Higher Engineering Mathematics B S Grewal -

Find the inverse Laplace transform of: [ \fracs^2 + 2s + 3(s^2 + 2s + 2)(s^2 + 2s + 5) ] (7 marks)

Find the radius of curvature for the curve ( y = a \log \sec\left(\fracxa\right) ) at any point. (7 marks) higher engineering mathematics b s grewal

Find the half-range cosine series for ( f(x) = x(\pi - x) ) in ( (0,\pi) ). (7 marks) Find the inverse Laplace transform of: [ \fracs^2

Solve using Laplace transform: [ y'' + 4y = 8t, \quad y(0) = 0, \quad y'(0) = 2 ] (7 marks) \quad y(0) = 0