Answered: Consider the following three equations:…

Math

Calculus

Consider the following three equations: A) r= 6/(3+2cos(theta))

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter8: Complex Numbers And Polarcoordinates

Section: Chapter Questions

Problem 7GP

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Question

Consider the following three equations:

A) r= 6/(3+2cos(theta))

B) r=4/(2-3sin(theta))

C) r=6/(1-sin(theta))

i) for each equation find: the eccentricity, the equation of the directrix and the identify the conic section

ii) sketch the graph of B) in polar coordinates

iii) by using the graph obtained in ii) part, convert the B) equation from polar coordinates to rectangular coordinates.

Curve that is obtained by the intersection of the surface of a cone with a plane. The three types of conic sections are parabolas, ellipses, and hyperbolas. The main features of conic sections are focus, eccentricity, and directrix. The other parameters are principal axis, linear eccentricity, latus rectum, focal parameter, and major and minor axis.

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