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What Is the Smallest Interval For θ(0≤θ≤k) \theta(0 \leq \theta \leq k)

Question 69

Essay

What is the smallest interval for θ(0≤θ≤k) \theta(0 \leq \theta \leq k) that gives a complete graph of the polar equation r=4cos⁡5θ r=4 \cos 5 \theta ? Sketch the graph to show which petals are generated by positive values of r r and which by negative values of r r .

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