Math194 Spring 2007 Exam 2

Math194 Spring 2007 Exam 2 - Name:_ Math 194 Spring 2007...

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Name:______________________________________ Math 194 Spring 2007 Exam #2 April 3, 2007 (1.) (4 points) Given the exponential functions below, give the y-intercept of each. Also tell whether that function is increasing or decreasing and why. (a.) f(t) = 5 (0.762) t (b.) p(x) = 0.22 (1.004) x (2.) (4 points) Rewrite the following using logs instead of exponents: (a.) 10 4 = 10,000 (b.) e y = x (3.) (4 points) Rewrite the following using exponents instead of logs: (a.) log 4 = 0.60206 (b.) ln 1 = 0 (4.) (2 points) What is the equation of the asymptote for the function y = log x? (5.) (8 points) Solve the following exponential equations. (a.) 33 (1.04) t = 99 (b.) 20 e 3 t – 1 = 5
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(6.) Larry and Mary both had a cup of coffee today. Larry had a large, so he drank 200 mg of caffeine. The caffeine leaves Larry’s body at a rate of 18% per hour. Mary had a small cup, but with a triple shot of espresso in it, so she had 250 mg of caffeine. The caffeine leaves Mary’s body at a rate of 25% per hour. (a.)
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Math194 Spring 2007 Exam 2 - Name:_ Math 194 Spring 2007...

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