(a) Find the highest and lowest points on the curve x4 + y4 = x2 + y2....

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(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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College Algebra Graphs and Models

ISBN: 978-0321845405

5th edition

Authors: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna

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