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The Rectangular Equation of the Plane Curve, with Parametric Equations x(t)=3t3,y(t)=t3x ( t ) = \sqrt [ 3 ] { 3 - t } , y ( t ) = \sqrt [ 3 ] { t }

Question 61

Multiple Choice

The rectangular equation of the plane curve, with parametric equations x(t) =3t3,y(t) =t3x ( t ) = \sqrt [ 3 ] { 3 - t } , y ( t ) = \sqrt [ 3 ] { t } with t(,) ,t \in ( - \infty , \infty ) , is


A) x=y333x = \sqrt [ 3 ] { y ^ { 3 } - 3 }
B) y=x333y = \sqrt [ 3 ] { x ^ { 3 } - 3 }
C) x=y333x = \sqrt [ 3 ] { y ^ { 3 } } - 3
D) y=x333y = \sqrt [ 3 ] { x ^ { 3 } } - 3
E) x=3y33x = \sqrt [ 3 ] { 3 - y ^ { 3 } }

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