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A curve is defined by the parametric equations x = 3 - 4t, and y = 1 + 2/t. Find dy/dx in terms of t.

At first glance, this looks quite tricky, as usually when we are asked to find dy/dx, we have one equation, but here we have 2.

So in this case, we need to use the statement that dy/dx = (dy/dt) * (dt/dx)

Then, we just need to find dy/dt and dy/dx.

dy/dt = -2/t^2

dx/dt = -4, and therefore dt/dx = -1/4

So, (dy/dt)*(dt/dx) = (-2/t^2)*(-1/4)

= 1/2t^2.

Wesley M. 13 Plus  Maths tutor, A Level Maths tutor, 11 Plus Maths tu...

4 months ago

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