The Heaviside function H is defined by H (t ) = 10 if t

The Heaviside function H is defined by O if t < O if t 2 0. It is used in the study of electric circuits to represent the sudden surge of electric current, or voltage, when a switch is instantaneously turned on. The Heaviside function can also be used to define the ramp function y = ctH(t), which represents a gradual increase in voltage or current in a circuit. (a) Sketch the graph of the ramp function y tH(t). Y 1 Y 1 1 o Y 1 Y 1