2. My amusement park was recently shut down for \"excessive calculus\" and also \"sacrific- ing safety for the sake of a math problem\". Whatever! The first ride was a merry-go-round. Its shape was the space curve of the vector function r(t) = (5 cos(t), 8 3 sin(t), 1 + 4 sin(t)). (a) Find the equation of the line tangent to the space curve at (0, 5, 5). (b) Find all the points where the space curve intersects the plane 2 = 3. (c) Pick your favorite point on the space curve, and find the curvature at that point