# A possible graph of T as a function of the time t that has elapsed since the faucet was turned on.

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 2.7, Problem 54E

a.

To determine

## A possible graph of T as a function of the time t that has elapsed since the faucet was turned on.

Expert Solution

### Explanation of Solution

Given information:

When a hot water faucet is turned on, the temperature T of the water depends on how long the water has been running.

Calculations:

When the hot water faucet is turned on, the temperature of water raises. The temperature of water keeps on rising as long as the faucet is turned on. The raise in temperature becomes constant and does not increase further when the water reaches boiling point. Initially the temperature rises very rapidly and with passing of tine the rate of increase in temperature becomes very slow.

b.

To determine

Expert Solution

### Explanation of Solution

Given information:

When a hot water faucet is turned on, the temperature T of the water depends on how long the water has been running.

Calculations:

When the hot water faucet is turned on, the temperature of water raises. The temperature of water keeps on rising as long as the faucet is turned on. The raise in temperature becomes constant and does not increase further when the water reaches boiling point. Initially the temperature rises very rapidly and with passing of tine the rate of increase in temperature becomes very slow.

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