Sketch the region R defined by 1 ≤ x ≤ 2 and 0 ≤ y ≤ 1/x³. a) Find (exactly) the number a such that the line x = a divides R into two parts of equal area. b) Then find (to 3 places) the number b such that the line y = b divides R into two parts of equal area.
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