The velocity (in miles per hour) of a woman walking in a straight path is given by v(t) = -5t²+t+2, for 0 ≤ t ≤ 2. (a) Use R₁, the right endpoint approximation with 4 rectangles, to approximate the distance she traveled between t = 0 and t = 2 hours. (b) What is one way we could obtain a better approximation to the distance she traveled?

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