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Chapter 07: Plane Curves II

Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. Asymptote

Contents and summary

  • Asymptotes: A straight line $l$ is called an asymptote for a curve $C$ if the distance between $l$ and $C$ approaches zero as the distance moved along $l$ (from some fixed point on $l$) tends to infinity.
  • Asymptotes of polar curves
  • Maxima and Minima
  • Concavity
  • Second derivative test for extrema
  • Application of extrema to word problems
  • Singular points
  • Tangents at the origin
  • Types of cusps
  • Use of partial derivative
ARW Solutions of Exercise 7.1 Download PDF (1019KB) View Online
ARW Solutions of Exercise 7.2 Download PDF (1917KB) View Online
ARW Solutions of Exercise 7.3 Download PDF (1017KB) View Online


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