When you turn on a hot-water faucet, the temperature T of the water depends on how long the water has beenrunning.(a) Sketch a possible graph of T as a function of the time t that has elapsed since the faucet was turned on (b) Describe how the rate of change of T with respect to t varies as t increases.(c) Sketch a graph of the derivative of T
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
When you turn on a hot-water faucet, the temperature T
of the water depends on how long the water has been
running.
(a) Sketch a possible graph of T as a function of the time t that has elapsed since the faucet was turned on (b) Describe how the rate of change of T with respect to t varies as t increases.(c) Sketch a graph of the derivative of T
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