Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.
y = t + t^2
dx/dt = 1-1/t^2
dy/dt = 1+2t
dy/dx = (1+2t)/( 1-1/t^2)
At t=1 dy/dx = infinite
Hence the tangent is parallel to y axis
at t=1 y=2
Hence the tangent equation is y=2
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