   Chapter 10.5, Problem 84E

Chapter
Section
Textbook Problem

# True or False? In Exercises 83 and 84, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.If f( θ ) = g( θ θ = 0, π/2, and 3π/2, then the graphs r =f( θ ) and r = g( θ ) have at least four points of intersection.

To determine

The statement “If f(θ)=g(θ) for θ=0,π2 and 3π2, then the graph of r=f(θ) and r=g(θ) have at least four points of intersection” is true or false.

Explanation

Consider the two functions,f(θ) and g(θ).

It is provided that f(θ)=g(θ) for θ=0,π2 and 3π2.

This doesn’t mean that r=f(θ) and r=g(θ) have at least four points of intersection as the above mentioned values of θ the might represents a single point

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