'Instantaneous rate' diaporamas de présentation

Chapter 3 Introduction to the Derivative Sections 3.5, 3.6, 4.1 and 4.2

Chapter 3 Introduction to the Derivative Sections 3.5, 3.6, 4.1 and 4.2. Introduction to the Derivative. Average Rate of Change The Derivative. Average Rate of Change. The change of f ( x ) over the interval [ a , b ] is.

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Chemical Kinetics

Chemical Kinetics. BLB 11 th Chapter 14. Chemical Reactions. Will the reaction occur? Ch. 5, 19 How fast will the reaction occur? Ch. 14 How far will the reaction proceed? Ch. 15. Expectations. Review: concentration units, graphing (line, slope) Work with reaction rates.

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Instantaneous Rate of Change

Instantaneous Rate of Change. Sections 3.1-3.3 Section 4.1. Average Change. Defined equations in terms of their changes e.g., exponential ? constant percentage change Will use this concept motivate derivatives. Average Change. Rate of change Difference between two values

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Express the repeating decimal 0.5757... as the ratio of two integers without your calculator.

Warm-Up. Express the repeating decimal 0.5757... as the ratio of two integers without your calculator. Warm-=Up. x = 0.57. Express the repeating decimal 0.5757... as the ratio of two integers without your calculator. 100x = 57.57. 99x = 57 x = 57/99. What is Calculus?

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Calculus: The Basics

Calculus: The Basics. By: Rosed Serrano and Dominique McKnight. Table of Contents. About the Authors page 2 Chapter 1: Limits and Continuity page 3 Chapter 2: Derivatives page 8 Chapter 3: Anti-derivatives page 13 Chapter 4: Applications page 19. Rosed Serrano (left)

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Review Problems Integration

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Lecture 2 : Economics and Optimization

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3.3 Rates of change

3.3 Rates of change. Find Average Rate of Change Determine if a Function is Continuous at a Point Skip Instantaneous Rate of Change until section 3.4.

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The Difference Quotient

The Difference Quotient . Thursday, Jan 30th. Goal: to develop a general equation fo r rate of change. y. rise. run. Goal: to develop a general equation fo r rate of change (aka. slope of a secant). x. y. rise. Slope =. r ise r un. run.

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The Black-Scholes Model for Option Pricing

The Black-Scholes Model for Option Pricing. -Meeting-2, 09-05-2007. Introduction. Reference:. Computational Methods for Option Pricing Yves Achdou and Olivier Pironneau SIAM, 2005. Option Pricing: Recap. Types. European American Asian Vanilla & Exotic. Vanilla European Model.

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Chemical Kinetics

Chemical Kinetics. Phenolphthalein reacting with OH - ion. Rate of reaction = ? X / ? t . X = Concentration of Phenolphthalein (M) Time (s) 0.0050 0.0 0.0045 10.5 0.0040 22.3 0.0035 35.7 0.0030 51.1 0.0025 69.3 0.0020 91.6 0.0015 120.4

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Chapter 1: Introduction To Calculus

Chapter 1: Introduction To Calculus. Jenn Huynh & Yvonne Huynh. 1.1: Radical Expression - Rationalizing. To re-write a radical expression with one term in the denominator ?a / ?b = ?a / ?b * ?b / ?b = ? ab / b To rationalize the denominator, multiply with the conjugate

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Rates of Change

Rates of Change. Lesson 3.3. Rate of Change. Consider a table of ordered pairs (time, height). Using this data, how could we find the speed (in feet per second) of the sky diver?. Average Rate of Change. Recall formula for slope of a line through two points

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Olympic National Park, Washington

Photo by Vickie Kelly, 2007. Greg Kelly, Hanford High School, Richland, Washington. 4.6: Related Rates. Olympic National Park, Washington. Photo by Vickie Kelly, 2007. Greg Kelly, Hanford High School, Richland, Washington. 4.6: Related Rates. Olympic National Park, Washington.

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Kinetics

Kinetics. Brainstorm: What are some factors that affect the rate of a reaction?. Reaction Rate. Change in [reactants] or [products] per unit time (M/s) Always expressed as a positive quantity Can be expressed as appearance of B OR disappearance of A. A ? B. Changes in reaction rate.

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