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a. Find an equation of the tangent line at x = a. b. Use a graphing utility to graph the curve and the tangent line

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a. Find an equation of the tangent line at x = a. b. Use a graphing utility to graph the curve and the tangent line on the same set of axes. y=ex;a=ln8 E) a. At x = a, an equation of the tangent line is y = D. Let f(x) = 2x2 + 8x + 3. a. Find the values of x for which the slope of the curve y = f(x) is 0. b. Find the values of x for which the slope of the curve y = f(x) is 12. E) a. The slope of the curve is 0 at x = D. (Simplify your answer. Use a comma to separate answers as needed.) Let f(x) = 501/; 5x. a. Find all points on the graph of f at which the tangent line is horizontal. 5 b. Find all points on the graph of f at which the tangent line has slope - E. c:) The tangent line is horizontal at the point(s) D. (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)

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