In the following questions, consider the function f(x) = 2sin(x)+7 cos(x) on (-, ). Enter DNE...

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In the following questions, consider the function f(x) = 2sin(x)+7 cos(x) on (-, ). Enter DNE if an answer does not exist. a) Give the domain of f (in interval notation): (-,) help (intervals) b) Determine the intervals on which f is concave up/down: f is concave up on: f is concave down on: T 222 c) Based on your answers in (a) and (b), determine the inflection points of f (-1.292,0) help (numbers) (Each answer should be entered as an ordered pair, (x, y). Separate multiple answer with commas.) d) Find the critical numbers of f and use the Second Derivative Test, when possible to determine the relative extrema. Relative maxima occur at x -1.292 (Separate multiple answers with commas.) Relative minima occur at x = 0 (Separate multiple answers with commas.) e) Find the x-values where f'(x) has a relative maximum or minimum: f' has relative maxima at x = -1.292 (Separate multiple answers with commas f' has relative minima at x = 0 (Separate multiple answers with commas.) In the following questions, consider the function f(x) = 2sin(x)+7 cos(x) on (-, ). Enter DNE if an answer does not exist. a) Give the domain of f (in interval notation): (-,) help (intervals) b) Determine the intervals on which f is concave up/down: f is concave up on: f is concave down on: T 222 c) Based on your answers in (a) and (b), determine the inflection points of f (-1.292,0) help (numbers) (Each answer should be entered as an ordered pair, (x, y). Separate multiple answer with commas.) d) Find the critical numbers of f and use the Second Derivative Test, when possible to determine the relative extrema. Relative maxima occur at x -1.292 (Separate multiple answers with commas.) Relative minima occur at x = 0 (Separate multiple answers with commas.) e) Find the x-values where f'(x) has a relative maximum or minimum: f' has relative maxima at x = -1.292 (Separate multiple answers with commas f' has relative minima at x = 0 (Separate multiple answers with commas.)