   Chapter 10.5, Problem 83E

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 ) > 0 for all θ and g( θ ) < 0 for all θ , then the graphs of r = f( θ ) and r = g( θ ) do not intersect.

To determine

Whether the statement “If f(θ)>0 for all θ and g(θ)<0 for all θ, then the graph of r=f(θ) and r=g(θ) do not intersect” is true or false.

Explanation

Consider the two functions,f(θ)>0 and g(θ)<0.

Let the functions are f(θ)=2 and g(θ)=2.

Both the functions f and g represents a circle of radius 2 and thus both the functions overlap each other that is they intersects

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