SOLUTION: Consider the curve whose parametric equations are x= 6t^3 and y=3t and an equation for this curve in rectangular coordinates is:

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Consider the curve whose parametric equations are x= 6t^3 and y=3t and an equation for this curve in rectangular coordinates is:      Log On


   

Question 461956: Consider the curve whose parametric equations are x= 6t^3 and y=3t
and
an equation for this curve in rectangular coordinates is:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
First solve for t in terms of x:





Fortunately, we don't have to worry about multiple cube roots because we are assuming only real numbers, and the cube root functions are one-to-one. We replace our expression for t to get an equation y in terms of x.