# MAT 1316.02, Business Math II (T/Th 11:40-12:55, CA120), Fall 2015

### 15. Key for Quiz 5

http://math-blog.com/2007/06/04/a-10-minute-tutorial-for-solving-math-problems-with-maxima/ ---------------------------------------------

## Homework Assignments

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Advice because I love you like you are my own:

You MUST be able to multiply and factor polynomials
to succeed in this class! You must also be proficient with properties of exponents.
If any of the problems on Factoring, or Simplifying give you trouble,
then you need to spend some time right away brushing up
your basic algebra skills. You can use the links below for practice.

Multiplying Binomials with the FOIL method
Multiplying Other Polynomials
Factoring a difference of two squares
Factoring Polynomials One
Factoring Polynomials Two
Factoring Polynomials Three
Factoring Polynomials Four
Factoring Polynomials by Grouping

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HW0: Two key algebra skills you will need quickly in this course (and throughout the course) are
adding and multiplying polynomials and factoring polynomials. I will review these skills
Thursday in class. If you think you are weak or rusty on these two skills, read and study

Factoring Polynomials

Due: Start of class, Thursday, 8/27
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Remember to dress up pretty for class on Thursday for my seating chart pictures!

Good link for extra practice on multiplying and factoring polynomials is here.

HW1:
On the author's webpage (here), try all these problems and make sure you can do them
on a blank sheet of paper:
Example 1 a,b
Example 2 a-e
Example 3 a-d

On the practice-problems page (here), try all these problems and make sure you can do them
on a blank sheet of paper:
Problems 1-9 (notice that the solutions are there also).
On the additional-problems page (here), do problems 1-5,9,11,14-23.

On the author's webpage (here), try all these problems and make sure you can do them
on a blank sheet of paper:
Example 1 a,b,c,d
Example 2 a,b,c

On the practice-problems page (here), try the problems indicated and make sure you can do them
on a blank sheet of paper:
Problems 1-6 (notice that the solutions are there also).
On the additional-problems page (here), do problems 1-13.

R&S the author's section on factoring polynomials (here).

If you feel like you need additional practice on these key skills, use this link:
Good practice problems for multiplying binomials and factoring

R&S this link (we will cover this material on Tuesday): Integer Exponents

Due: Start of class, Tuesday, 9/1
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HW2:

Exponents:
Properties
Examples
Practice Problems 5-9

Simplifying Rational Expressions:
Full Explanation
Practice Problems

Lines:
Full Explanation
Practice Problems 1-11

You should be able to do any of the problems above. I would recommend that you do all of
the Practice Problems first and, if you have any trouble with those, do the additional
problems. Contact me if you have problems with them!

R&S Chapter 2, Section 1 on Limits and Continuity (pgs 73-78).

Due: Start of class, Thursday, 9/3
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HW3:  Evaluating Limits with the Graph and Calculator

I am going to summarize everything you need to know in a business calc course on
evaluating limits analytically in our lecture on Tuesday. You would probably be
better off not reading and studying anything. If you just feel that you must have an
idea of the theory behind what I am going to show you look at the two links below.
But we are going to take a very practical approach that includes most of the theory in
these two links and you really don't need all the theory behind it.

Link 1 (just skip the parts that seem to make no sense).
Link 2 (this is an excerpt from another Business Calc Text -
Mathematical Applications for the Management, Life,
and Social Sciences, 9th Ed., by Ronald J. Harshbarger
and James J. Reynolds).
Due: Start of class, Tuesday, 9/8
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Our first quiz over HW1-HW4 will be Thursday, 9/10
Remember to bring your study sheet and calculator!
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HW4:  Limits by the Algebraic/Analytic Method

Make sure you can do a problem like the examples covered in class
today on this handout (Ex's 3,4,5,8 and Checkpoint 5).

Do problems 1-11,15-27 odd on the handout above.

Due: Start of class, Thursday, 9/10
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Our first quiz over HW1-HW4 will be Thursday, 9/10
Remember to bring your study sheet and calculator!
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HW5:  Do the problems on this handout.
(Do them like we did the examples in class today - solutions here).

