• 1 Page WS 5.2 Key
    WS 5.2 Key

    School: Kennesaw

  • 3 Pages 5.1 Notes
    5.1 Notes

    School: Kennesaw

    Sec 5.1: An Econ Application: Consumer & Producer Surplus Section Objectives: Given demand and supply functions, find the consumer surplus and the producer surplus at the equilibrium point. DEFINITION Suppose that consumer surplus describes the demand fu

  • 3 Pages 4.4 Notes
    4.4 Notes

    School: Kennesaw

    Section 4.4: Properties of Definite Integrals Section Objectives: Use the properties of definite integrals to find the area between curves. Solve applied problems involving definite integrals. Determine the average value of a function. THEOREM 5 For Fo

  • 3 Pages 4.3 Notes
    4.3 Notes

    School: Kennesaw

    Section 4.3: Area and Definite Integrals Section Objectives: Find the area under a curve over a given closed interval. Evaluate a definite integral. Interpret an area below the horizontal axis. Solve applied problems involving definite integrals. DEFI

  • 3 Pages 4.2 Notes
    4.2 Notes

    School: Kennesaw

    Section 4.2: Antiderivatives as Areas Section Objectives: Find the area under a graph to solve real-world problems Use rectangles to approximate the area under a graph. Example 1: A vehicle travels at 50 mi/hr for 2 hours. How far has the vehicle travel

  • 3 Pages 4.1 Notes
    4.1 Notes

    School: Kennesaw

    Section 4.1: Antidifferentiation Section Objectives: Find an antiderivative of a function. Evaluate indefinite integrals using the basic integration formulas. Use initial conditions, or boundary conditions, to determine an antiderivative. THEOREM 1 The

  • 2 Pages 3.6 Notes
    3.6 Notes

    School: Kennesaw

    Section 3.6: An Economics Application: Elasticity of Demand Section Objectives: Find the elasticity of a demand function. Find the maximum of a total-revenue function. Characterize demand in terms of elasticity. DEFINITION The elasticity of demand () i

  • 3 Pages 3.4 Notes
    3.4 Notes

    School: Kennesaw

    Section 3.4: Applications: Decay Section Objectives: Find a function that satisfies Convert between decay rate and half-life. Solve applied problems involving exponential decay. The equation , where , shows to be decreasing as a function of time, and t

  • 3 Pages 3.3 Notes
    3.3 Notes

    School: Kennesaw

    Section 3.3: Uninhibited and Limited Growth Models Section Objectives: Find functions that satisfy Convert between growth rate and doubling time. Solve application problems using exponential growth and limited growth models. RECALL Example: Differentia

  • 3 Pages 3.2 Notes
    3.2 Notes

    School: Kennesaw

    Section 3.2: Logarithmic Functions Section Objectives: Convert between logarithmic and exponential equations. Solve exponential equations. Solve problems involving exponential and logarithmic functions. Differentiate functions involving natural logari

  • 3 Pages 5.2 Notes
    5.2 Notes

    School: Kennesaw

    Section 5.2: Applications of Models Section Objectives: Perform computations involving interest compounded continuously and continuous money flow. Calculate the total consumption of a natural resource. Find the present value of an investment. Growth Fo

  • 5 Pages R Notes
    R Notes

    School: Kennesaw

    Chapter R: Functions, Graphs, and Models_ Section Objectives: Defining a function and its domain/range Linear functions Quadratic functions The graph of an equation is a drawing that represents all ordered pairs that are solutions of the equation. Exam

  • 1 Page WS 1.1 & 1.2 Key
    WS 1.1 & 1.2 Key

    School: Kennesaw

  • 1 Page WS 5.1 Key
    WS 5.1 Key

    School: Kennesaw

  • 1 Page WS 4.4 Key
    WS 4.4 Key

    School: Kennesaw

  • 1 Page WS 4.1-4.3 Key
    WS 4.1-4.3 Key

    School: Kennesaw

  • 1 Page WS 3.6 Key
    WS 3.6 Key

    School: Kennesaw

  • 1 Page WS 3.1 & 3.2 Key
    WS 3.1 & 3.2 Key

    School: Kennesaw

  • 1 Page WS 1.6 Key
    WS 1.6 Key

    School: Kennesaw

  • 1 Page WS 1.5 Key pg2
    WS 1.5 Key Pg2

    School: Kennesaw

  • 1 Page WS 1.5 Key pg1
    WS 1.5 Key Pg1

    School: Kennesaw

  • 1 Page WS 1.3 & 1.4 Key
    WS 1.3 & 1.4 Key

    School: Kennesaw

  • 2 Pages 3.1 Notes
    3.1 Notes

    School: Kennesaw

    Section 3.1: Exponential Functions Section Objectives: Graph exponential functions. Differentiate exponential functions. DEFINITION An exponential function Where is given by is any real number, () and . The number Example 1: Graph ( ) DEFINITION: ( We c

