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Solve the Problem θ(0θ<2π)\theta ( 0 \leq \theta < 2 \pi )

Question 47

Multiple Choice

Solve the problem.
-For what values of θ(0θ<2π) \theta ( 0 \leq \theta < 2 \pi ) do maximum r-values occur on the graph of the polar equation r=1+5cos2θr = 1 + 5 \cos 2 \theta ? Note that a maximum rr -value occurs at a point that is the maximum distance from the pole.


A) π2,3π2\frac { \pi } { 2 } , \frac { 3 \pi } { 2 }
B) 0,π0 , \pi
C) 0,π2,π,3π20 , \frac { \pi } { 2 } , \pi , \frac { 3 \pi } { 2 }
D) π4,5π4\frac { \pi } { 4 } , \frac { 5 \pi } { 4 }

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