A transfer function has the following zeros and poles: one zero at s = 0 and one zero at s = [infinity]; one pole at s = −100 and one pole at s = −106. The magnitude of the transfer function at ω = 104 rad/s is 100. Find the transfer function T(s) and sketch a Bode plot for its magnitude.

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