onsider the equation below. (If an answer does not exist, enter DNE.) f(x) = 8 cos2(x) − 16 sin(x), 0 ≤ x ≤ 2π (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) (No Response) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (No Response) (b) Find the local minimum and maximum values of f. local minimum value (No Response) local maximum value (No Response) (c) Find the inflection points. (x, y) = (No Response) (smaller x-value) (x, y) = (No Response) (larger x-value)

(a) Increasing: and Decreasing:

(b) The local minimum and maximum values are -16 and 16 respectively.

(c) The inflection points are

Step-by-step explanation:

The function provided is:

(a)

Then,

Note,

Then, for .

Also .

Thus, f (x) is increasing for,

And f (x) is decreasing for,

(b)

From part (a) f (x) changes from decreasing to increasing at and from increasing  to decreasing at .

The local minimum value is:

The local maximum value is:

(c)

Compute the value of f'' (x) as follows:

So,

And,

Thus, f (x) is concave upward on and concave downward on .

If , then f (x) will be:

If , then f (x) will be:

The inflection points are .

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.