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Secure https//www.webassign.net/web/Student/Assignment-Responses/last?dep 17773312#Q12 LarCalc11 86.044 1/100 Su ble lists several measurements gathered in an experiment to approximate an unknown continuous function y ) x 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 4.29 4.36 4.81 5.50 6.30 7.08 7.73 8.09 8.06 (a) Approximate the integral using the Trapezoidal Rule and Simpson's Rule (Round your answers to three decimal places.) Trapezoidal Rule 12.511 Simpson's Rule 12513 (b) Use a graphing utility to find a model of the form y - ax+ bx+ ox+ d for the data. Integrate the resulting polynomial over [o, 2) and your coefficients to four decimal places.) nswer Save Progress ints | Previous Answwers LaCalc 11 8 6 NT 002 2100 Submissions Used h of a function is given.

Explanation / Answer

b)

Use the graphing utilty or excel to obtain

y= -1.37427609*x^3+3.99763348*x^2-0.61291005*x+4.28838384

y= -1.3743*x^3+3.9976*x^2-0.6129x+4.2884

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Integrate -1.3743*x^3+3.9976*x^2-0.6129x+4.2884 using power rule to obtain

-1.3743*x^4/4+3.9976*x^3/3-0.6129x²/2+4.2884 x

Plug in the limits 0 to 2 to obtain

=

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