R&S pgs 97-105 in our text.
Due: Start of class, Tuesday, 9/15
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HW6:  Derivative Formulas and The Power Rule

Do problems 2,3,4-8 in our text
(pages 106 - just find the derivative of these, ignore the rest of the instructions)

Here is some additional explanation of what we are doing, read it if the problems seem difficult for you.

R&S pgs 107-113 in our text.

Note: The author's examples 5, 6, and 7 on pages 99-100 of our text are also excellent practice problems!

Due: Start of class, Thurs 9/17
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HW7:  Derivative Formulas - Product and Quotient Rules

Do problems 1-6 on this link (the solutions are there).
Do handout 1 (here)
( solutions are here )
Do handout 2 (here)
( solutions are here )
R&S pgs 107-112 in our text.
Due: Start of class, Tues. 9/22
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HW8:   Derivative Formulas - Chain Rule and Power Rule on Steroids

The text section on the Chain Rule is decent (pgs 114-121).
Examples 2 and 3 in these pages are both excellent.
Here is the additional section on the Chain Rule from a website
that I gave out in class today.

Do problems 7-12 on page 121 in our text. (solutions here)
Do problems 1-3,17 on this handout. (solutions here)
Do problems 1-6,27-29,36,43 on this handout. (solutions here)

Due: Start of class, Thurs 9/24
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Our second quiz over HW5, HW6, HW7 will be Thursday, 9/24
Remember to bring your study sheet and calculator!
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HW9:   Higher Order Derivatives

Do problems 1-15 odd on this handout.
R&S this handout.
Due: Start of class, Tues. 9/29
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HW10:  Marginal Analysis

Be able to do a problem like Examples 1,3,4,5,6,7,8 on this handout.

Do problems 3,5,11,13,17,19,27,35 on this handout.
Do the problems on this handout.

Due: Start of class, Thurs 10/1
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HW11:  Increasing/Decreasing functions; Derivative Review

Links to the WxMaxima program I demonstrated in class today are

Do the sign-graph handout ( here  ).

Do the derivative problems (and simplify) on this handout

Due: Start of class, Tues. 10/6
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HW12:  Finding and Interpreting Critical Points

Do the sign-graph handout ( here  ).

Due: Start of class, Thurs 10/8
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Our third quiz over HW8, HW9, HW10, and HW11 will be Thursday, 10/8
Remember to bring your study sheet and calculator!
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HW13  Optimization with the First Derivative Test

Do problems 3-6,8-11,14,15 on page 139 of our text.
solutions ( here )
Instead of following the text instructions for the problems,
just do them like our last examples in class:  find the critical
points, create the sign chart and sketch the graph showing all
"important" points (each critical point and the y-intercept).

R&S the text section 2.6 on concavity (pgs 122-126).

Due: Start of class, Tues. 10/13
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HW14:  Concavity and the Second Derivative

Here is an old set of lecture notes on this material. You might
find some useful examples in them.

Here is another old set of lecture notes on this topic.

Here is a good sample problem with the solution.

Lecture notes from today (10/13/2015)

Do all the problems on this handout. ( (solutions here) )
Do problems 7-9,11,12 in the text (pg 126) ( solutions here)

R&S this handout on Asymptotes.

Due: Start of class, Tues. 10/20
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HW15:  Rational Functions and Asymptotes

Lecture notes from today (10/20/2015)

Do problems 1-19 odd on the asymptotes handout (pgs 689-690).
(the answers are at the back of the handout).
(solutions are here (thank you to the student who requested these - you know who you are!))

Sample Problem 1 from 10/23 lecture

Sample Problem 2 from 10/23 lecture

Due: Start of class, Thur. 10/22
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Our fourth quiz over HW12, HW13, and HW14 will be Tuesday, 10/27
( HW15 on asymptotes will NOT be on this quiz!)
Remember to bring your study sheet and calculator!
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HW16:  Rational Function Applications

Do problems 35,37,38 on the asymptotes handout (pg 691).
problem 38 solution  here .

