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Differential Geometry | Topology
Sketch the level curves f−1(c) for the following functions: (a) f(x,y) = x2 + y2, c = 0,1,2,3,4.
Differential Geometry | Topology
Sketch the level curves f−1(c) for the following functions: (a) f(x,y) = x2 + y2, c = 0,1,2,3,4.
Differential Geometry | Topology
If u=3t2i+et j−t k and v=sinti−costj+e2tk then, at t=0, ddt(u×v)=
Differential Geometry | Topology
Show that (sigma raise to k) is the smallest convex set which contains all vertices of (sigma raise to k)
Differential Geometry | Topology
Find the unit tangent T, the unit normal N and the curvature K for the curve r(t) =<2 sint, 5t, 2 cost>.
Differential Geometry | Topology
Find the curvature of the parabolic curve r(t) =<t,t^2>.
Differential Geometry | Topology
Reparameterize the curve r(t) = <2t,1-3t, 5 + 4t> with respect to the arclength s, measured from the point t= 0.
Differential Geometry | Topology
Show that if X is Hausdorff, a net in X converges to atmost one point.
Differential Geometry | Topology
Show that sigma^k is the smallest convex set which contains all vertices of sigma^k.
Differential Geometry | Topology
Let X and Y be spaces with points x0 element of X and y0 element of Y then
π1(X×Y,(x0,y0)) isomorphic to π1(X,x0)× π1(X,y0).
π1(X×Y,(x0,y0)) isomorphic to π1(X,x0)× π1(X,y0).
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#339914 on Dec 2023
#339914 on Dec 2023