Question

In: Math

For the following exercises, explain the notation in words. The volume f(t) of a tank of gasoline, in gallons, t minutes after noon. f′(30) = −20

For the following exercises, explain the notation in words. The volume f(t) of a tank of gasoline, in gallons, t minutes after noon. 

f′(30) = −20

Solutions

Expert Solution

Let the volume of a tank of gasoline (in gallons) at time t minutes after noon is f(t).

 

Consider the following:

f\'(30) = -20

 

This implies that the rate of change of volume of a tank of gasoline at t = 30, that is at 12:30p.m is equal to -20.

 

This means that the tank is losing 20 gallons of gasoline every minute at 12:30p.m.


This means that the tank is losing 20 gallons of gasoline every minute at 12:30p.m.

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