Skip to Main Content
Calculus: Differentiation and Integration, 1st Edition
book

Calculus: Differentiation and Integration, 1st Edition

by ICFAI
April 2024
Intermediate to advanced content levelIntermediate to advanced
710 pages
20h 50m
English
Pearson India
Content preview from Calculus: Differentiation and Integration, 1st Edition
Functions and Graphs 2-41
b. Given equation is, r = -8 cos q. This implies r
2
= -8r cos q.
Substituting the values of r and rcos q gives us the required result, i.e., x
2
+ y
2
= -8x.
2.6.2 Polar Equation of a Straight Line
The general equation of the straight line in the Cartesian coordinate system is
Ax + By + C = 0, (1)
where A, B and C are constants.
Let (r, q) be the polar coordinates of a point on the straight line referred to the origin as pole and the
x-axis as the initial line. Then, for any point (x, y) on the straight line x = r cos q, y = r sin q.
Substituting these in the equation of a straight line, we get
A (r cos q) + B (r sin ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Differential Equations, 3rd Edition

Differential Equations, 3rd Edition

Steven G. Krantz
Quick Calculus, 3rd Edition

Quick Calculus, 3rd Edition

Daniel Kleppner, Peter Dourmashkin, Norman Ramsey
Calculus I

Calculus I

W. Michael Kelley

Publisher Resources

ISBN: 9789353948221