Part 2 | Test 2 | Time: 3 hours |
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- Simplify the expression to the from
*a*+*bi*.

**Answer:**. - Solve the equation for
*x*. List the**exact**answer(s), not approximation(s). A decimal answer is not an exact answer; it is an approximation. No credit will be given for an approximation.

**Answer:**The exact solutions are: . - A farmer wants to construct a rectangular livestock pen so that
he maximizes the area with 14,884 feet of fencing. Find the
**exact**dimensions of the pen.

**Answer:**The fence should be a square with side length 3721 feet. - Why are the following not functions:
- .

**Answer:**This equation describes a circle, and therefore its graph fails the vertical line test. - .

**Answer:**The points (6,0) and (6,-7/6) both lie on the graph of this equation, so the equation fails the vertical line test. - .

**Answer:**This equation describes a vertical line. Vertical lines fail the vertical line test.

- .
- Find the exact solution(s) to the equation
. Find the extraneous solution.

**Answer:**The solution is . The extraneous solution is . - Find the exact solution(s) to the equation
. Find the extraneous solution.

**Answer:**The solutions are: and . The extraneous solutions are and . - Find the exact non-real solutions(s), if any, to the equation
.

**Answer:**The exact non-real solution is . - Solve for
*x*.

**Answer:**The solutions are the numbers satisfying ,

or in interval notation, . - Solve for
*x*.

**Answer:***x*>6. - Find the
**exact**vertex of the parabola . (No decimals)

**Answer:**The vertex is . - Find an equation of the parabola that has a vertex at (8,3) and
passes through the point (4,1).

**Answer:**. - Find the maximum height of a ball that follows the path defined
by the equation .

**Answer:**The maximum height is 9820. - Find an equation of a polynomial of degree 10 that has 3+
*i*as a zero.

**Answer:**. - Find the zeros of the polynomial
.

**Answer:**and . - Divide by
*x*-6. What is the remainder?

**Answer:**The remainder is 22. - What is the largest rational (exact) zero of the polynomial

**Answer:**The largest zero is . - How many real zeros does the polynomial
have?

**Answer:**It has 3 real zeros, which are*x*=-2 and*x*=1 (double root). - Find an equation of the slant asymptote to the graph of

**Answer:***y*=*x*-6. - Is a zero of the polynomial

**Answer:**Yes, it is a zero. - Find the inverse of the function . If
the domain needs to be restricted, state the restricted domain. If
the domain does not need to the restricted explain.

**Answer:**There are two solutions:when the domain is restricted to the interval , or

when the domain is restricted to the interval .

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