Solved Problems for Implicit and Parametric Functions
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Problem:
Express the implicit curve given by
(y − 1)2 = 4 − ln(x)
as a function y = y(x) on some
neighborhood of the point (1,−1).
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Problem:
Prove that the equation
y3 − 3xy = 1
defines a function y = y(x)
on some neighborhood of the point (0,1).
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Problem:
Identify the shape of the parametric curve
x = et − 1,
y = e2t − 2et
for t real.