The graph of the equation x2/3 + y2/3 = 1, which is shownin the accompanying figure, is
Chapter 0, Problem 70(choose chapter or problem)
The graph of the equation \(x^{2 / 3}+y^{2 / 3}=1\), which is shown in the accompanying figure, is called a four-cusped hypocycloid.
(a) Use Theorem 0.2.3 to confirm that this graph is symmetric about the \(x\) -axis, the \(y\) -axis, and the origin.
(b) Find a function \(f\) whose graph in the first quadrant coincides with the four-cusped hypocycloid, and use a graphing utility to confirm your work.
(c) Repeat part (b) for the remaining three quadrants.
Equation Transcription:
Text Transcription:
x^⅔ + y^⅔ = 1
x
y
f
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