Math_41_Exam_2key

# Math_41_Exam_2key - Math 41 Exam 2 Name Show your work...

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Math 41 Exam 2 Name_______________________________________________________ Show your work! Answers without supporting work will receive no credit. Please circle your final answers! 1. [6] Let Q represent a mass, in grams, of radioactive radium ( 226 Ra ), whose half-life is 1599 years. The quantity of radium present after t years is given by ( 29 1 1599 2 25 . t Q = a) Determine the initial quantity (when 0 t = ). b) Determine the quantity present after 1000 years. c) When will the quantity of radium be 0 grams? Explain. 2. [3] Write each logarithm in exponential form. a) ln 4 1.3862. .. = b) 3 ln 3 e = c) 2 1 ln 2 e = - 3. [8] Find the vertex of the parabola given by 2 ( ) 10 14 f x x x = + + by completing the square . 4. [8] Sketch the graph of 2 2 ( ) 4 x f x x = - by finding any x- and y-intercepts, finding any vertical, horizontal, and slant asymptotes, and holes.

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5. [10] You want to invest \$1000 in a bond that pays 7% annual interest for 25 years. Fill in the following chart with the future amount,
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Math_41_Exam_2key - Math 41 Exam 2 Name Show your work...

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