Homework Help: Math

Posted by Aymal on Wednesday, March 10, 2010 at 4:16pm.

Consider the equation below. (Give your answers correct to two decimal places.)
f(x) = 8sin(x) + 8cos(x)
0 ≤ x ≤ 2
(a) Find the intervals on which f is increasing. (Enter the interval that contains smaller numbers first.)
( , ) union ( , )

Find the interval on which f is decreasing.
( , )

(b) Find the local minimum and maximum values of f.
(min)
(max)

(c) Find the inflection points.
( , ) (smaller x value)
( , ) (larger x value)

Find the interval on which f is concave up.
( , )

Find the intervals on which f is concave down. (Enter the interval that contains smaller numbers first.)

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