is the temperature of the lamp in the( left hand) projector in class a continuous or discontinuous function of time? explain.
2007-01-25 14:41:49 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Since heat is a polynomial function of current, and current is continuous, the temperature in the lamp should be a continuous function, once the current is on.
Once you turn off the current, the lamp cools down according to the equation for heat dissipation, which is also continuous.
At the moment you turn the current on or off, the heat would not be a continuous function as the current is not continuous at that moment.
2007-01-25 14:57:02 · answer #1 · answered by Joni DaNerd 6 · 0⤊ 0⤋
The temperature is a continuous function of time. If you were to graph the temperature over time, there would never be a "jump" where the temperature INSTANTANEOUSLY rises or falls by (for example) 10 degrees.
The rate of CHANGE can be discontinuous. When you turn on the projector, the temperature immediately starts increasing, so its rate of change goes instantaneously from 0 to a positive number. But the temperature itself is a continuous functions of time.
2007-01-25 22:57:55 · answer #2 · answered by actuator 5 · 0⤊ 0⤋
it is continuous. the lamp can't jump from one temperature to another, it has to be at every temperature in between. think of a thermometer...can the mercury jump from 50 to 60 without hitting all the numbers in between?
2007-01-25 22:53:52 · answer #3 · answered by e2a888 1 · 0⤊ 0⤋
dont use its it creat problem
2007-01-25 22:50:56 · answer #4 · answered by Anonymous · 0⤊ 0⤋