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1. Find the average rate of change of f(x) = x2 - 2 on the interval [-4, 8]. Then find the x-value within that interval

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1. Find the average rate of change of f(x) = x2 - 2 on the interval [-4, 8]. Then find the x-value within that interval at which f '(x) is equal to the average rate of change on the interval. Sketch a graph of the function; include what both the average rate of change and the instantaneous rate of change represent on the graph. 7 points 2. Determine an equation of the tangent line to the function y = In x at x = e2. Sketch a graph of the function and tangent line, marking key points. 7 points

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