Let C, pictured below, be the curve of intersection of the hyperbolic paraboloid y2 -22 = x-2 and the cylinder y2 + 22 = 9. (a) Provide a smooth parametrization for the curve C. (b) Set up, but do not evaluate, a definite integral equal to the arc length of C. (c) Find a vector equation for the tangent line to C at the point (-7, 0, 3)