Given that equation 1 attached below is true for all x ∈ R, do the following: a) Find the Maclaurin series for xsin(x2) b) Approximate the value of 0.1sin(0.01) using the 7th degree Maclaurin polynomial for xsin(x^2) c) Differentiate the series found in subpart a to determine the exact value of the series attached below.

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