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butalier

  • 3 years ago

use trapezoid rule to evaluate . Use n=4 integral 1 to 3 (sqrt(1+x^3)dx

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  1. aama100
    • 3 years ago
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    ANSWER: Trapeziodal's Rule result = 0.0529224 Error = 0.000352592 Midpoint's Rule result = 0.0523936 Error = 0.000176241 Simpson's Rule result = 0.0525704 Error = 5.82087*10^-7

  2. butalier
    • 3 years ago
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    but how to do it?

  3. aama100
    • 3 years ago
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    that's a bit long process

  4. amistre64
    • 3 years ago
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    [(b-a)/n] [f(a)+f(b)+1/2(f(all the rest))] right?

  5. butalier
    • 3 years ago
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    do you know how to fid the tangent line approximation of f(x)=sin2x+cosx at (pi/2. 0)

  6. amistre64
    • 3 years ago
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    it looks doable

  7. amistre64
    • 3 years ago
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    you mean the equation of the tangent line at (pi/2,0) right?

  8. butalier
    • 3 years ago
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    i know how to find the equation but approximating making some boxes i dont know

  9. amistre64
    • 3 years ago
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    derive the function and solve it for the input values to get the 'slope' of yout line equation

  10. amistre64
    • 3 years ago
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    f'(x) = 2cos(2x)-sin(x) right?

  11. amistre64
    • 3 years ago
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    or am i thinking of something else lol

  12. butalier
    • 3 years ago
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    ok yes thats right

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