Question

A function is reprersented parametrically by the equations `x=(1+t)/(t^3); y=3/(2t^2)+2/tdotT h e nt h ev a l u eof|(dy)/(dx)-x((dy)/(dx))^3|` is__________

Answer 1

`(dx)/(dt)=-(3)/(t^(4))-(2)/(t^(3))=-((3+2t)/(t^(3)))`
`(dy)/(dt)=-((3)/(t^(3))+(2)/(t^(2)))=-((3+2t)/(t^(3)))`
`"or "(dy)/(dx)=t or (dy)/(dx)-x((dy)/(dx))^(3)=t-((1+t)/(t^(3)))cdott^(3)=-1`