The temperature, \( T \), in °F, of a loaf of bread placed in the oven is given by \( T = f(t) \), where \( t \) is in minutes since the bread was placed in the oven. Is \( f'(t) \) positive or negative?

The quantity f′(t) represents the rate of temperature change in the bread. If this value is positive, it means the temperature is rising; if it's negative, the temperature is dropping. The actual sign of f′(t) would require the specific formula for f(t).

Explanation:

The quantity f′(t) corresponds to the derivative of the function f(t), which in this context would represent the rate of change of the temperature T of the loaf of bread with respect to time.

In terms of physical interpretation, if f′(t) is positive, it signifies that the temperature of the bread is increasing over time; conversely, if f′(t) is negative, it means the temperature is decreasing. Since the loaf of bread is being placed into the oven, we would expect the temperature to be increasing, hence f′(t) should be positive. However, this is an assumption - the actual sign of f′(t) would be determined by the specific formula provided for f(t).

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