Consider the function f(θ) = θ + sinθ on (0,2π). 1) Draw diagrams showing the intervals...

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Consider the function f(θ) = θ + sinθ on (0,2π).

1) Draw diagrams showing the intervals where f^i and f^ii arepositive or negative.


2) Find the critical points.


3) Find the local maxima and minima.


4) Find the intervals where f is concave up or down.

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