Eliminate the parameter t, write the equation in Cartesian coordinates, then sketch the graphs of the vector-valued functions. (Hint: Let x = 2t and \(y=t^{2}\) . Solve the first equation for x in terms of t and substitute this result into the second equation.)

r(t) = 3(cost)i + 3(sint)j

Text Transcription:

y = t^2

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