Textile Engineering & Fibre Science (TF) 2007

The eigen values of the matrix are λ1 = -1 and λ2 = -4. An eigen vector of the given matrix is

A function g(t) is defined as follows The Laplace transform of the function g(t) is given by

A worker attends to 1000 spindles in a spinning mill. If the probability of yarn breakage on each spindle, during a time interval t, is 0.005; then, the most probable number of breaks during this interval is

If f(x,y,z) = 4(x2 + y2) - z2, then ∇f at a point (1,0,2) is given by

Given a vector u(x,y,z) = xy i + (z+x) j + y k, the points where the ∇ × u vanishes lie on the plane

The process of drawing of as-spun filaments to impart orientation is typically carried out at temperatures