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Approximating Area

Approximating Area. Sigma Notation. Used to show the sum of a series of numbers. Summation Formulas. Evaluate the sum for n=5. Evaluate the sum for n=100, 1000, & 10000. Evaluate the sum for n=10, 100, 1000. Approximating Area – Left Sum. Approximating Area – Right Sum.

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Approximating Area

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  1. Approximating Area

  2. Sigma Notation • Used to show the sum of a series of numbers

  3. Summation Formulas

  4. Evaluate the sum for n=5

  5. Evaluate the sum for n=100, 1000, & 10000

  6. Evaluate the sum for n=10, 100, 1000

  7. Approximating Area – Left Sum

  8. Approximating Area – Right Sum

  9. Approximating Area – Middle Sum

  10. Approximating Area – Trapezoidal Sum

  11. Find the area under the curve of y = x2 + 9 from x=0 to 3. • Use the Left Sum with a step size of .5

  12. Find the area under the curve of y = x2 + 9 from x=0 to 3. • Use the Right Sum with a step size of .5

  13. Find the area under the curve of y = x2 + 9 from x=0 to 3. • Use the Middle Sum with a step size of .5

  14. Find the area under the curve of y = x2 + 9 from x=0 to 3. • Use the Trapezoidal Sum with a step size of .5

  15. Find the area under the curve of y = .5x3 – 3x + 5 from x = 0 to 4 with 8 partitions

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