Math 150 Lecture 002  Sixth Homework Assignment
This assignment is related to
For discussion at recitation on T Oct. 20, and Th Oct. 22.
MAPLE:
 Go through the worked Sample Problems for Chapter 4. This
material is found on pages 139  140 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 Demonstration #5.
 MAPLE ASSIGNMENT #1 (Due on Monday,
October 26)
 RULES:
 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 printout 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: 211  218), and TA name.
 Do the following two problems
 Problem 11 on page 184 of your Lab
Manual (Section on "Derivative Problems.")
 Consider the function x^45*x^3+3*x7 on the interval
from 1 to +4.
 Find the critical points.
 Find the maximum and minimum on this interval.
 Find the inflection points.
 Give a good plot of the function on this interval.
(You will have to experiment with restricting the "y"
range.)
READING: Chapter 4 Sections 6 and 7. These sections cover
one of the most important applications of the differential calculus
 the use of derivatives in solving optimization problems. This
material should receive your careful attention!
Solution Error: Problem 23, section 4.7. The minimum for
this problem does not occur at an integer point. The text concludes
correctly that one has to have an integer number of orders. The
integer nearest the minimum point is 45. From this it follows that
the number ordered each time is 2,000,000/45 (i.e. 44445 (the next
higher integer)  not 44,721 as given in the answer section of the
text).
CORE PROBLEMS: Write up, for your own record, solutions to
the Core
Problems for Chapter 4 sections 6 and 7.
ADDITIONAL PROBLEMS: Work as many of the odd numbered
review exercises for Chapter 4 as you can.
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:

#4, 23

Spring 1997:

#11, 20

Fall 1997:

#9

Spring 1998:

none this time

For the directory of homework assignments, see HOMEWORK.