O'Reilly logo

Engineering Mathematics, Volume I, Second Edition by Babu Ram

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

4

Asymptotes and Curve Tracing

The aim of this chapter is to study the shape of a plane curve y=f(x). For this purpose, we must investigate the variation of the function f, in the case of unlimited increase and absolute value and of x or y, or both, of a variable point (x, y) on the curve. The study of such variation of the function requires the concept of an asymptote. Before defining an asymptote to a curve, let us define finite and infinite branches of a plane curve as follows:

Consider the equation of the ellipse images Solving this equation, we get

 

 

The first equation represents the upper half of the ellipse while the second equation represents ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required