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9. Which of the following methods can interpolate a set of data points with a function that is differentiable at each data point? Linear Splines LU Decomposition Power Method . Bisection Method Cubic Splines 10. Assume that you have a nonlinear spring, with spring force given by F() k2 You can computework done over a displacement of x = a to x = b, by performing the integration, OF(x)dz. What will be the error incurred if Simpsons rule is used to perform this integration. ,

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