# MAT 1316, Business Math II Summer 2, 2016

### 9. Two Variable Function Evaluator

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## 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 always use the sections recommended in the
text for review. Here are some websites with practice problems. You might try these
as well. Keep reviewing until you can multiply, factor and simplify the polynomials
given in the Chapter Warm-up and in the first assignment from section 9.1.

Algebra Practice Material:
A good link for practice on multiplying polynomials and factoring:
Practice problems on factoring or multiplying polynomials

Good tutorial with practice problems:
A good review, examples, and test problems on factoring

Good practice problems:
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

Good Problems for practice from our text:
On Multiplying, Adding and Subtracting Polynomials:
Section 0.5, problems 13-65 odd; Chapter 0 Review, problems 45-61

On Factoring and Simplifying Polynomials:
Section 0.6, problems 1-57 odd; Section 0.7 1-21 odd; Chapter 0 Review, problems 63-73,77

On Properties of Exponents:
Section 0.3, problems 1-55 odd; Section 0.4 11-31 odd; Chapter 0 Review, problems 21-31
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Good links to a site that explains the concepts and works examples:

On Integer Exponents and Properties
On Rational Exponents and Properties
On Adding, Subtracting and Multiplying Polynomials
On Factoring Polynomials
On Simplifying Rational Expressions
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HW1:  9.3 #'s 1,15,17,39,41; R&S 9.4-9.6

Due: Start of class on Tuesday, 5/10
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HW2:  9.4 #'s 1-21,43,47 odd problems only
9.6 #'s 5-17 odd
R&S 9.5,9.7,9.8

Due: Start of class on Wednesday, 5/11
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HW3:  9.5 #'s 5,7,11,17
9.6 #'s 37,41
9.7 #'s 13-25 odd, 33,37
R&S 9.8 & 9.9

Due: Start of class on Thursday, 5/12
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HW4:  9.8 #'s 21,23,41
9.9 #'s 19,27
Chp 9 Review #'s 91,95,107

Do all problems on the Marginal Analysis Handout: (here ).

Answers to the Marginal Analysis Handout: (here ).

R&S 10.1-10.2

Due: Start of class on Friday, 5/13
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HW5:   Increasing/Decreasing functions, Optimal Values

Do the sign-graph handout ( here  ).

Do the critical points handout ( here  ).

10.1 15,17,25 - do these like we did in class. Find your derivative, your critical points,
draw your sign graph and sketch the graph

R&S 10.2

Here are some old lecture notes from previous semesters that cover this material.
They have some examples that are helpful study material:
Lecture notes for section 10.1 on Monday and Monday, Feb 13, 2013
Lecture notes for section 10.1 on Monday and Tuesday, Feb 14, 2013
Lecture notes for section 10.1b on Monday, Feb 18, 2013
Lecture notes for section 10.1b on Tuesday, Feb 19, 2013
Due: Start of class on Monday, 5/16
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We will take our first exam over HW1-4 on Monday (5/16).
Remember to bring your study sheets and calculator!
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HW6:   10.1 #'s 51,53,57,59 - Graph each function and find all maximums or minimums.

R&S 10.2,10.3,10.4

Due: Start of class on Tuesday, 5/17
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HW7:  10.2 #'s 15,17,19,21,23,37,41
10.3 #'s 9,13,15,17,25,27,33,35,37,41

R&S 10.5,11.1,11.2

Due: Start of class on Wednesday, 5/18
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HW8:  11.1 #'s 1,3,5,7,25,27,29,31,43,45
11.2 #'s 1-27 odd, 45

R&S 11.3,11.4

Due: Start of class on Thursday, 5/19
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HW9:  11.3 #'s 1,3,5,7,19,25,41
11.4 #'s 1,3,5,7,9,17,19,23,29

Do this Related Rate Problem (Similar to Example 4 in 11.4):
Suppose that oil is spreading in a circular pattern from a leak
at an offshore oilrig. If the the circumference is increasing
at a rate of 50 miles per day, how fast is the radius increasing?
Use the formula for the Circumference of a circle:  C = 2 ⋅ π ⋅ r

R&S 14.1,14.2

Due: Start of class on Friday, 5/20
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We will take our second exam over HW6-9 on Monday (5/23).
Remember to bring your study sheets and calculator!
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HW10:  14.1 #'s 9-21,23,25,33
14.2 #'s 1-17,27,29,31,35,49,51
14.3 #'s 3,5,7,21

R&S 14.4

Due: Start of class on Monday, 5/23
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HW11:  Finish HW10!

R&S 14.4, 12.1

Due: Start of class, Tuesday, 5/24
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HW12:  Optimization of Two-Variable Functions

14.4 #'s 1,5,11,13,19*,23,29*

12.1 #'s 5-29 odd

R&S 12.3-4

Due: Start of class on Wednesday, 5/25
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HW13:  Antiderivatives and Indefinite Integrals

12.1 #'s 39,41
12.2 #'s 3-15,19,21,25,27,43
12.3 #'s 1-15,43
12.4 #'s 1-11

R&S 13.1-4

Due: Start of class on Thursday, 5/26
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HW14:   Definite Integrals and Applications

13.2 #'s 1-7,13,19,21,53
13.3 #'s 37,39,
Do these problems from 13.4

Due: Start of class on Friday, 5/27
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We will take our third exam over HW10-14 on Friday (5/27).
Remember to bring your 4 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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