Consider the following function. f(x) = e4x2,    a = 0,    n = 3,    0 ≤ x ≤ 0.2 (a) Approximate f by a Taylor polynomial with degree n at the number a. T3(x) = ______       (b) Use Taylor's Inequality to estimate the accuracy of the approximation  f(x) ≈ Tn(x)  when x lies in the given interval. (Round your answer to five decimal places.) |R3(x)| ≤ ______

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