Chapter 1.2, Problem 60E

(a)

To determine

To sketch: The graph of the ramp function $y=tH\left(t\right)$.

(b)

To determine

To sketch: The graph of circuit if the switch is turned at t = 0 and the voltage gradually increased to 120 volts in 60 seconds; write the formula for $V\left(t\right)$ in terms of $H\left(t\right)$ for

$t\le 60$.

(c)

To determine

To sketch: The graph of the voltage in a circuit if the switch is turned at t = 7 seconds and gradually increased t0 100 volts over a period of 25 seconds; write the formula for $V\left(t\right)$ in terms of $H\left(t\right)$ for $t\le 32$.