Show that Simpson's rule is exact for all cubic polynomials and hence using a suitable quartic polynomial obtain the error term in the form Kƒ(iv) (§) (where f(iv) denotes the fourth derivative of f) for some value &€ (-h, h) where K is a constant to be determined. Show that the error in the integral I is consistent with this error term.

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A: Consider the function z=f(x)·g(x) where f and g are both function of x. So we can rewrite the…

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Q: Prove that f(x)=4x-2^2x has at least one real zero in the interval [1,2] without actually solving…

A: The given data is: Prove that fx=4x-22x has at least one real zero in the interval 1,2 without…

Q: 4. Find The coefficient of the x’term in the Maclaurin polynomial for sin(2x)

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