Capstone Part 3-1 - Abusufian Choudhary Professor Long...

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Abusufian Choudhary 11-25-2015 Professor Long Capstone Project Part Function: f ( x ) = 10000 1 + 50 e 0.4 t The interval I chose for my graph is 0 ≤x ≤ 24 because the function starts from x = 0 gets very close to y = 10000 when x = 24 . I also graphed the y-asymptote so you can see that at x = 24 the graph gets very close to y = 10000 .
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Graphs of Riemann sum using even partitions of n = 4 Graph using left end-points: X-axis Y-axis Function of f ( x ) = 10000 1 + 50 e 0.4 t [ 0,24 ] Y asymptote y = 100
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Graph using right end-points: Graph using mid-points:
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Graphs of Riemann sum using even partitions of n = 8
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Graph using left end-points: Graph using right end-points:
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Graph using mid-points: Formulas used and the summation:
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Left end-points with 8 even partitions: k = 0 7 10000 1 + 50 e 0.4 ( 3 k ) ( 3 ) Right end-points with 8 even partitions: k = 1 8 10000 1 + 50 e 0.4 ( 3 k ) ∗( 3 ) Mid-points with 8 even partitions: k = 1 8 10000 1 + 50 e 0.4 ( k + 3 2 ) ∗( 3 ) Left end-points with 4 even partitions: k = 0 3 10000 1 + 50 e 0.4 ( 6 k ) ( 6 ) Right end-points with 4 even partitions: k = 1 4 10000 1 + 50 e
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  • Fall '16
  • AhmedH.Mohamed
  • Riemann sum

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