Find all the polynomials f(t) of degree < 3 such that ' /(0) = 3, /(l) = 2, /(2) = 0

Chapter 1, Problem 50

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Find all the polynomials f(t) of degree < 3 such that ' /(0) = 3, /(l) = 2, /(2) = 0, and fQ2 f(t)dt = 4. (If you have studied Simpsons rule in calculus, explain the result.)

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