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Lebombo
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Given parametric equations:[g(t)= x = [itex]t^{5}-4t^{3}[/itex]] and [h(t) = y = [itex]t^{2}[/itex]]Since polynomials can only be solved up to the 4th degree as I've just learned here on PhysicsForums, I guess it's not possible to isolate t in terms of x in the g(t) function and substitute into the h function to create a new function:
[f(x) = y = ...]
Thus the only way to deal with parametric equations of 5th degree and up is to use calculus ...dy/dx = dy/dt/dx/dt.
Correct?EDIT: P.S. I think its called eliminating the parameter. I just recalled there is a name that describes what I'm trying to do here.
[f(x) = y = ...]
Thus the only way to deal with parametric equations of 5th degree and up is to use calculus ...dy/dx = dy/dt/dx/dt.
Correct?EDIT: P.S. I think its called eliminating the parameter. I just recalled there is a name that describes what I'm trying to do here.
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