Home / Expert Answers / Calculus / find-a-rectangular-equation-for-the-plane-curve-defined-by-the-parametric-equations-x-t-3-1-pa309

(Solved): Find a rectangular equation for the plane curve defined by the parametric equations. \\[ x=t^{3}+1, ...



student submitted image, transcription available below
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 \\)


We have an Answer from Expert

View Expert Answer

Expert Answer



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   .


We have an Answer from Expert

Buy This Answer $5

Place Order

We Provide Services Across The Globe