POLAR COORDINATES Let f(r, θ, c) = 0 be the equation of family of curves. The DE of this family can be obtained by elimination of c, which is P dr + Q dθ = 0(1) Where P…

1. Further Pure Mathematics II Polar Co-ordinates Lesson 1 - Key Learning Points/Vocabulary: ●Plotting curves given in polar form. ●Investigating the shape of curves…

Slide 1M ACROECONOMICS C H A P T E R © 2007 Worth Publishers, all rights reserved SIXTH EDITION PowerPoint ® Slides by Ron Cronovich N. G REGORY M ANKIW Aggregate Demand…

CODING THEORY A Bird’s Eye View 2 Text Books Shu Lin and Daniel. J. Costello Jr., “Error Control Coding: Fundamentals and applications”, Prentice Hall Inc. R.E. Blahut,…

Slide 1 Calculus with Polar Coordinates Ex. Find all points of intersection of r = 1 – 2cos θ and r = 1. Slide 2 The area bounded by r = f (θ), α ≤ θ ≤ β is Slide…

1.1 Basic Equations Certain situations exist where: If one quantity increases, the other quantity also increases. If one quantity increases, the other quantity decreases.…

Rectangular (Cartesian) coordinates plot a point by moving left/right and up/down (making a rectangle) Polar coordinates find the same point in a different way r = distance…