Let $\mathbf { r } ( t ) = \cos 2 t \mathbf { i } + 2 t \mathbf { j } + \sin 2 t \mathbf { k }$

Q1: A particle is moving along the

Q3: Find a parametric representation for the

Q4: Find the length of the circular

Q5: Find the equation of the osculating

Q6: The position of a particle at

Q7: Use the curvature formula to compute the

Q8: Let the acceleration of a particle

Q9: Find the tangent vector <span

Q10: Identify the geometric object that is

Q11: Find the curvature <span class="ql-formula"