Consider the equation below. f(x) = 7 sin x + 7 cos x, 0 x 2 pi Find the interva
ID: 1889688 • Letter: C
Question
Consider the equation below. f(x) = 7 sin x + 7 cos x, 0 x 2 pi 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.) Find the local minimum and maximum values of f. local minimum value local maximum value Find the inflection points. (x, y) = ( ) (similar 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.)Explanation / Answer
a) increasing : (0,/4) ; (5/4,2)
decreasing : (/4,5/4)
b) minima : 5/4
maxima : /4
c) 3/4, 5/4
d) concave up : (3/4, 7/4)
concave down : (0,/4) ; (/4, 3/4) ; (7/4)