## Math 150 Lecture 002 - Twelfth Homework Assignment

This assignment is related to

### For discussion at recitations on T Dec 8 Th Dec 10.

#### *****REMINDER*****

Exam #5 on Tuesday, December 1 will cover the course material through Chapter 6.

#### MAPLE:

• Go through the worked Sample Problem for Chapters 7 and 12. This material is found on pages 147 - 148 of the Lab Manual. I suggest that you first try to do the problems using MAPLE on your own. Then compare your solutions with those in the Lab Manual.
• Work through Demonstrations #14.

•  MAPLE ASSIGNMENT #2 (Due on Friday, December 4)
• RULES:
• No papers will be accepted after December 4.

• You may work on these problems with other students in Math 150, and you may seek guidance (not solutions) from your TA's or other normal sources of Math Help. However, once you understand how to use MAPLE to solve these problems, you must create your own version of the solutions. The paper that you turn must be your own work in your own words -- not what someone else is able to do for you.
• Your paper should be the print-out of a MAPLE session including the output of all MAPLE commands.
• Note that you can include lines of pure text . You must add notes between your MAPLE commands that explain the steps you are taking. Sequences of MAPLE commands with no notes will receive no credit.
• The first line of text must include your name, recitation (one of: 201 - 208, 251, 252), and TA name.
• Problem:
• Give as complete an analysis as you can of the function
f(x) = (2.3*x^3-1.7*x)/(4.1*x^3-3)
• Your analysis should include a good plot, and information on asymptotes, intercepts, critical points, inflection points, and concavity. Be sure that you copy the function accurately.
• Bonus Problem (Optional):

READING: Chapter 7 Section 4, and Chapter 12 Sections 3 & 4.

CORE PROBLEMS: Write up, for your own record, solutions to the Core Problems for Chapter 7 section 4 and Chapter 12 Sections 3 & 4.

Chapter 12 Section 4 #43. Since the lungs are never empty of air, the problem should have specified an initial air volume.

OLD FINAL EXAM PROBLEMS: Final Exams for the past eight semesters are included at the back of your Math 150/151 Lab Manual. For this week's assignment you should work the following problems from the old final exams:

 Fall 1996: # 6, 8, 11, 16, 17 Spring 1997: # 9, 13, 14 Fall 1997: # 11 Spring 1998: # 2, 11, 12, 15, 17

Correction to Old Final Exam Answers:

Spring 1998 # 11(ii): Answer should be (1 - (1/x) + (2/x^2) + (2/x^3))*exp(1/x)

Spring 1998 #12: Answer should be sqrt(1+(sqrt(3))/2) - 1. This is the same as (1/2)*(sqrt(3) - 1).

We will review the earlier Old Final Exams in class on the following dates. I suggest that you work these exams before we discuss them in class. That way you will be able to ask questions about the parts you do not understand.

Wednesday, December 2: Old Final Exam from Fall 1994

Friday, December 4 : Old Final Exam from Spring 1995

Monday, December 7: Old Final Exam from Fall 1995. Course Evaluation

Wednesday, December 9: Old Final Exam from Spring 1996

Friday, December 11: Wrap-up Review. Final Exam instructions.

For the directory of homework assignments, see HOMEWORK.