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 r05) = (5 c0305), 8 i 3 511105), 1 + 4 511105)). (a) Find the equation of the line tangent to the space curve at (O, 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