  • 3 Pages 2.6 Notes
    2.6 Notes

    School: Kennesaw

    Section 2.6: Marginals and Differentials Section Objectives: Find marginal cost, revenue, and profit. Find and Use differentials for approximations. DEFINITION Let and represent, respectively, the total cost, revenue, and profit from the production and

  • 3 Pages 1.1 Notes
    1.1 Notes

    School: Kennesaw

    Section 1.1: Limits: A Numerical and Graphical Approach _ Section Objective: Find limits of functions, if they exist, using numerical or graphical methods. DEFINITON: () The of a function , as approaches , is written This means that as the values of appr

  • 6 Pages math 1106 test 2 answer key-fall 08
    Math 1106 Test 2 Answer Key-fall 08

    School: Kennesaw

    Math 1106 Test 2 fall 08 Answer Key Cross Reference This cross reference will match the question numbers in the answer key to test versions 1 & 2. v.1 v.2 1 2 3 4 5 17 9 12 20 7 15 4 6 7 9 12 13 25 23 24 6 7 8 9 v.1 v.2 11 19 5 13 17 20 16 3 5 v.1

  • 5 Pages math 1106 test 1 answer key-fall 08
    Math 1106 Test 1 Answer Key-fall 08

    School: Kennesaw

    Test 1 Answers - Fall, 2008 1) x 2 6x 926 x 2 7x x 60 0 5 x 12 x x 986 0 5 Dx D5 -12 is an invalid answer x 986 5 986 981 _ 2) rate of change m 0.03 data point (x,y) 8, 1. 63 y y y m x x 1 1. 63 0. 03 x 1. 63 0. 03x y1 8 0. 24 or

  • 5 Pages m1106 test 3 answer key spring-08
    M1106 Test 3 Answer Key Spring-08

    School: Kennesaw

    Math 1106 Test 03 Spring 08 Answer Key To find the matching question for test 1 or test 2 use the following cross reference table: key v.1 v.2 1 2 3 4 5 21 22 23 24 25 5 22 4 17 3 16 19 25 23 24 3 18 8 10 22 20 17 23 24 25 key v.1 v.2 6 7 8 9 10 15

  • 6 Pages m1106 test 1 answer key- spring-09
    M1106 Test 1 Answer Key- Spring-09

    School: Kennesaw

    Test 1 Answers - Spring, 2009 Multiple choice answers # 1 2 3 4 5 6 7 8 9 10 11 V1 B B B D C C D D B B V2 C D A D B B B C A C # 12 13 14 15 16 17 18 19 20 21 22 V1 C B B B C D A A B B A V2 D D C A A D A C C A B Cross Reference Answer Key versus Vers

  • 4 Pages Section 2.3LN
    Section 2.3LN

    School: Kennesaw

    Lecture Notes Section 2.3 Product and Quotient Rules: Higher Order Derivatives. p.125 Product Rule - used when two expressions are multiplied together. Derivative of first factor Second factor Derivative of second factor First factor Or. Cross

  • 5 Pages Section 1.3LN
    Section 1.3LN

    School: Kennesaw

    Lecture Notes Section 1.3 Linear Functions functions whose graphs are a sraight line p.26 , example 1.3.1 Two types of cost- fixed costs and variable costs Fixed costs are costs that are incurred even if no units are produced variable costs are costs

  • 4 Pages Section 1.1LN
    Section 1.1LN

    School: Kennesaw

    Lecture Notes Section 1.1 Functions p.2 `the value of one variable depends on the value of a second one' the value of a rare coin depends upon its age the value of the rare coin is a function of its age RareCoin(x) 27.3x107 The value of Rare Coi

  • 3 Pages section_2.1_lecture_notes
    Section_2.1_lecture_notes

    School: Kennesaw

    Lecture Notes Section 2.1 Increasing, Decreasing and Piecewise Functions p.166, Increasing, Decreasing and Constant Functions mechanical answer increasing if it rises from left to right decreasing if it drops from left to right constant if it neit

