Question: PROBLEM Suppose ' is continuous in an interval [ab], then the length of the curve y=f(x) from a point A=(a, f(a)) to a point B=(b,

PROBLEM Suppose ' is continuous in an interval [ab], then the length of the curve y=f(x) from a point A=(a, f(a)) to a point B=(b, f(b)) is calculated as - [ @ e Now, let us use the above formula to determine the length of some curves. The graph of the equation 2 2 x3 + y3=] is one of a family of curves called astroids because of their star-like appearance. Find the length of the asteroid shown in the adjoining figure by determining the length of half the first-quadrat portion, ie., = (1- x3)2 2

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