The Heaviside function defined in Exercise 59 can also be used to define the ramp

Chapter 1, Problem 60

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The Heaviside function defined in Exercise 59 can also be used to define the ramp function , which represents a gradual increase in voltage or current in a circuit. (a) Sketch the graph of the ramp function . (b) Sketch the graph of the voltage in a circuit if the switch is turned on at time and the voltage is gradually increased to 120 volts over a 60-second time interval. Write a formula for in terms of for . (c) Sketch the graph of the voltage in a circuit if the switch is turned on at time seconds and the voltage is gradually increased to 100 volts over a period of 25 seconds. Write a formula for in terms of for .

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