Do the problems on the Logs and Exponential Function Evaluation handout.
Due: Start of class, Thur. 10/29
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HW17:  Derivatives of Log and Exponential Functions

Do problems 1-7 on today's handout.
(the solutions are given with the problems)

Due: Start of class, Tues. 11/3
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HW18:  Log and Exponential Function Applications

Log-Exp-Apps handout 1
Application-Handout-2

Watch this video for the lecture.

Do the following problems from handout 1:
Pages 708-709, #'s 43,45
Page 715, #'s 47,53
(solutions  here  )

Do the second problem on handout 2.
(solutions  here  )

Due: Start of class, Thur. 11/5
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Remember that we will not meet for class on Tuesday! Just watch the
video above and do the homework. If you get stuck on something, take
a picture of it and email it to me.
See you Thursday!
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HW19  Implicit Differentiation

Lecture notes from today (11/05/2015)

Do problems 3-27,31,33 odd on the first page of
the Implicit Differentiation / Related Rates handout.

R&S section 11.4 on the handout (Related Rate Problems).

Due: Start of class, Tues. 11/10
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Our fifth quiz over HW16-HW19 will be Thursday, 11/12
Remember to bring your study sheet and calculator!
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HW20  Related Rate Problems

Do problems 3-9,17-23,29 (odd problems only) on page 730
of the related rates handout.

Due: Start of class, Thur. 11/12
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HW21  Introduction to the Antiderivative or Integral

If you missed Thursday's lecture, R&S pgs 163-188 in our text.
That is what I covered in class.

R&S pgs 190-195. (This is what we will do on Tuesday)

If you haven't done HW20 yet, this weekend would be a great time to get it done!

Due: Start of class, Tues. 11/17
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HW22  Basic Integral Rules

Do Section 3.3 #'s 1-21 (pg 196) in our text.
(solutions here)

Extra practice (with solutions):
Try #'s 1-13 on the problems here

R&S pgs 197-201 in our text.

Due: Start of class, Thur. 11/19
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HW23  Substitution Method and Integration Applications

Lecture notes from today (11/19/2015)

On the text problems from page 202
Do #'s 1,2,4-12
(solutions here.

On the Integration Applications handout:
On page 826, do #'s 27,29,31,39 (average value of a function problems)
On page 834, do #'s 1-9 odd (continuous income stream problems)
(detailed solutions here.

If you would like some more practice,
do problems 1-4,8,9,17a,17b here.
(solutions are included).

R&S Our text on two-var functions - pgs 234 - 254

Due: Start of class, Tues. 11/23
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HW24:  Functions of Two Variables - Intro and Partial Derivatives
Some of the text examples are representative of what you need to know how
to do from these pages. They are:

ex 5, pg 236
ex 7, pg 239
ex 8, pg 240
ex 13, pg 248

Do the following problems from the text:

pg 249: #'s 1-4,11-14,19-24

The following examples from pages 255-264 are excellent:

exs 3-5, pgs 258-259

Skip pages 260-261 and any problems dealing with contours
(we won't be doing any of that)

Do the following problems from the text:

Problems, pg 262: #'s 1-16

Solutions

Lecture Notes over this material from a previous semester.

R&S pages 265-271 in our text.

Due: Start of class, Tues 12/1
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HW25:  Optimizing Functions of Two Variables

Example 5 on page 271 is excellent.
Use it to see how to do problems 19 and 20 on page 273.

Do problems 1-3,8,10,13,14,16,19,20 on pages 272-273 of our text.
(solutions here)

Do problems 19 and 29 on this handout.
(full solutions for these two problems are in the solutions file above)

Due: Start of class, Tues 12/3
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Our final exam over HW22-HW25 will be:

Tuesday, 12/8 from 1-3 pm (for our 8:00-9:15 section)
Wednesday, 12/9 from 1-3 pm (for our 11:40-12:55 section)

Remember to bring your 5 study sheets and calculator!
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Note: On all emails for this course, start the subject line out with
MAT1316, followed by whatever else is appropriate. Emails without this
subject line formatting may not be accepted!

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