See attachment.

  1. In the following Exercises, find all real solutions. Check your answers

Round your answers to three decimal places.

  1. In the following Exercise, use the given complex numbers Z and W



And find and simplify the following. (Hint: Please see section 0.10 of the ebook)

  1. In the following Exercise, the revenue and cost functions are given.

Where x is the number of computers (in thousands), and R(x) and C(x) are in thousands of dollars.


  1. Find the profit function P(x).

  1. Find the number of chips which need to be sold in order to maximize profit.

  1. Find the maximum profit.

  1. The height of an object thrown upward with a velocity of 40 ft/sec from the roof of a 100 feet tall building is modeled by


Here, h is the height of the object off the ground (in feet), t seconds after the object is thrown.


How long does it take before the object hits the ground?

  1. The height of a rocket thrown upward with a velocity of 40 ft/sec from the roof of a 100 feet tall building is modeled by


Here, h is the height of the object off the ground (in feet), t (seconds) after the object is thrown.


  1. When does the rocket reach its maximum height above the ground?

  1. What is its maximum height?

6) In the following Exercise, solve the inequality. Write your answer using interval notation.

7) In the following Exercise, solve the inequality. Write your answer using interval notation.

8) Perform the indicated operation and simplify

9) Solve the following equation.

10) Given the function.

  1. Find the domain of f(x).

  1. Identify any vertical asymptote of the graph of y = f(x).

  1. Identify any holes in the graph.

  1. Find the horizontal asymptote, if it exists.

  1. Find the slant asymptote, if it exists.

  1. Graph the function using a graphing utility and describe the behavior near the asymptotes.