A calculus problem by Ankit Nigam

Calculus Level pending

A tangent is drawn at a point M (1,8) to the curve y=\(\sqrt { \left( 5-{ x }^{ \frac { 2 }{ 3 } } \right) { }^{ 3 } } \) . Find the length of its segment included between the coordinate axes.

(Ans upto 2 decimal places)

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