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Let q be the function given by q(x) = (x^3)/8 + the integral of f'(t) dt as 2 goes to infinity. And let P(x) be

Let q be the function given by q(x) = (x^3)/8 + the integral of f'(t) dt as 2 goes to infinity. And let P(x) be the second-degree Taylor Polynomial for q about x=4. (a) Find P(x) and use it to approximate q(4.2) (b) Use the Lagrange error bound to show that |q(4.2) - P(4.2)| < 1/500

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