Question

PLEASE SOLVE ALL QUESTIONS SHOWING WORK

Parameterize the plane curve X : x4 + y4 = x2y + xy2. Find the velocity vector v(t) = X'(t) and the acceleration vector a(t) = X"(t) at each point X(t) of the curve X : X(t) = (2cos(t), sin(t),t), 0 t

Show transcribed image text Parameterize the plane curve X : x4 + y4 = x2y + xy2. Find the velocity vector v(t) = X'(t) and the acceleration vector a(t) = X"(t) at each point X(t) of the curve X : X(t) = (2cos(t), sin(t),t), 0 t

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