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(Solved): Find a rectangular equation for the plane curve defined by the parametric equations. \\[ x=t^{3}+1, ...
Find a rectangular equation for the plane curve defined by the parametric equations. \\[ x=t^{3}+1, y=t^{3}-10 ;-2 \\leq t \\leq 2 \\] A. \\( y=x^{3} \\); for \\( x \\) in \\( -3 \\leq x \\leq 1 \\) B. \\( y=-x^{2} \\); for \\( x \\) in \\( -4 \\leq x \\leq 4 \\) C. \\( y=-x-11 \\); for \\( x \\) in \\( -7 \\leq x \\leq 9 \\) D. \\( y=x-11 \\); for \\( x \\) in \\( -7 \\leq x \\leq 9 \\)
Given parametric equation is , , .The objective is to find the rectangular equation for the plane curve defined by the given parametric equations.Solve the equation for , obtained as Substitute in Hence, .Use property .