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If x and y are connected parametrically ...

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

Verified by Experts

Given equations are `x=2at ^2,y=at ^4`
`Then, dx/dt = d/dt (2at ^2 )`
`=2a. d/ dt (t^2) `
`=2a.2t=4at`
`dy/dt = d/dt (at ^4)`
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