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 $\displaystyle \kappa (t) = \frac{{\left\| {f'(t) \times f''(t)} \right\|}}{{\left\| {f'(t)} \right\|}}~?$

Re: I calculated the curvature, but I want to make sure I did it correctly.

something like that, we use a different formula though