Math 142: Unit 9

Deadline: Friday May 3

Topics
In this unit, we continue our study of the conic sections with investigations on translation and rotation of axes. The course concludes with a study of parametric equations.

• Translation of axes (11.4)
  • standard equation of a translated conic
  • finding axes, foci, etc., of translated conics
  • finding equations of translated conics
• Rotation of axes (supplementary pamphlet)
  • general equation of a conic section
  • finding the angle of rotation
  • converting the equation of a rotated conic to the standard equation of a translated conic
  • finding axes, foci, etc., of rotated conics
• Parametric equations (11.5)
  • definition of parametric equations
  • graphing a plane curve given by parametric equations
  • eliminating the parameter
  • projectile motion
  • finding parametric equations of conic sections

Study guidelines

• Section 11.4: Translation of axes
  • Reading: pages 811-819.
    Read and work through examples 1-4 and their associated matched problems.
    Read and respond to "Explore and Discuss" 2.
  • Problems: pages 820-821 #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 27, 29, 31, 33, 35, 37, 39, 41
    • More practice problems, with solutions
      
      
• Supplementary pamphlet: Rotation of axes
  • Reading: Rotation of Axes supplementary pamphlet
  • Problems: pamphlet exercises #1-10
    
    
• Section 11.5: Parametric equations
  • Reading: pages 821-827.
    Read and work through examples 1 and 2 and their associated matched problems.
    Read and respond to "Explore and Discuss" 1.
  • Problems: pages 827-828 #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 27, 29, 31, 33, 35, 39, 40, 41, 42
    • More practice problems, with solutions
      
      
• Supplementary material (optional) for sections 11.4-5
  • Schaum's Precalculus Outline, chapters 39 and 40 and parts of 37, 38, and 28
  • Additional applications #4-5 for chapter 11, with answers.
  • Additional exercises and demonstrations provided by other websites, for chapter 11.
  • Answers to review problems from the textbook.
  • Calculator key stroke guides
  • The CD-ROM that came with your textbook has tutorials, practice exams, and interesting "Interactive Diagrams".
  • Browse through the Archive Center on the NetTutor web site. Detailed solutions to selected problems are saved in the Archive Center.

Unit Exam #9
After completing the above work, do the following:

1. Read the exam description:
   • This exam has 20 questions, and will count 20 points toward your grade. 
   • This exam has a one hour time limit.
   • About 40% of the questions are on section 11.4, 40% on 11.5, and 20% on rotation of axes.
   • Unless otherwise specified, all questions on this exam require an exact answer. You should not try to use a calculator approximation for these questions.
   • Be sure to look under the entry box for the type of answer expected.
     • Some problems expect a list of values or formulas separated by commas, such as 16,9. The values must be listed in the order requested in the problem.
     • The answer to some problems is an equation (for example, the equation of a line). In this case, simply type in the equation. For example, your answer might be y=2x-3.
   • For this exam, it will be helpful if you know how to graph curves given by parametric equations using your calculator.
2. Complete the online Unit 9 Pretest assignment for Math 142. You may use your book if you wish, and redo the pretest as many times as you like. Your pretest score will be scaled to 5 points maximum.
   • Directions: Click on the link above for your class, then choose the Unit 9 Pretest.
   • The pretest must be completed by the deadline date listed at the top of this page.
     However, you may redo the pretest as many times as you like before the due date.
     Your best score counts, and it will be rescaled to 5 points maximum.
3. If you are having trouble with any of the problems listed above or on the pretest or practice exams, make use of the help resources listed on the Help page.
4. Arrange with your proctor to take the online proctored Unit 9 Exam assignment for Math 142. Remember to bring identification, and remember that you will not be able to take the unit exam after the deadline date given at the top of this page. You may NOT use your book or notes or calculator on this exam.
   • Directions: Click on the link above for your class, then choose Unit 9 Exam.
   • The proctored unit exam must be completed by the deadline date listed at the top of this page, and may be repeated under certain conditions. See the Detailed Schedule page for Math 142 for specific rules.

   Note: Remember that you can always go back and take practice exams on this unit for Math 142 after the deadline has passed. In particular, this will help you prepare for the midterm and final exams.

   • Directions: Click on the link above for your class, then choose Unit 9 Exam. After the deadline has passed, this exam will be available in practice mode.

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