44.x=4, y =

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Solution

It is given that x and y are parametrically connected by the equations,

x=4t(1)

And,

y= 4 t (2)

Differentiate equation (2) with respect to t.

dy dt = d dt ( 4 t ) dy dt =4( −1 t 2 ) dy dt = −4 t 2

Differentiate equation (1) with respect to t.

dx dt =4

We know that,

dy dx = dy dt dx dt

Substitute the value of dy dt and dx dt .

dy dx = −4 t 2 4 dy dx = −1 t 2

Thus, the solution is dy dx = −1 t 2 .

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