Cooling an Engine Suppose you’re driving your car on a cold winter day (20°F outside) and the engine overheats (at about 220°F). When you park, the engine begins to cool down. The temperature T of the engine r minutes after you park satisfies the equation
- (a) Solve the equation for T.
- (b) Use part (a) to find the temperature of the engine after 20 min (t = 20).
(a).
To express: The value of temperature
Answer to Problem 86E
The value of temperature
Explanation of Solution
Given:
Equation of temperature of the engine at time t minutes is,
Calculation:
The given equation,
Take exponential of both sides of above equation to evaluate T
Hence, the value of temperature
(b)
To Find: The temperature T when time is 20 minutes.
Answer to Problem 86E
The value of temperature T when time is 20 minutes is
Explanation of Solution
From part (a) the equation of temperature is,
Substitute the value 20 for t in the above equation.
Hence, value of temperature T when time is 20 minutes is
Chapter 4 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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