Suppose f(0) = 4, f'(0) = 2, f''(0) = 2, and f(3) (0) = 6. Find the third-order Taylor polynomial for f centered at 0 and use it to approximate f(0.1). The third-order polynomial is p3(x) = 4+2x+x²+x² (Simplify your answer.) The value of f(0.1) is approximately p3 (0.1) = (Simplify your answer.)

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