a Sketch all together in one 3D plot the cylinders x 2 y 2 25 and y 2 z 2 20 and indicate the curve C that is the intersection of these two cylinders b Find a vector equation parameterizing the part of the curve C that is in the positive octant recall that the positive octant is the region defined by x 0 y 0 z 20 c Find a vector equation for the tangent line to the curve of the intersection of the cylinders x 2 y 2 25 and y 2 z 2 20 at the point 3 4 2