Question

You are to create an original polar graph that display:(In one polar graph)1-circle (not cantered at the pole)2- a rose 3- a limacon4- Lemniscate5- line (horizontal , vertical and slanted)6-Cardioid

Answer 1

Given:

circle (not cantered at the pole)

2- a rose

3- a limacon

4- Lemniscate

5- line (horizontal , vertical and slanted)

6-Cardioid

Required:

We have create an original polar graph that display:

(In one polar graph)

Explanation:

$\begin{gathered} Equation\text{ for} \\ circle-x=rcos\theta \\ a\text{ rose-r=a sin\lparen n}\theta) \\ lemniscate\text{ r=}\sqrt{9cos\text{ \lparen2}\theta)} \\ a\text{ line-y=r sin}\theta \\ cardioid-r=2+2cos\theta \end{gathered}$

Required answer:

Above explanation