Question

In: Math

Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 5 cos2(x)...

Consider the equation below. (If an answer does not exist, enter DNE.)

f(x) = 5 cos2(x) − 10 sin(x),      0 ≤ x ≤ 2π

(a) Find the interval on which f is increasing. (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 values of f.

local minimum value    
local maximum value    


(c) Find the inflection points.
(x, y) =

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

(larger x-value)


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.)

Solutions

Expert Solution


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