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Exercises

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Exercise 2

  • Let S be the area between the graph of y = f ( x ) = 2x and the x-axis on the interval [1,6].
  • Draw S.
  • Use a Left-Hand Sum with 2 subintervals to approximate the area of S. Draw S and the rectangles used in this Left-Hand Sum on the same graph.
  • Use a Left-Hand Sum with 5 subintervals to approximate the area of S. Draw S and the rectangles used in this Left-Hand Sum on the same graph.
  • Are your approximations in parts (b) and (c) bigger or smaller than the actual area of S?
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