Parametric Equations and Polar Coordinates

Slides:



Advertisements
Similar presentations
A New Look at Conic Sections
Advertisements

Parametric Equations t x y
Equation of a Tangent Line
4.5 Graphs of Sine and Cosine Functions
© 2010 Pearson Education, Inc. All rights reserved.
Graphs of Polar Coordinates Sections 6.4. Objectives Use point plotting to graph polar equations. Use symmetry to graph polar equations.
Section 10.4 – Polar Coordinates and Polar Graphs.
Section 7.1 – Conics Conics – curves that are created by the intersection of a plane and a right circular cone.
Parametric and Polar Curves; Conic Sections “Parametric Equations; Tangent Lines and Arc Length for Parametric Curves”
Section 12.6 – Area and Arclength in Polar Coordinates
Calculus and Analytic Geometry II Cloud County Community College Spring, 2011 Instructor: Timothy L. Warkentin.
ESSENTIAL CALCULUS CH09 Parametric equations and polar coordinates.
Advance Calculus Diyako Ghaderyan 1 Contents:  Applications of Definite Integrals  Transcendental Functions  Techniques of Integration.
Chapter 8 Plane Curves and Parametric Equations. Copyright © Houghton Mifflin Company. All rights reserved.8 | 2 Definition of a Plane Curve.
Chapter 9 Notes Honors Pre-Calculus.
Vocabulary: Chapter Section Topic: Simultaneous Linear Equations
PARAMETRIC FUNCTIONS Today we will learn about parametric functions in the plane and analyze them using derivatives and integrals.
Section 11.1 Plane Curves and Parametric Equations By Kayla Montgomery and Rosanny Reyes.
What is the standard form of a parabola who has a focus of ( 1,5) and a directrix of y=11.
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Chapter 10 Parametric and Polar Curves.
Conics, Parametric Equations, and Polar Coordinates
Slide 6-1 Copyright © 2004 Pearson Education, Inc.
Chapter 10 – Parametric Equations & Polar Coordinates 10.2 Calculus with Parametric Curves 1Erickson.
Parametric Equations: another process to describe a plane curve on the Cartesian coordinate system – Parametrizations of Plane Curves The coordinates.
Advance Calculus Diyako Ghaderyan 1 Contents:  Applications of Definite Integrals  Transcendental Functions  Techniques of Integration.
Chapter 9: Quadratic Relations and Systems Section 9-3: Ellipses.
Conic Sections in Polar Coordinates Lesson Definition of Parabola Set of points equal distance from a point and a line  Point is the focus 
Section 11.7 – Conics in Polar Coordinates If e 1, the conic is a hyperbola. The ratio of the distance from a fixed point (focus) to a point on the conic.
Parametric Equations. In a rectangular coordinate system, you will recall, a point in the plane is represented by an ordered pair of number (x,y), where.
Notes Over 10.6 Writing an Equation of a Translated Parabola Write an equation for the parabola.
Advanced Geometry Conic Sections Lesson 3
Chapter 8 Part 2 Sections 8-4, 8-5, & 8-6. Section 8-4  solve for y and graph in a calculator  rotating a point (use formulas)  find the angle of rotation.
12.5 Circles in the Coordinate Plane
Graphing Polar Graphs Calc AB- Section10.6A. Symmetry Tests for Polar Graphs 1.Symmetry about the x -axis: If the point lies on the graph, the point ________.
9.6 Circles in the Coordinate Plane Date: ____________.
Chapter 17 Section 17.4 The Double Integral as the Limit of a Riemann Sum; Polar Coordinates.
Warm-up . What do we need to keep the same? What do we need to change?
Section 6.3: Arc Length Practice HW from Stewart Textbook (not to hand in) p. 465 # 1-13 odd.
Conic Sections Practice. Find the equation of the conic section using the given information.
10-6 Rectangular and Parametric Forms of Conic Sections.
9.3: Calculus with Parametric Equations When a curve is defined parametrically, it is still necessary to find slopes of tangents, concavity, area, and.
10.0 Conic Sections. Conic Section – a curve formed by the intersection of a plane and a double cone. By changing the plane, you can create a circle,
ESSENTIAL CALCULUS Parametric equations and polar coordinates
Circles in the Coordinate Plane
Chapter 6 Conic Sections
CHAPTER 10 CONIC SECTIONS Section 1 - Circles
Section 6.4 Graphs of Polar Equations
© 2010 Pearson Education, Inc. All rights reserved
Calculus with Parametric Curves
Non linear Inequalities on the Coordinate Plane
MAT 171 Section 10.7 Review The following is a brief review of Section 10.7 for Test 2 that covers Chapters 2 & 3 and Section This does NOT cover.
Polar Coordinates and Polar Graphs
Conic Sections in Polar Coordinates
Learning Targets – Unit 10
Ellipses 5.3 (Chapter 10 – Conics). Ellipses 5.3 (Chapter 10 – Conics)
Circles 4.1 (Chapter 10). Circles 4.1 (Chapter 10)
Section 17.1 Parameterized Curves
x = 4y - 4 x = 4y + 4 x = 4y - 1 y = 4x - 4 y = 4x - 1 y = 4x + 4
Parametric Equations and Calculus
Section 6.3 Parametric Equations
Parametric and Polar Curves
Chapter 9 Section 8: Equations of Circles.
Chapter 5: Graphs & Functions
Conic Sections and Polar Coordinates
Graphs and Polar Equations
Prerequisites for Calculus
Chapter 3: Parallel & Perpendicular Lines
Chapter 11 Section 11.1 Parametric, Vector, and Polar Functions
Plane Curves and Parametric Equations
Area and Arc Length in Polar Coordinates
Presentation transcript:

Parametric Equations and Polar Coordinates Chapter 11 Parametric Equations and Polar Coordinates

Parametrizations of Plane Curves Section 11.1 Parametrizations of Plane Curves

Calculus with Parametric Curves Section 11.2 Calculus with Parametric Curves

11.3 Polar Coordinates

Graphing Polar Coordinate Equations Section 11.4 Graphing Polar Coordinate Equations

Areas and Lengths in Polar Coordinates Section 11.7 Areas and Lengths in Polar Coordinates

Section 11.6 Conic Sections

Conics in Polar Coordinates Section 11.7 Conics in Polar Coordinates

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.