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(e2tite-5-tk) dt 1. Evaluate the integral 2. Find a vector function that represents the curve of intersection of the 3. Find the arclength of the curve r(t) = t3ittj+ V6t2k, 1 4. Let r(t) 0 paraboloid ~ = 4x2 +y2 and the parabolic cylinder y = x2 . Hint, 9t4 + 6t2 + 1 = (3t2 + 1 )2 curvature K of r(t) at the point t = 1. t 3. tit 2j+ 3k, find the unit tangent vector T and the