  • 3 Pages 1.2 Notes
    1.2 Notes

    School: Kennesaw

    Section 1.2: Algebraic Limits and Continuity_ Section Objectives: Develop and use the Limit Principles to calculate limits. Determine whether a function is continuous at a point. LIMIT PROPERTIES () If and we have the following: () L1 The limit of a con

  • 2 Pages 1.3 Notes
    1.3 Notes

    School: Kennesaw

    Section 1.3: Average Rates of Change _ Section Objectives: Compute an average rate of change. Find a simplified difference quotient. An The average rate of change of is the slope of a line between with respect to , as changes from ratio of the change in

  • 2 Pages 1.4 Notes
    1.4 Notes

    School: Kennesaw

    Sec 1.4: Differentiation Using Limits of Difference Quotients Section Objectives: Find derivatives and values of derivatives Find equations of tangent lines The slope of the tangent line at is This limit is also the For a function function of its define

  • 3 Pages 2.5 Notes
    2.5 Notes

    School: Kennesaw

    Section 2.5: Max-Min Problems; Business & Econ Applications Section Objectives: Solve maximum and minimum problems using calculus. A Strategy for Solving Maximum-Minimum Problems: 1. Read the problem carefully. If relevant, make a drawing. 2. Make a list

  • 2 Pages 2.4 Notes
    2.4 Notes

    School: Kennesaw

    Section 2.4: Using Derivatives to Find Absolute Max & Min Section Objectives: Find absolute extrema using Maximum-Minimum Principle 1. Find absolute extrema using Maximum-Minimum Principle 2. DEFINITION: Suppose that is an is an is a function with domai

  • 3 Pages 2.3 Notes
    2.3 Notes

    School: Kennesaw

    Sec. 2.3: Graph Sketching: Asymptotes & Rational Functions Section Objectives: Find limits involving infinity. Determine the asymptotes of a functions graph. Graph rational functions. DEFINITION: A rational function is a function that can be described

  • 4 Pages 2.2 Notes
    2.2 Notes

    School: Kennesaw

    Section 2.2: Using Second Derivatives to Find Max & Min Values and Sketch Graphs Section Objectives: Find the relative extrema of a function using the Second-Derivative Test. Sketch the graph of a continuous function. Suppose that is a function whose de

  • 4 Pages 2.1 Notes
    2.1 Notes

    School: Kennesaw

    Section 2.1: Using Derivatives to Find Max & Min Values & Sketch Graphs Section Objectives: Find relative extrema of a continuous function using the First-Derivative Test. Sketch graphs of continuous functions. A function is increasing over if, for ever

  • 2 Pages 1.8 Notes
    1.8 Notes

    School: Kennesaw

    Section 1.8: Higher Order Derivatives Section Objectives: Find derivatives of higher order. Given a formula for distance, find velocity and acceleration. Higher Order Derivatives () Consider the function given by . Its derivative, ( ) is given by () . T

  • 3 Pages 1.7 Notes
    1.7 Notes

    School: Kennesaw

    Section 1.7: The Chain Rule Section Objectives: Find the composition of two functions. Differentiate using the Extended Power Rule or the Chain Rule. THEOREM 7: The Extended Power Rule Suppose that is a differentiable function of . Then, for any real nu

  • 3 Pages 1.6 Notes
    1.6 Notes

    School: Kennesaw

    Section 1.6: Differentiation Techniques: The Product and Quotient Rules Section Objectives: Differentiate using the Product and the Quotient Rules. Use the Quotient Rule to differentiate the average cost, revenue, and profit functions. THEOREM 5: The Pr

  • 3 Pages 1.5 Notes
    1.5 Notes

    School: Kennesaw

    Section 1.5: Differentiation Techniques: The Power & SumDifference Rules Section Objectives: Differentiate using the Power Rule or the Sum-Difference Rule. Differentiate a constant or a constant times a function. Determine points at which a tangent lin

  • 1 Page MATH 1106-Syllabus-Review-Statement
    MATH 1106-Syllabus-Review-Statement

    School: Kennesaw

    Course Syllabus Review Statement And Signature Form I have read the syllabus for MATH 1106, Spring Semester 2009, and have had an opportunity to ask the instructor any questions I may have about it. I understand its contents, including the course req

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