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If x and y are connected parametrically by the equations given, without eliminating the parameter, Find `(dy)/(dx)`.`x=2a t^2, y=a t^4`

Text Solution

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`{:(x=2at^(2), |, y=at^(4)),(rArr (dx)/(dt) = 4at,|,rArr (dy)/(dt) = 4at^(3)):}`
`therefore (dy)/(dx) = (dy//dt)/(dx//dt) = (4at^(3))/(4at) = t^(2)`
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