Difference between revisions of "5F13Final"

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(Created page with "1. Please circle either true or false,<br>     a. (True/False)In a geometric sequence, the common ratio is always positive. <br>     b....")
 
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7. Solve the following equation, &nbsp;&nbsp;&nbsp;&nbsp; <math> 2\log_5(x) = 3\log_5(4)</math>
 
7. Solve the following equation, &nbsp;&nbsp;&nbsp;&nbsp; <math> 2\log_5(x) = 3\log_5(4)</math>
  
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8. Solve the following equation, &nbsp;&nbsp;&nbsp;&nbsp; <math> 3^{2x} + 3^x -2 = 0 </math>
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9. Solve the following system of equations <br>
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<math> \begin{center} \begin{matrix} 2x &+& 3y  &= & 1\\ -x &+& y & = & -3\end{matrix}\end{center}</math>

Revision as of 15:01, 20 March 2015

1. Please circle either true or false,
    a. (True/False)In a geometric sequence, the common ratio is always positive.
    b. (True/False) A linear system of equations always has a solution.
    c. (True/False) Every function has an inverse.
    d. (True/False) Trigonometric equations do not always have unique solutions.
    e. (True/False) The domain of is all real numbers.
    f. (True/False) The function is defined for all real numbers.

2.Find the domain of the following function. Your answer should be in interval notation

3. Find f g and its domain if

4. Find the inverse of the following function

5. Solve the following inequality. Your answer should be in interval notation.

6. Factor the following polynomial completely,     

7. Solve the following equation,     

8. Solve the following equation,     

9. Solve the following system of equations
Failed to parse (unknown function "\begin{center}"): {\displaystyle \begin{center} \begin{matrix} 2x &+& 3y &= & 1\\ -x &+& y & = & -3\end{matrix}\end{center}}