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.
Hey kandygirl16.
What did you obtain for the result? Is it positive, negative or zero? What can you conclude given it's sign?
Re: I calculated the curvature, but I want to make sure I did it correctly.
Quote:
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  = \frac{{\left\| {f'(t) \times f''(t)} \right\|}}{{\left\| {f'(t)} \right\|}}~?)
Re: I calculated the curvature, but I want to make sure I did it correctly.
something like that, we use a different formula though
