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Consider the equation below. f(x) = 9 sin x + 9 cos x, 0 x 2pi Find the interval

ID: 2859978 • Letter: C

Question

Consider the equation below. f(x) = 9 sin x + 9 cos x, 0 x 2pi 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. 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

Intervals where the function is increasing are X belongs [0,pi/4] and X belongs (5pi/4,2pi]

Intervals where the function is decreasing are X belongs (pi/4, 5pi/4)

The minimal inflection point in the decreasing portion is X = 3pi/4

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