Temperature Dependent In-class Example
The decomposition of KClO3 is catalyzed by
MnO2:
MnO2
2 KClO3 2 KCl + 3 O2
The rate constant for the uncatalyzed reaction,
kuncat, measured at 100C, is 4.3x10-6
SECTION 1.5
Exponential Functions and Models
Exponential functions are some of the most common functions used to model data. An exponential function can be described
in terms of a starting point and a
SECTION 1.6
Models in Finance
Savings, investments, trust funds, car loans, and mortgages are functions that deal with the value of money over time. Many
functions with nancial applications are expone
SECTION 1.7
Constructed Functions
New functions can be created by combining known functions using addition, multiplication, subtraction, or division. Sometimes new functions can also be constructed us
SECTION 1.8
Logarithmic Functions and Models
1 Characteristic Behavior of Logarithmic Functions
In your precalculus class, you (should have) learned about logarithms: how they are dened, how they beha
SECTION 1.9
Quadratic Functions and Models
Quadratic functions form the third family of functions that we will discuss this semester that exhibit only a single type of
concavity over the entire input
SECTION 1.10
Logistic Functions and Models
Although exponential models are common and useful, it is sometimes unrealistic to believe that exponential growth can
continue forever. In many situations, f
SECTION 1.11
Cubic Functions and Models
Many dierent appearances of scatter plots of data can be reasonably modeled using a cubic function; however, they all have
one thing in commonthe presence of an
SECTION 2.1
Measures of Change over an Interval
One of the primary goals of calculus is to measure change that is occuring at a point. In preparation for understanding how
calculus is used to describe
SECTION 2.2
Measures of Change at a PointGraphical
The average rate of change of a quantity is a measure of the change in that quantity over a specied interval. The change
occuring at a specic point c
SECTION 2.3
Rates of ChangeNotation and Interpretation
1 Average Rate of Change vs. (Instantaneous Rate of Change)
Average Rate of Change:
measures how rapidly (on average) a quantity changes over an
SECTION 2.4
Rates of ChangeNumerical Limits and Nonexistence
The rate of change of a function at a point is equivalent to the slope of the line tangent to a graph of that function at that
point. A rat
SECTION 2.5
Rates of Change Dened Over Intervals
The rate of change at a specic point on a function can be represented as the limiting value of the slopes of secant lines
through that point and a seri
SECTION 2.6
Rate-of-Change Graphs
1 Rate-of-Change Information from Function Graphs
Suppose you are given the graph of a function f (x). At each point where the graph is smooth and continuous, we coul
SECTION 3.1
Simple Rate-of-Change Formulas
Recall the limit denition of the derivative:
f (x + h) f (x)
h
In Section 2.5, we used this limit denition to calculate the derivative of certain functions.
SECTION 1.4
Linear Functions and Models
Linear functions are often used to model situations in the real world. A linear function can be described in terms of a starting
point and a value added at regu
SECTION 1.3
Limits and Continuity
The use of limits to describe change sets calculus apart from algebra. In Section 1.2, limits are used to describe end behavior
of a function. Limits can also be used
SECTION 1.2
Function Behavior and End Behavior Limits
The behavior of real-world functions is often described verbally using conversational language such as growth, increase, and
decrease.
Lower priva
Chem 1415 Spring 2013
Dr. T. Martyn, Dept. of Chem. & Biochem., University of Oklahoma
In-class Example: Manipulating Equilibrium Constants
Unit 2 In-class Solutions
CHEM 1415
Spring 2013
Dr. T. Marty
Chem 1415 Spring 2013
Dr. T. Martyn, Dept. of Chem. & Biochem., University of Oklahoma
In-class Examples: Dissociation Reactions
Acetic acid (CH3COOH)
acid
Unit 3 In-class Examples
base
CH3COOH + H2O
Chem 1415 Spring 2013
Dr. T. Martyn, Dept. of Chem. & Biochem., University of Oklahoma
In-class Example: Using the H-H Equation
A 1.0 L solution is initially prepared to contain 0.12 M
NH4Cl . After p
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Chemistry 1415
EXAM 1
Spring 2007
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1. These tests are machine graded; therefore, be sure to use a No. 1 or 2 pencil for
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Chemistry 1415
EXAM 1
Fall 2007
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Chemistry 1415
EXAM 1
Spring 2008
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Chemistry 1415
EXAM 1
Fall 2008
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Lab Instructor_
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1. These tests are machine graded; therefore, be sure to use a No. 1 or 2 pencil for ma
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Chemistry 1415
EXAM 1
Spring 2009
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1. These tests are machine graded; therefore, be sure to use a No. 1 or 2 pencil for
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Chemistry 1415
EXAM 1
Fall 2009
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1. These tests are machine graded; therefore, be sure to use a No. 1 or 2 pencil for ma
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Chemistry 1415
EXAM 1
Spring 2010
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FORM A
Math 1743 Fall 2012 Exam I
Name: Section #:
i.d.#: Instructor:
Read all questions carefully and answer them completely. Show appropriate work to receive
maximum credit. In general, if you