(Step-by-Step) For the ellipse α(t)=(a cos t, a sin t), show that \kappa=(a b)/((a^2 sin ^2 t+b^2 cos ^2 t)^3 /
Question: For the ellipse \(\alpha(t)=(a \cos t, a \sin t)\), show that \(\kappa=\frac{a b}{\left(a^{2} \sin ^{2} t+b^{2} \cos ^{2} t\right)^{3 / 2}}\)
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(Solution Library) Show that a formula for the curvature of any plane
![[Solution Library] Show that, for any helix,](/images/solutions/MC-solution-library-73503.jpg "[Solution Library] Show that, for any helix, the Darboux vector")
[Solution Library] Show that, for any helix, the Darboux vector
(Solution Library) Find a curve σ(s) with \kappa_σ(s)=(1)/(1+s^2)
![[Solution] Let σ be a closed curve](/images/solutions/MC-solution-library-73505.jpg "[Solution] Let σ be a closed curve enclosing a region R.")
[Solution] Let σ be a closed curve enclosing a region R.
![[Step-by-Step] For the paraboloid z=x^2+y^2 define a](/images/solutions/MC-solution-library-73506.jpg "[Step-by-Step] For the paraboloid z=x^2+y^2 define a non-Monge")
[Step-by-Step] For the paraboloid z=x^2+y^2 define a non-Monge
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