a. Find the critical numbers of the function on the interval ( 0 , 2 π ) . (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) g(θ)=8θ−2tanθ
b. If a and b are positive numbers, find the maximum value of f ( x ) = x^a(4−x)^b on the interval 0 ≤ x ≤ 4
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