For what values of theta (0
r=-3 + 4 cos(theta)? Note that the maximum r-value occurs at a point that is the maximum distance from the pole.

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Step-by-step explanation:

The determination of the maximum can be done with the help of the First and Second Derivative Tests. The first and second derivatives of the function are, respectively:

First Derivative Test

Given the periodicity of the function, there are multiple solutions. The set of solutions is represented by:

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Second Derivative Test

There are multiple solutions. If is an odd number, then cosine is negative and output is positive, which means that associated value is an absolute minimum. Otherwise, if is zero or an even number, the cosine is positive and output is negative, which means that associated value is an absolute minimum. Consequently, the values of so that is a maximum are:

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4444444444444 i think