find equations for the osculating normal and rectifying planes to the curve x=3t-t^2, y=3t^2, z=3t+t^3 at point where t=1

Answer 1

standard differential geometry stuff. You surely have formulas for this in your text. Any google search will provide many discussions of the topic.

What do you come up with? We'll be happy to check over your answers.

Answer 2

Yes