Question #93968
Trace the curve (x/a)^2/3 + (x/a) ^2/3=1
1
Expert's answer
2019-09-11T09:34:57-0400

The curve equation can be transformed as follows:


(xa)2/3+(xa)2/3=1(\frac{x}{a})^{2/3}+(\frac{x}{a})^{2/3}=1(xa)2/3=12(\frac{x}{a})^{2/3}=\frac{1}{2}xa=(12)3/2\frac{x}{a}=(\frac{1}{2})^{3/2}x=a(12)3/2x=a(\frac{1}{2})^{3/2}

This equation represents vertical line, at x=a23/2=constx=\frac{a}{2^{3/2}}=const.

The line is vertical as it is independent of yy


As an example, the plot for a=1a=1 is attached

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