Precalculus Practice Exam

Part 4 Test 3 Time: 2 hours


  1. Given the equation, tex2html_wrap_inline151 find the following:

  2. Given that the point tex2html_wrap_inline161 is located on the terminal side of the angle t, find a point on the terminal side of the following angles:

  3. Write tex2html_wrap_inline173 as an algebraic expression in x.


    Answer:

    displaymath140

  4. A man, standing on the top of a building that is 1,000 feet high, looks down with an angle of depression of 12 degrees, to the base of the building across the street. How far apart are the buildings?


    Answer: The buildings are approximately 4704.63 feet apart.

  5. A total of $10,000 is invested for 10 years at 12% per year compounded continuously. How much interest will be earned during the 10 years?


    Answer: The interest earned will be $23,201.17.

  6. Solve for x in the inequality

    displaymath142


    Answer: The solution is the set of all x's on the intervals

    displaymath143

  7. Assume that the population of a town in Texas is given by tex2html_wrap_inline227 , where t time is given in years and t=0 corresponds to the year 1900.

  8. Find all the zeros of tex2html_wrap_inline233 .
  9. Solve the following system of equations for tex2html_wrap_inline235 , and z:

    eqnarray101


    Answer: tex2html_wrap_inline239


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Tue Jun 24 22:33:42 MDT 1997

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