If `x=acos^3theta,y=bsin^3theta,fin d(d^3y)/(dx^3)`at `theta=0.`

1.	If `x=acos^3theta,y=bsin^3theta,fin d(d^3y)/(dx^3)`at `theta=0.`
Answer» Correct Answer - Does not exist `x=acos^(3) theta, y = b sin^(3)theta` `y_(1)=(dy)/(dx)=(3b sin^(2) theta cos theta)/(-3a cos^(2) theta sin theta)` `=-(b)/(a) tan theta, if sin theta ne 0, cos theta ne 0` Therefore, `y_(1)` does not exist a `theta = 0.` Hence, `y_(2) and y_(3)` do not exist at `theta=0.`

Discussion

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