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An object is put outside on a cold day at time t = 0. Its temperature, H = f(t),

ID: 2834881 • Letter: A

Question

An object is put outside on a cold day at time t = 0. Its temperature, H = f(t), in degree C, is graphed in Figure 1.8. What does the statement f(30) = 10 mean in terms of temperature? Include units for 30 and for 10 in your answer. Explain what the vertical intercept, a, and the horizontal intercept, b, represent in terms of temperature of the object and time outside. For the function g(x) graphed here, find the following limits or explain why they do not exist. For the function f(t) graphed here, find the following limits or explain why they do not exist.

Explanation / Answer

a)
f(30)=10 means
at time t=30 minutes , Tempearture is 10 degree celsiuus

Unit of 30 is minutes
Unit of 10 is degree celsiuus

b)
Explaining a:

at t=0, temperature = a degree celsiuus
so, a is temperature at time t=0

Explaining b:

temperature is 0 at time t=b minutes
so b is time when temperature becomes 0 degree celsius