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DIRECTION: Solve the following using Riemann Sum . Estimate the area bounded by y = 4 - x . [0, 2] and the x-axis on

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DIRECTION: Solve the following using Riemann Sum . Estimate the area bounded by y = 4 - x . [0, 2] and the x-axis on the given interval using the indicated number of subintervals by finding (a) a left Riemann sum, n = 4, (b) a right Riemann sum, n = 4. (c) a midpoint Riemann sum, n = 2. (10 POINTS) Estimate the area under the curve of f(x) = x - 1 from x = 1 to x = 5 using 4 approximationg rectangles and use left and right methods. (6 POINTS) . Estimate the area under the curve of f(x) = - x + 3 from x = 0 and x = 4 using 4 approximationg rectangles and use midpoints. (4 POINTS) Show that y = ex is a solution to y" + 2y' + y' = 2y" + 6y' (5 points)

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