Solution to calculus, assignment help

I’m trying to dig myself out of a hole for this assignment.

I worked out problem #1, and think I’ve got problem #3 by proxy. Please make those a lower priority, but I would appreciate an explanation of those as well.

For question II (question #2), is the symbol given referring to the tangent of the companion curve with the x,y curve? How do I solve question #2?

If somebody can give me intellegent answers for the majority of these questions within 20 hours, I would very much appreciate it.