Answer to Question #70833 in Geometry for sajid

Question #70833

Q. Which of the following curves are regular?
(i) γ(t) = (cos^2 t, sin^2 t) for -∞<t<∞
(ii) γ(t) = (cos^2 t, sin^2 t) for 0<t<π/2
(iii) γ(t) = (t, cosh t) for -∞<t<∞
Find unit speed reparametrisation of regular curve(s).

Expert's answer

Download Answer

Learn more about our help with Assignments: Geometry

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. Q. Show that the following curves are unit–speed: (i) γ(t) = (1/3 〖(1+t)〗^(3/2),1/3 〖(1-t)
2. Q. Calculate the arc–length of catenary γ(t) = (t, cosh t) starting at the point (0, 1).
3. Q. Calculate the arc length of catenary γ(t) = (t, cosh t) starting at the point (0, 1).
4. Q. Calculate the tangent vectors of the following curves: (i) γ(t) = (cos^2 t, sin^2 t) (ii) γ(t
5. Q. Find the cartesian equations of following parametrized curves: (i) γ(t) = (cos^2 t, sin^2 t) (
6. Q.Find the length of the astroid x=acos^3 t, y=asin^3 t, [0, 2π].
7. Q. Find parametrisations of following level curves Y^2-x^2=1, x^2/4+y^2/9 =1