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
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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
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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
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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
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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
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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
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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