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Engineering Mathematics
book

Engineering Mathematics

by Babu Ram
June 2009
Intermediate to advanced content levelIntermediate to advanced
1100 pages
42h 22m
English
Pearson India
Content preview from Engineering Mathematics

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 image Solving this equation, we get

 

 

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

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Publisher Resources

ISBN: 9789332515611