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Verify that f(x) = sin(x) + 7 satisfies the hypotheses of the Mean Value Theorem on [0, 7). Then find the point at which the tangent line at (c, f (c)) is parallel to the secant line connecting (0, f(0)) and (7, f(7)). What special form of the Mean Value Theorem are you using here? (There is another name for it in this special case)