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Produce graphs of f that reveal all the important aspects of the curve. Then use calculus...

Produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find the following. (Enter your answers using interval notation. Round your answers to two decimal places.)

f(x) = 4 sin(x) + cot(x), −π ≤ x ≤ π

Find the interval of increase.

Find the interval of decrease.

Find the inflection points of the function.

(x, y) = (smaller x-value)

(x, y) = (larger x-value)

Find the interval where the function is concave up.

Find the interval where the function is concave down.

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