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anonymous

  • 5 years ago

trapezoidal rule

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  1. anonymous
    • 5 years ago
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    solve: \[\int\limits_{9}^{16}\sqrt{x}\]

  2. anonymous
    • 5 years ago
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    this is my approach but its not getting me the right answer: \[\int\limits_{9}^{16{x}}\sqrt{x}\approx \int\limits_{9}^{10}\sqrt{x}+ \int\limits_{10}^{11}\sqrt{x}+\int\limits_{11}^{12}\sqrt{x}+\int\limits_{12}^{13}\sqrt{x}+\int\limits_{13}^{14}\sqrt{x}+\int\limits_{14}^{15}\sqrt{x}+\int\limits_{15}^{16}\sqrt{x}\]

  3. anonymous
    • 5 years ago
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    \[\approx 1/2(3+\sqrt{10}) + 1/2(\sqrt{10}+\sqrt{11}) + 1/2(\sqrt{11}+\sqrt{12}) + 1/2(\sqrt{12}+\sqrt{13}) + 1/2(\sqrt{13}+\sqrt{14}) + 1/2(\sqrt{14}+\sqrt{15}) +1/2(\sqrt{15}+4)\]

  4. watchmath
    • 5 years ago
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    Hi and, please write down the problem.

  5. anonymous
    • 5 years ago
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    solve using the trapezoidal rule: \[\int\limits_{9}^{16}\sqrt{x}\] rounding to three significant figures

  6. watchmath
    • 5 years ago
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    into how many sub intervals?

  7. anonymous
    • 5 years ago
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    my answer is 20.9 and the answer in the text book is 27.9

  8. anonymous
    • 5 years ago
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    i dont know where i went wrong this time

  9. anonymous
    • 5 years ago
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    8 sub intervals

  10. anonymous
    • 5 years ago
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    sorry 7 intervals

  11. watchmath
    • 5 years ago
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    Could you post the complete question exactly like what you have on your book?

  12. anonymous
    • 5 years ago
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    ok one second

  13. anonymous
    • 5 years ago
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    (a)complete this table of values for the function\[y=\sqrt{x}\] x 9 10 11 12 13 14 15 16 y (b) use the trapezoidal rule with the eight function values above to estimate \[\int\limits_{9}^{16}\sqrt{x} \] give your answers correct to three significant figures

  14. anonymous
    • 5 years ago
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    wait you answer is right lol i rechecked the answer its 24.7

  15. watchmath
    • 5 years ago
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    :D

  16. anonymous
    • 5 years ago
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    sorry lol can u see where i went wrong

  17. watchmath
    • 5 years ago
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    I am not sure, but it seems you forgot to add one of the expression when you plug in into your calculator.

  18. anonymous
    • 5 years ago
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    ok ill try it out again

  19. anonymous
    • 5 years ago
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    lol your right i left out one expression its 1 o clock in the morning lol im doing alot of stupid mistakes

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