 | Question 1: (2 points)
Which of the following represents
 after completing the square, where
is a non-zero constant, and
 ,
 are any constants?
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| Question 2: (2 points)
The solutions to the quadratic equation
are
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| Question 3: (2 points)
Fill in the blanks:Let
be a product of complex numbers. Then the real part of
 is ____ and the
imaginary part of
is ____. |
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| Question 4: (2 points)
Let
 be a product of
complex numbers, where
and
are arbitrary real numbers. Which of the following is the real part of
?
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| Question 5: (2 points)
Which of the following are critical points of the function
 ?
Check all that apply.
| (a) |  |
| (b) | 2 |
| (c) |  |
| (d) | 1 |
| (e) | 0 |
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| Question 6: (2 points)
The following equation is Euler’s Formula, where
 is an
arbitrary real number:
An example of the use of this formula is
 .
Using Euler's Formula, write
in the standard form
 .
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| Question 7: (2 points)
Which of the following represents the expression
 after
completing the square?
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| Question 8: (2 points)
The solutions of the quadratic equation
are
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| Question 9: (2 points)
The function
 has a critical point at
 . Does does this give a local maximum, local minimum, or neither?
| (a) | local minimum |
| (b) | local maximum |
| (c) | neither |
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| Question 10: (2 points)
Determine a critical value of the function
.
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