4.4 APPLICATIONS OF OPTIMIZATION TO MARGINALITY
1
4.4 Applications of Optimization to Marginality
Management of most businesses always aim to maximizing profit. In this
section we will use the derivative to optimizie profit and revenue functions.
Optimizi
A person standing close to the edge on top of a 144foot building throws a ball
e tically up a d. The uad atic function h t = 6t^ + 8t+ 44
h(t)=16t^2+128t+144 models the ball's height about the ground, h(t)
in feet, t seconds after it was thrown.
a) What
OFFICE CLEANING CHECKLIST
DAILY CLEANING
Offices & Conference Rooms
Empty all trash and replace trash bags as needed.
Vacuum office rugs (execs offices/ at least twice a week)
Thoroughly dust all surfaces, including desks, files, windowsills, tables, and
NAME: Math142 Quiz 4 Spring 2016
M. Wallace
Put answers in spac. s pro ided unless otherwise stated, SHOW ALL WORK. (No Work = No Credit)
Any answerswithou ed, supporting work will not receive full credit even if the answer is correct.
Remember that you l
NAME: _
Math141 Practice Chapter 3
M. Wallace
Put answers in spaces provided unless otherwise stated. SHOW ALL WORK.
Any answers without detailed, supporting work will not receive full credit  even for correct answers.
Remember that you lose points for s
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Definition of the Six Trigonometric Functions
Right triangle denitions, where 0 < 6 < 7r/2.
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Circular function denitions. where 8 is any angle.
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NAME: Math
PROJECT ACTIVITY : Trigonometry
TOPIC Unit Circle
Explore Degree and Radian Measure
Explore x and y coordinates on the Unit Circle
GOALS Investigate Odd and Even functions
Investigate the relationship of Cofunctions
Examine how trigonometric f
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Math142 Exam 1 Spring 2016
M. Wallace
 we stated. SHOW ALL WORK. (No Work= No Credit)

Put answers In spaces provide 117] 
THIS. its AN EXAM: I'Any anSWers without detailed, supporting work will not receive full credit even for
NAME: _
Math141 Handout 2016
M. Wallace
2x 8
1. Identify the following for h(x) =
.
x 3
(e) Sketch of h(x).
(a) Vertical Asymptote(s): _
(b) Horizontal Asymptote: _
(c) xintercept(s): _
(d) yintercept: _
(f) Find inverse function of h(x), and graph it.
6/14/2017
WAMAPAssessment
HW12
Name: Becky Gassaway
You may reattempt these questions as many times as you wish, without penalty, until you are satisfied with
your results or until the due date and time.
Use aCALCULATOR for this section.On #3, just take t
NAME:
Math 142
P ROJECT :
SINE and COSINE CURVES
Must be COMPLETE with ALL DIRECTIONS FOLLOWED in order to be graded
TOPIC
Graphs of f(x) = sin x and g(x) = cos x
Explore the parent graphs of the sine and cosine functions
GOALS
Examine the various charact
Math142 EXAM 2  Spring 2015
M. Wallace
stulas in spaces provided unless otherwise stated. SHOW ALL WORK. (No Work = No Credit)
ny answers without detailed, supportng work will not receive full credit even if the answer is correct.
Remember'tlmtyou lose
NAME: _
2017
Math151 Extra Credit INCLASS Work Spring
M. Wallace
(+12 Exam Points) Put answers in spaces provided unless otherwise stated.
SHOW ALL WORK. (No Work = No Credit) No negative exponents in any answer. Simplify answers completely.
Any answers
NAME: Math142 Quiz 2 Spring 2016 "
' M. Wallace .5
Put answers in spaces ed unless otherwise stated. SHOW ALL WORK. (No Work = No Credit)
Any answers without detailed, supporting work will not receive full credit h even if the answer is correct.
Remember
6/14/2017
WAMAPAssessment
HW11
Name: Becky Gassaway
You may reattempt these questions as many times as you wish, without penalty, until you are satisfied with
your results or until the due date and time.
To really be serious about homework and using it to
NAME: _ Mathl42 EXAM 3 FALL 2013
i M. Wallace
Put answers in spaces provided unless otherwise stated. SHOW ALL WORK. (No Work = No Credit)
, tpporting work W1 not receive full credit even if the answer is correct.
' _t , 01' following directions, and unc
6/14/2017
WAMAPAssessment
HW14
Name: Becky Gassaway
You may reattempt these questions as many times as you wish, without penalty, until you are satisfied with
your results or until the due date and time.
Somequestions should be done with the Power Rule of
6/14/2017
WAMAPAssessment
HW1 Intro to WAMAP
Name: Becky Gassaway
I suggest you play with the entries a bit. Certainly, "Try a similar problem" to ensure getting 100% on the
assignment.
#1 Points possible: 1. Total attempts: 2
ENTERINGNUMERICALANSWERS
Thi
6/14/2017
WAMAPAssessment
HW27
Name: Becky Gassaway
You may reattempt these questions as many times as you wish, without penalty, until you are satisfied with
your results or until the due date and time.
#1 Points possible: 1. Total attempts: 2
Evaluateth
Please make sure you are familiar with the Example Problems in your reading assignments
as well as the problems in the videos for this module.You are required to do the following
problems prior to taking the test. Please show your work and explain your an
Madison Lepley
Exercise 25A Pg. 43
Accounting 101
Account
Cash
Rent Expense
Accounts Payable
Service Fees
Supplies
Wages Expense
Ramon Martinez, Drawing
Ramon Martinez, Capital
Prepaid Insurance
Accounts Receivable
Classification
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E
L
R
A
E
OE
OE
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