[tex]\kappa=\frac{\left|\mathbf{r}'\times\mathbf{r}''\right|}{\left|\mathbf{r}'\right|^{3}}[/tex]trap said:so do I derive the curve and let it equal to zero to find the maximum? how about the minimum? also....I don't really get how do you find the curvature of the curve?
Sorry...I don't really get what you just typed, coz I don't think I have learned those in my course. We are currently doing parametric equations and polar coordinates. Is there an other approach to the question?apmcavoy said:[tex]\kappa=\frac{\left|\mathbf{r}'\times\mathbf{r}''\right|}{\left|\mathbf{r}'\right|^{3}}[/tex]
here you can say r=<θ, 3+sinθ>
What I just typed was the vector form. Do you know about vectors from a previous course? Maybe precalc.?trap said:Sorry...I don't really get what you just typed, coz I don't think I have learned those in my course. We are currently doing parametric equations and polar coordinates. Is there an other approach to the question?
See Mathworld - Curvature. You're probably looking for the extrinsic curvature of a curve in the plane.trap said:so do I derive the curve and let it equal to zero to find the maximum? how about the minimum? also....I don't really get how do you find the curvature of the curve?
no...we are not learning vectorsapmcavoy said:What I just typed was the vector form. Do you know about vectors from a previous course? Maybe precalc.?
yeah, something about the parametric, cartesian, polar equations are what we are learning. But I still don't get how to find the 'maximum' and 'minimum' values of the curvature.hypermorphism said:See Mathworld - Curvature. You're probably looking for the extrinsic curvature of a curve in the plane.
Differentiate and set equal to zero!trap said:yeah, something about the parametric, cartesian, polar equations are what we are learning. But I still don't get how to find the 'maximum' and 'minimum' values of the curvature.