Question: (a) Find the highest and lowest points on the curve x4 + y4 = x2 + y2. (b) Sketch the curve. (Notice that it is

(a) Find the highest and lowest points on the curve x4 + y4 = x2 + y2.
(b) Sketch the curve. (Notice that it is symmetric with respect to both axes and both of the lines y = ±x, so it suffices to consider y > x > 0initially.)
(c) Use polar coordinates and a computer algebra system to find the area enclosed by the curve.

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