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MATH 107 Quiz 4

NAME: _______________________________

I have completed this assignment myself, working independently and not consulting anyone except the instructor.

INSTRUCTIONS

· Quiz 4 is worth 100 points. There are 10 problems, some with multiple parts. This quiz is open book and open notes . This means that you may refer to your textbook, notes, and online classroom materials, but you must work independently and may not consult anyone (and confirm this with your submission). You may take as much time as you wish, provided you turn in your quiz no later than Tuesday, 09/29/2020 by 11:59 PM.

· Show your work. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the quiz, or if you prefer, create a document containing your work. Scanned work is acceptable also. In your document, be sure to include your name and the assertion of independence of work.

If you have any questions, please contact me in ask the prof. You may send email if you could not write all details of the problem.

Problem # 1: Simplify

Hint: Foil using complex value for ‘i’. You may use TI calculator if you have one. Or use Desmos calculator. You may find interesting a calculator called Microsoft Mathematics. It’s free from Microsoft. Works fine. Only I do not prefer plots form this. It solves almost every equation, inequality and complex expressions.

Problem # 2: Use the quadratic formula to find the exact solutions:

Problem # 3: Find the exact solution(s) for following rational equation:

Hint: Please find LCD first. Then simplify to find ‘x’.

Problem # 4

Draw the graph using Desmos calculator or TI calculator.

Problem # 5: Solve and write your answer in interval notation:

Problem # 6: For the function:

1. State the Domain

2. State the vertical asymptotes

3. State the horizontal asymptote

4. State the y-intercept (as a point with coordinates)

5. State the x-intercept (as a point with coordinates)

6. Graph the function (if you have scanner or Screen Saver)

Hint: Problem 6 is rational function and has asymptotes. Read about the horizontal, vertical and slant asymptotes.

Problem # 7

Solve and write your answer in interval notation:

Hint: Solve as inequality or just solve as a quadratic equation. Once you found the answer insert the inequality required.

Problem # 8: Graph the function

Hint: This is not hard, use Desmos or TI. Then find zeros/x-intercepts/roots of the solutions. You may look for multiplicity which guarantees the solution of a polynomial. This is a fourth order polynomial.

9. For z = 5+2i and w = 7 i, find z/w. That is, determine and simplify as much as possible, writing the result in the form a + bi, where a and b are real numbers. Show the work and attach a screenshot if need be.

10. Consider the equation 5x2 + 20 = 16x. Find the complex solutions (real and non-real) of the equation. Simplify as much as possible. Show the work and attach a screenshot if need be.

Scratch work:

Due 09/22/2020 by 11:59 PM Instructor: Dr. K.S. Altmayer