Use the method of completing the square to write the equation

| August 30, 2017

Question
Show all your relevant work or will not receive credit. You must use the method of the course and must show the formula you are using. Trial and error is not accepted method.

1 for the parabola .0/msohtmlclip1/01/clip_image002.png”>:

a) Use the method of completing the square to write the equation in the form .0/msohtmlclip1/01/clip_image004.png”>.

b) What are the coordinates of the vertex of this parabola? Is it a maximum or a minimum?

c) Find the coordinates of the vertex of this parabola.

d) Sketch the graph. Be sure to include the vertex and the 2 additional point.

2 Let .0/msohtmlclip1/01/clip_image006.png”> and.0/msohtmlclip1/01/clip_image008.png”>. Find:

a) the domain of .0/msohtmlclip1/01/clip_image010.png”>

b) The composite function .0/msohtmlclip1/01/clip_image012.png”>Simplify your answer.

c) The difference quotient .0/msohtmlclip1/01/clip_image014.png”> . Simplify your answer.

3 Solve for .0/msohtmlclip1/01/clip_image016.png”> by using the law of exponents and logarithms

a) .0/msohtmlclip1/01/clip_image018.png”>

b) .0/msohtmlclip1/01/clip_image020.png”>=8

4 The sum of $4000 is invested at a nominal annual rate of 4% compounded quarterly. How long

will it take for it to grow to $5000?

5 What monthly payment will be needed to pay off a loan of $30,000 over 10 years at the

nominal annual rate of 6%compounded at the end of each month?

6 Let .0/msohtmlclip1/01/clip_image022.png”> and .0/msohtmlclip1/01/clip_image024.png”>. Find

a) .0/msohtmlclip1/01/clip_image026.png”>

b) .0/msohtmlclip1/01/clip_image028.png”>

7 Solve the following system by using augmented matrices and row-reduction:

.0/msohtmlclip1/01/clip_image030.png”>

.0/msohtmlclip1/01/clip_image032.png”>

.0/msohtmlclip1/01/clip_image034.png”>

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