Exam 2 part 1 MAT194 Callahan

Exam 2 part 1 MAT194 Callahan - logarithms. Don’t plug it...

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Name: ____________________ 28 October 2008 Precalculus Exam 2 Directions . Read the directions carefully because many questions have more than one part. You may use a calculator but make sure to show all your work to get credit. 1. The element Mathadium decays exponentially according to the formula . If , then r = _____ %. Interpret your answer by explaining it in words. 2. The following figure gives the graph of , where C is the computer hard disk capacity (in hundreds of megabites) that could be bought for $500 t years past 1989. If the trend displayed in the graph continued, in what year would the capacity that can be bought for $500 be 17,000? Find your answer algebraically (not using your graphing calculator). What is the annual percent growth rate?
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3. Solve the following equations exactly for x (that is, leave your answer in terms of
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Unformatted text preview: logarithms. Don’t plug it into your calculator to get a decimal). A) log(6 – x ) – log(5 + x ) = 3 B) e x + 7 = 3 · 4 x 4. Consider the function . What is its domain? Find equations for all asymptotes of the function and support your answer with a sketch. Finally, use this information to write a limit statement about the function. 5. Let and . What is ? 6. What is the horizontal asymptote of as ? Write this as a limit statement and support your answer with a sketch of the graph of this function. 7. Each of the functions in the table below is increasing, but each increases in a different way. One is linear, one is exponential, and one is neither. Find a formula for the exponential function. t f(t) g(t) h(t) 1 22.73 22 22.35 2 25.53 32 33.30 3 28.33 41 49.62 4 31.13 49 73.93 5 33.93 56 110.16 6 36.73 62 164.14...
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This note was uploaded on 12/21/2011 for the course MAT 194 taught by Professor Staff during the Fall '08 term at Syracuse.

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Exam 2 part 1 MAT194 Callahan - logarithms. Don’t plug it...

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