Hello, I was recently given a Calculus 3 assignment on Maple. Having no training or teaching, I watched videos and looked up possible routes to finding the solution. I have been working on this assignment the past couple days and could really use some help. The questions I am struggling with are posted below:
Equation given: r(t) = cos(t^3)i + sin(t^3)j + 2t^2 k
1. Use Maple to graph the tangent line at t = 0.8, and the path of the particle from t = 0 to t = pi/2 on the same graph. The line segment for the tangent line should be symmetric about the point of tangency.
2. Find the unit binormal vector when t = 0.8
3. Use Maple to find the normal vector when t = 0.8
4. Find the torsion when t = 0.8
5. Use Maple to graph the unit tangent vector at t = 0.8, the unit normal vector at t = 0.8, the binormal vector at t = 0.8, and the path of the particle from t = 0 to t = pi/2 on the same graph. All the vectors should have the particle's position at t = 0.8 for their initial point. (You are really graphin line segments of length 1.)
