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What is the order of accuracy of a centered finite difference formula derived from interpolation over three equally spaced nodes? How many evaluations of the trapezoid formula are needed to produce a sixth-order integral estimate using extrapolation? Which is/are true about higher order finite difference formulas compared to first order formulas? Check all that apply. Higher order formulas are less severely affected by roundoff error. Higher order formulas converge more quickly as h approaches zero. Higher order formulas depend nonlinearly on the function values. Higher order formulas use more values of the function. What is the order of accuracy of a centered finite difference formula derived from interpolation over three equally spaced nodes? How many evaluations of the trapezoid formula are needed to produce a sixth-order integral estimate using extrapolation? Which is/are true about higher order finite difference formulas compared to first order formulas? Check all that apply. Higher order formulas are less severely affected by roundoff error. Higher order formulas converge more quickly as h approaches zero. Higher order formulas depend nonlinearly on the function values. Higher order formulas use more values of the function