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4. Consider g(x) = asinx +b, if x s 2n (x2 - 1x+ 2, if x> 2n A. Find the values of a and

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4. Consider g(x) = asinx +b, if x s 2n (x2 - 1x+ 2, if x> 2n " A. Find the values of a and b such that g(x) is a differentiable function (12 points). B. Write the equation of the tangent line to g(x) at x = 2nt. (9 points) C. Use the tangent line equation from part B to write an approximation for the value of g(6). Do not simplify. (6 points)

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