For the function f(x) = 3x² + 5x – 1, determine the required average and instantaneous rates of change. a) average rate of change between 2 and 5 b) average rate of change in the interval –2 < x < 0.5 c) instantaneous rate of change at x = 2 using an interval strategy. (Use h = 0.01) d) equation of the tangent line drawn at x = 2.

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