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.

• 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

The following notes are shared by Mr. Shahid Javed. <callout type=“success” icon=“fa fa-download”>

• Solutions of Exercise 7.1 | VIEW View Online | Download PDF (1019KB)

• Solutions of Exercise 7.2 | VIEW View Online | Download PDF (1917KB)

• Solutions of Exercise 7.3 | VIEW View Online | Download PDF (1017KB)

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The following notes are written by Prof. Shariq Mehtab Syed. <callout type=“success” icon=“fa fa-download”>

• Solutions of Exercise 7.1 | VIEW View Online | Download PDF (908KB)

• Solutions of Exercise 7.2 | VIEW View Online | Download PDF (1.56MB)

• Solutions of Exercise 7.5 | VIEW View Online | Download PDF (1.16MB)

• Solutions of Exercise 7.6 | VIEW View Online | Download PDF (1.11MB)

• Solutions of Exercise 7.7 | VIEW View Online | Download PDF (1.31MB)

• Solutions of Exercise 7.8 | VIEW View Online | Download PDF (943KB)

• Solutions of Exercise 7.9 | VIEW View Online | Download PDF (911KB)

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