f(x) = 5 sinx + 4 cos x, on (-T, π) a) Determine the intervals on which f is concave up and concave down. f is concave up on: f is concave down on: b) Based on your answer to part (a), determine the inflection points of f. Each point should be enter an ordered pair (that is, in the form (x, y)). (Separate multiple answers by commas.) C) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine th elative extrema. List only the x-coordinates. Relative maxima at: (Separate multiple answers by commas.) Relative minima at: (Separate multiple answers by commas.) d) Find the x-value(s) where f'(x) has a relative maximum or minimum. has relative maxima at: 'has relative minima at: tan 45 (Separate multiple answers by commas.) (Separate multiple answers by commas.)

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