Let the position vector of a stone at time,t be given as r(t)=cosh (t^2-1)I+ sinh(1-t)j+Bt^2k
Assume that the position vector is Normal to the acceleration vector.
Find the value of B at Time t=5seconds
A particle moves in space so that at time t its position is stated as x=2t+3, y=t2+3t, z=t3+2t2 Find the components of its velocity and acceleration when t=1
Find the general solution of these differential equations.
3) dy/dx = cosx/y 4) dy/dx = 4x/ey 5) x+4ydy/dx = 0
Give an example of seperable Hausdroff space which has a non seperable subspace
Prove that seperability is a topological property