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3. The function fis defined by y = ex -e? In x as shown by the figure to the right. a) Determine the value of

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3. The function fis defined by y = ex -e? In x as shown by the figure to the right. a) Determine the value of the ratio of y to y' as x approaches the x-intercept. b) Find the area of the unbounded region below the graph of fin the 1st quadrant to the left of the x-intercept. Show how you arrive at your answer. c) There is a value of k, k > e, such that the arc length of f starting at x = e and moving k units to the right will be exactly k. Write, but do not solve, an equation that will find the value of k

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