: Solve as indicated. Find the number k > 1 such that the region bounded by the curves y = 1, y = x-2, and x = k has area 6 square units. O Find the number k >0 such that the region bounded by the curves y = x2 and y = kx has area 9 square units. O Find the value of k such that the area of the region under the curve y = x(k – x), (0 <¤ < k), is 1 square unit. O Find the value of k such that the line y = kx bisects the region bounded by the x-axis and the curves y = x – x². - Find the value of k between -1 and 2 such that the area of the region bounded by the lines y = -x, y = 2x, and y = 1+ kx is a minimum. %3D

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A:

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