'Critical number' presentation slideshows

Chapter 10

Chapter 10. The Basics of Capital Budgeting . Topics. Methods NPV IRR, MIRR Payback , discounted payback EAS (EAA). What is capital budgeting?. Analysis of potential projects. Long-term decisions; involve large expenditures . Steps in Capital Budgeting.

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Chapter 4

These are limiting factors that increase their resistance the higher the density gets ... 2) Specialization: Koala v. Crow. 3) Genetic variation in the gene ...

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Chapter 5 Graphs and the Derivative

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AP Calculus Section 3.1 Extrema on an Interval

AP Calculus Section 3.1 Extrema on an Interval. Definitions, Theorems, and Examples. Definition. Let f be defined on an interval I containing c. 1.) f(c) is a minimum of f on I if f(c) ? f(x) for all x in I. 2.) f(c) is a maximum of f on I if f(c) ? f(x) for all x in I. Extrema.

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3.3 Increasing and Decreasing Functions and the First Derivative Test

3.3 Increasing and Decreasing Functions and the First Derivative Test. After this lesson, you should be able to:. To determine algebraically when a function is increasing, decreasing. Apply the First Derivative Test to find relative extrema of a function . a b c. a b c.

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3.1 Extrema on an Interval

3.1 Extrema on an Interval. The mileage of a certain car can be approximated by:. At what speed should you drive the car to obtain the best gas mileage ?. The textbook gives the following example at the start of chapter 4:.

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4.3 1st & 2nd Derivative Tests

4.3 1st & 2nd Derivative Tests. Increasing or Decreasing? : If f ? ( x ) > 0 in an interval, then f is increasing in the interval. If f ? ( x ) < 0 in an interval, then f is decreasing in the interval. 1st Derivative Test c is critical number of f :

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AP Calculus BC Monday , 07 October 2013

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Chapter One: S pringfield R emanufacturing C ompany

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Maximum and Minimum

Maximum and Minimum. Absolute Maximum or Minimum. A function f has an absolute maximum at c if f(c)?f(x) for all x in the domain. The number f(c) is called the maximum value of f

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Increasing and Decreasing Functions

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Write an equation to model the height of the highway.

Write an equation to model the height of the highway. What is the deepest amount of fill dirt needed? When is the highway at its lowest point?. Lesson 3.1 Extrema on an Interval. Extrema of a Function

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Extrema on an Interval

Extrema on an Interval. Understand the definition of extrema of a function on an interval. Understand the definition of relative extrema of a function on an open interval. Find extrema on a closed interval. Standard 4.5a. Definition of Extrema.

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Exponential Growth and Decay

Exponential Growth and Decay. Section 3.5. Objectives. Solve word problems requiring exponential models. Find the time required for an investment of $5000 to grow to $6800 at an interest rate of 7.5% compounded quarterly.

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Section 4.3

Section 4.3. How Derivatives Affect the Shape of a Graph. INCREASING/DECREASING TEST. Theorem : (a) If f ?( x ) > 0 on an interval, then f is increasing on that interval. (b) If f ?( x ) < 0 on an interval, then f is decreasing on that interval. THE FIRST DERIVATIVE TEST.

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5.4 Exponential Functions: Differentiation and Integration

5.4 Exponential Functions: Differentiation and Integration. The inverse of f(x) = ln x is f -1 = e x . Therefore, ln (e x ) = x and e ln x = x. Solve for x in the following equations. Take the ln of both sides. Operations with Exponential Functions.

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The Derivative in Graphing and Application

The Derivative in Graphing and Application. Let f be defined on an interval, and let x1 and x2 denote points in that interval. f is increasing on the interval if f(x1)<f(x2) whenever x1<x2 f is decreasing on the interval if f(x1)>f(x2) whenever x1<x2

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