Find parametric equations for the tangent line to the curve


Quiz 3 - Math 53, section 213

1. Find parametric equations for the tangent line to the curve given by parametric equations

x = 1 + 2√t, y = t3 - t, z = t3 + t, at the point (3, 0, 2).

2. Find the limit, if it exists, or show that the limit does not exist:

lim(x,y)→(0,0)(x4 - 4y2/x2 + 2y2).

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