Part 2 | Test 2 | Time: 3 hours |
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- Simplify the expression to the from
*a*+*bi*. - 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. - 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. - Why are the following not functions?
- .
- .
- .

- Find the exact solution(s) to the equation . Find the extraneous solution.
- Find the exact solution(s) to the equation . Find the extraneous solution.
- Find the exact non-real solutions(s), if any, to the equation .
- Solve for
*x*. - Solve for
*x*. - Find the
**exact**vertex of the parabola . (No decimals) - Find an equation of the parabola that has a vertex at (8,3) and passes through the point (4,1).
- Find the maximum height of a ball that follows the path defined by the equation .
- Find an equation of a polynomial of degree 10 that has 3+
*i*as a zero. - Find the zeros of the polynomial .
- Divide by
*x*-6. What is the remainder? - What is the largest rational (exact) zero of the polynomial
- How many real zeros does the polynomial have?
- Find an equation of the slant asymptote to the graph of
- Is a zero of the polynomial
- Find the inverse of the function . If the domain needs to be restricted, state such a restricted domain. If the domain does not need to be restricted, explain.

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