BuyFind

Single Variable Calculus: Concepts...

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

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.

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.7, Problem 54E

b.

To determine

The rate of change of T with respect to time t .

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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