(13 points) Suppose that f(x) is a differentiable function from R to R and a is a real number satisfying So f(t)eª(t²-x²

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13 Points Suppose That F X Is A Differentiable Function From R To R And A Is A Real Number Satisfying So F T Ea T X 1 (27.08 KiB) Viewed 11 times

(13 points) Suppose that f(x) is a differentiable function from R to R and a is a real number satisfying So f(t)eª(t²-x²) dt = sin x (a) Find a if f¹ (7) (b) Let g(x) = f'(x). Find the linearization of g(x) at x = 0 and use it to approximate g(0.04). = 1.