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The shape of a limacon can be defined parametrically as                                    r = r0 + cos θ,                                    x = r cos θ,                                    y = r sin θ. When r0 = 1, this curve is called a cardioid. Use this definition to plot the shape of a limacon for r0 = 0.8, r0 = 1.0, and r0 = 1.2. Be sure to use enough points that the curve is closed and appears smooth (except for the cusp in the cardioid). Use a legend to identify which curve is which.  use phyton language  import math import numpy as np import matplotlib.pyplot as plt %matplotlib inline

The shape of a limacon can be defined parametrically as                                    r = r0 + cos θ,                                    x = r cos θ,                                    y = r sin θ. When r0 = 1, this curve is called a cardioid. Use this definition to plot the shape of a limacon for r0 = 0.8, r0 = 1.0, and r0 = 1.2. Be sure to use enough points that the curve is closed and appears smooth (except for the cusp in the cardioid). Use a legend to identify which curve is which.  use phyton language  import math import numpy as np import matplotlib.pyplot as plt %matplotlib inline

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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  1. The shape of a limacon can be defined parametrically as

                                   r = r0 + cos θ,

                                   x = r cos θ,

                                   y = r sin θ.

When r0 = 1, this curve is called a cardioid. Use this definition to plot the shape of a limacon for r0 = 0.8, r0 = 1.0, and r0 = 1.2. Be sure to use enough points that the curve is closed and appears smooth (except for the cusp in the cardioid). Use a legend to identify which curve is which. 

use phyton language 

import math
import numpy as np
import matplotlib.pyplot as plt
%matplotlib inline

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