Question: ? ??? Romberg integration for approximating f(x) dx gives R1 = 8 and R22 = -1 then f(2)= O 6.5 O 5.5 O -4.75 O-9.5

Romberg integration for approximating f(x) dx gives R1 = 8 and R22

= -1 then f(2)= O 6.5 O 5.5 O -4.75 O-9.5 Consider

the quadrature formula Q[f], of the form: 5 8 5 [(x)dx Q[f]

:= {}(0.6) +(0) +- (0.6) F(x)dx Using this quadrature formula Q[f], the

?

???

Romberg integration for approximating f(x) dx gives R1 = 8 and R22 = -1 then f(2)= O 6.5 O 5.5 O -4.75 O-9.5 Consider the quadrature formula Q[f], of the form: 5 8 5 [(x)dx Q[f] := {}(0.6) +(0) +- (0.6) F(x)dx Using this quadrature formula Q[f], the approximation of f*xe* dx is: O 0.13844565 O 4967.10668 O 14.7766778 O -4.2919282 Consider the quadrature formula Q[f], of the form: 5 8 5 [(x)dx Q[] =(-0.6) + (0) +(0.6) F(x)d Using this quadrature formula Q[], the approximation of fxe x dx is: O 0.13844565 O 4967.10668 O 14.7766778 O -4.2919282 Consider the initial value problem: y' = 2ty + 2t 0t 1, y(0) = 1 The approximation of y(1) by using the modified Euler's method with h = 0.5 is most nearly: O 3.40625 O 7.69531 O 4 O 2.85156

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