Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 10- 1.

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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 10- 1

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Chapter 10 Parametric, Vector, and Polar Functions

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 10.1 Parametric Functions

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Review

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Review Solutions

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide What you’ll learn about Parametric Curves in the Plane Slope and Concavity Arc Length Cycloids …and why Parametric equations enable us to define some interesting and important curves that would be difficult or impossible to define in the form y=f(x).

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Reviewing Some Parametric Curves

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Reviewing Some Parametric Curves

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Parametric Differentiation Formulas

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Analyzing a Parametric Curve

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Analyzing a Parametric Curve

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Arc Length of a Parametrized Curve

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Measuring a Parametric Curve

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Cycloids

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 10.2 Vectors in the Plane

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Review

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Review

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Review Solutions

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Review Solutions

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide What you’ll learn about Two-Dimensional Vectors Vector Operations Modeling Planar Motion Velocity, Acceleration, and Speed Displacement and Distance Traveled …and why The jump from one to two dimensions (and eventually higher) is easier than one might think, thanks to the mathematics of vectors.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Two-Dimensional Vectors

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Magnitude of a Vector

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Direction Angle of a Vector

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Head Minus Tail (HMT) Rule

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Finding Magnitude and Direction

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Vector Addition and Scalar Multiplication

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Performing Operations on Vectors

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Properties of Vector Operations

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Finding Ground Speed and Direction

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Velocity, Speed, Acceleration, and Direction of Motion

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Displacement and Distance Traveled

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Finding Displacement and Distance Traveled

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 10.3 Polar Functions

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Review

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Review

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Review Solution

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Review Solutions

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide What you’ll learn about Polar Coordinates Polar Curves Slopes of Polar Curves Areas Enclosed by Polar Curves A Small Polar Gallery …and why Polar equations enable us to define some interesting and important curves that would be difficult or impossible to define in the form y=f(x).

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Rectangular and Polar Coordinates

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Rectangular and Polar Coordinates

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Polar-Rectangular Conversion Formulas

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Parametric Equations of Polar Curves

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Finding Slope of a Polar Curve

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Area in Polar Coordinates

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Finding Area

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Area Between Polar Curves

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Circles

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Rose Curves

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Limaçon Curves

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Lemniscate Curves

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Spiral of Archimedes

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz Sections 10.1 – 10.3

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz Sections 10.1 – 10.3

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz Sections 10.1 – 10.3

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz Sections 10.1 – 10.3

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz Sections 10.1 – 10.3

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz Sections 10.1 – 10.3

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Chapter Test

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Chapter Test

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Chapter Test Solutions

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Chapter Test Solutions