For the following system where α = - 4, accurately hand sketch the root locus and identify the following points/parameters:a. asymptotes, b.break in and break away points, c.range of K for stability, d.the value(s) of K to yield a stable system with dominant 2nd order poles having 0.707 damping ratio.

An electric kettle is made out of stainless steel, weighs two pounds (when empty) and is equipped with a heating element that consumes 2 kw of electricity. assuming that the water and the kettle are at the same uniform temperature at any moment of time, calculate the shortest possible time to bring 2 quarts of water from room temperature to the onset of boiling