Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 5 sin(x) + 5 cos(x), 0 ≤ x ≤ 2𝜋 (a) Fin

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Consider the equation below. (If an answer does not exist, enterDNE.)
f(x) = 5 sin(x)+ 5 cos(x), 0 ≤ x ≤ 2𝜋
(a) Find the interval on which f isincreasing. (Enter your answer using interval notation.)
Find the interval on which f is decreasing.(Enter your answer using interval notation.)
(b) Find the local minimum and maximum valuesof f.
(c) Find the inflection points.
Find the interval on which f is concave up.(Enter your answer using interval notation.)
Find the interval on which f is concave down.(Enter your answer using interval notation.)