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91Ó°ÊÓ

Find the smallest interval necessary to draw a complete graph of the functions in Exercises 33-38and then graph each function using a graphing calculator or computer algebra system.

r=ecos2θ−1.5cos4θ

Short Answer

Expert verified

[0,2Ï€]

Step by step solution

01

Given information

r=ecos2θ−1.5cos4θ

02

Explanation

Consider the polar equation r=ecos2θ-1.5cos4θ

The goal is to draw the graph of the polar equation supplied. We will draw the graph here using a graphing calculator.

If we observe the graph, the values of the graph are repeated after an interval of 2Ï€ so the smallest interval required for the graph is [0,2Ï€] Therefore, the smallest interval for the graph is [0,2Ï€]

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