to giraffe population B. 6.) Solve the following equations using logarithms: (a.) 20 = (1.2) x (b.) 350 = 70 e x (c.) 44 (1.04) x = 2 (1.14) x (d.) 58e 4t + 1 = 30 7.) Give the equation of the asymptote for the following functions: (a.) y = log x (b.) y = e x (c.) y = log (x – 2) 8.) Given the graph of f(x) below, sketch the graph of the following functions: (a.) f(x) + 2 (b.) f(x – 3) (c.) f(4x) (d.) 4f(x) (e.) –f(x) – 2 (f.) 0.5f(x + 1) – 2 Here is the graph of f(x):...
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Math194 Spring 2007 Practice Exam 2 - t 4 Find the...

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