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6. [-/12 Points] DETAILS SCALCET8 4.3.013.MI. Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 5 sin(x) + 5 cos(x),

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6. [-/12 Points] DETAILS SCALCET8 4.3.013.MI. Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 5 sin(x) + 5 cos(x), OSXS 21 (a) Find the interval on which fis increasing. (Enter your answer using interval notation.) Find the interval on which fis 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 fis concave up. (Enter your answer using interval notation.) Find the interval on which fis concave down. (Enter your answer using interval notation.)

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