Calculus 3.9: Rates of Change in the Sciences. Rates of Change: Economics.

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Calculus 3.9: Rates of Change in the Sciences

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Transcript of Calculus 3.9: Rates of Change in the Sciences. Rates of Change: Economics.

Page 1: Calculus 3.9: Rates of Change in the Sciences. Rates of Change: Economics.

Calculus

3.9: Rates of Change in the Sciences

Page 2: Calculus 3.9: Rates of Change in the Sciences. Rates of Change: Economics.

Rates of Change: Economics

Page 3: Calculus 3.9: Rates of Change in the Sciences. Rates of Change: Economics.

Example 9.1: Analyzing the Marginal Cost of Producing a Commercial Product

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Example 9.2: Minimizing the Average Cost of Producing a Commercial Product

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Rates of Change: Physics (Charge & Current)

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Example 9.7: Modeling Electrical Current in a Wire

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Physics: Particle Motion

A particle moves on a vertical line so that its coordinate at time t is

a) Find the velocity and acceleration functions.b) When is the particle moving upward and

when is it moving downward?c) Find the distance that the particle travels in

the time interval [0, 3].d) Find the interval(s) where the particle is

speeding up and slowing down.

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Physics: Particle Motion

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Explanations Presspacks High PowerHJH2/3.9 HJH9/3.10 HJH2/3.9 HJH2/3.9 HJH2/3.9 HJH2/3.9 HJH2/3.9 HJH2/3.9 HJH2/3.9 HJH4B/3.9 HJH4B/3.9 HJH7B/3.10 HJH4B/3.9 HJH7B/3.10 HJH7B/3.10 HJH9/3.10

Explanations Presspacks High PowerHJH2/3.9 HJH9/3.10 HJH2/3.9 HJH2/3.9 HJH2/3.9 HJH2/3.9 HJH2/3.9 HJH2/3.9 HJH2/3.9 HJH4B/3.9 HJH4B/3.9 HJH7B/3.10 HJH4B/3.9 HJH7B/3.10 HJH7B/3.10 HJH9/3.10

11X1 T08 07 rates of change

11X1 T08 07 rates of change

2.1 Rates of Change

2.1 Rates of Change

Estimating Rates Of Lexical Change

Estimating Rates Of Lexical Change

3.1 Derivatives and Rates of Change 12.7 Derivatives and Rates of Change.

3.1 Derivatives and Rates of Change 12.7 Derivatives and Rates of Change.

Tangents, Velocitiies and Rates of Change

Tangents, Velocitiies and Rates of Change

Social Culture & Change Unit 9. Sources of Social Change Environment ◦ Natural Disasters Population ◦ Birth rates ◦ Death rates ◦ Subcultures.

Social Culture & Change Unit 9. Sources of Social Change Environment ◦ Natural Disasters Population ◦ Birth rates ◦ Death rates ◦ Subcultures.

Big Ideas Constant Rates of Change Rates of Changeelyse/100/2016/LimitsAndVelocity.pdf · Big Ideas Constant Rates of Change Rates of Change Suppose the population of a small country

Big Ideas Constant Rates of Change Rates of Changeelyse/100/2016/LimitsAndVelocity.pdf · Big Ideas Constant Rates of Change Rates of Change Suppose the population of a small country

Ingredients of Multivariable Change: Models, Graphs, Rates

Ingredients of Multivariable Change: Models, Graphs, Rates

Speed, Distance & Time & Rates of Change (H)

Speed, Distance & Time & Rates of Change (H)

Lesson 13: Related Rates of Change

Lesson 13: Related Rates of Change

Population Rates Of Population Change

Population Rates Of Population Change

11X1 T09 07 rates of change (2011)

11X1 T09 07 rates of change (2011)

3.4 Velocity , Speed , and Rates of Change

3.4 Velocity , Speed , and Rates of Change

D ERIVATIVES Review- 4 Rates of Change. Rates of Change There are two types of rates of change Average Instantaneous.

D ERIVATIVES Review- 4 Rates of Change. Rates of Change There are two types of rates of change Average Instantaneous.

2.1 Rates of Change and Limits

2.1 Rates of Change and Limits

A STRATEGIC FRAMEWORK FOR MANAGING TRANSFORMATIONAL CHANGE … · 3.8 THE ROLE OF LEADERSHIP IN CHANGE MANAGEMENT..... 62 3.9 IMPLEMENTING CHANGE ... for adoption and usage patterns

A STRATEGIC FRAMEWORK FOR MANAGING TRANSFORMATIONAL CHANGE … · 3.8 THE ROLE OF LEADERSHIP IN CHANGE MANAGEMENT..... 62 3.9 IMPLEMENTING CHANGE ... for adoption and usage patterns

Slope and Rate of Change. Rates of change are seen everywhere.

Slope and Rate of Change. Rates of change are seen everywhere.

CHANGE RATES: TES'l'S OF A HYPOfBESIS

CHANGE RATES: TES'l'S OF A HYPOfBESIS

Lesson 13: Rates of Change in Science

Lesson 13: Rates of Change in Science