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Solved: Special curves The following classical curves have
Chapter 7, Problem 73AE(choose chapter or problem)
69-75. Special curves The following classical curves have been studied by generations of mathematicians. Use analytical methods (including implicit differentiation) and a graphing utility to graph the curves described by the following equations. Include as much detail as possible.
\(y^{4}-x^{4}-4 y^{2}+5 x^{2}=0\) Devil’s curve
Questions & Answers
QUESTION:
69-75. Special curves The following classical curves have been studied by generations of mathematicians. Use analytical methods (including implicit differentiation) and a graphing utility to graph the curves described by the following equations. Include as much detail as possible.
\(y^{4}-x^{4}-4 y^{2}+5 x^{2}=0\) Devil’s curve
ANSWER:Solution 73AE Step1 Given equation 4 4 2 2 y -x -4y +5x =0 Step2 Differentiate the given equation implicitly we get dx (y -x -4y +5x