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3. Consider three points 1130, 3:1, 232 E R such that $1=zg+h and $2=$0+2h forsomeh>0. /: f(w) dcv is approximated using the trapezoid rule, the

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3. Consider three points 1130, 3:1, 232 E R such that $1=zg+h and $2=$0+2h forsomeh>0. /: f(w) dcv is approximated using the trapezoid rule, the composite trapezoid rule with nodes :60, 3:1, 2:2, and using Simpson's rule as follows: The integral $2 / \"@6151? W 11 (by trapezoid rule), m0 532 / f (m) dz % 12 (by composite trapezoid rule with nodes $0, $1, $2), 930 / it") d1? W 13 (by Simpson's rule). 330 Write down the formulae for 11, 12, 13 and then nd two constants oz, ,8 E R such that the following equality holds: [5] I3 = CH 11 + ,8 I2

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