I calculated the curvature, but I want to make sure I did it correctly.
Consider the parametric curve f(t)= [ 4 (sin(3t))^2, 1-(cos(3t))^2, 2-2 (cos(3t))^2]. Calculate its curvature. What conclusion can you make about the curve based on this curvature?
Re: I calculated the curvature, but I want to make sure I did it correctly.
Originally Posted by kandygirl16
Consider the parametric curve f(t)= [ 4 (sin(3t))^2, 1-(cos(3t))^2, 2-2 (cos(3t))^2]. Calculate its curvature. What conclusion can you make about the curve based on this curvature?
Do you know that curvature is $\displaystyle \kappa (t) = \frac{{\left\| {f'(t) \times f''(t)} \right\|}}{{\left\| {f'(t)} \right\|}}~?$