Consider the space curve defined by r(t) = cos^3 ti + sin^3 tk.
a) Find the curvature of r(t) at t = pi/4.
b) Find the unit tangent and unit normal vectors at t = pi/4.
c) Find the tangential and normal components of the acceleration at t = pi/4.
Consider the space curve defined by r(t) = cos^3 ti + sin^3 tk.
a) Find the curvature of r(t) at t = pi/4.
b) Find the unit tangent and unit normal vectors at t = pi/4.
c) Find the tangential and normal components of the acceleration at t = pi/4.
Do you know the correct formulae? Can you calculate the required derivatives? What have you tried and where do you get stuck?