?(a) Find the highest and lowest points on the curve \(x^4+y^4=x^2+y^2\).(b) Sketch the
Chapter 16, Problem 2(choose chapter or problem)
(a) Find the highest and lowest points on the curve \(x^4+y^4=x^2+y^2\).
(b) Sketch the curve. (Notice that it is symmetric with respect to both axes and both of the lines \(y=\pm x\), so it suffices to consider \(y \geqslant x \geqslant 0\) initially.)
(c) Use polar coordinates and a computer algebra system to find the area enclosed by the curve.
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