For what values of theta (0 less than or equal to theta less than or equal to 2pi) do maximum r values occur on the graph the polar equation r=4+3 sin3theta? Note that the maximum r-value occurs at a point that is the maximum distance from the pole.

Step-by-step explanation:

To find the values of the angle which makes maximum r you use the derivative of r

If you equals this derivative to zero you obtain the value of the angle:

However, the values of 5π/6 and 9π/6 are also available, because makes the sinusoidal function equal  to 1.

hence, the answer is:

answer b

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step-by-step explanation: