Start your trial now! First week only $4.99!*arrow_forward*

BuyFind*launch*

4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 2.4, Problem 10E

**(a)**

To determine

**To check:** Whetherthe function “The temperature at a specific location as a function of time.” is continuous or not.

Expert Solution

Yes, the function, “The temperature at a specific location as a function of time” is continuous.

The temperature at a specific location as a function of time

This implies that the temperature at any time increases or decreases smoothly without any sudden high rise or decrease as a function of time and has no break points.

**(b)**

To determine

**To check:** Whetherthe function “The temperature at a specific time as a function of distance due west from New York.” is continuous or not.

Expert Solution

Yes, the function, “The temperature at a specific time as a function of distance due west from New York” is continuous.

The temperature at a specific time as a function of distance due west from New York This implies that the temperature at any particular time increases or decreases smoothly without any sudden increase or decrease as a function of function of distance due west from New York.

**(c)**

To determine

**To check:** Whetherthe function “The altitude above sea level as a function of the distance due west from New York City.” is continuous or not.

Expert Solution

No, the function, “The altitude above sea level as a function of the distance due west from New York City.” is not continuous.

The altitude above sea level may increase or decrease suddenly even if the distance due west from New York City increases smoothly.

For example, consider gorge where the altitude decreases suddenly to a very high scale without passing through all the intermediate values.

**(d)**

To determine

**To check:** Whetherthe function “The cost of a taxi ride as a function of the distance travelled” is continuous or not.

Expert Solution

No, the function, “The cost of a taxi ride as a function of the distance travelled.” is not continuous.

With the increase in the distance travelled, the cost of the taxi ride reduces drastically.

**(e)**

To determine

**To check:** Whetherthe function “The current in the circuit for the lights in a room as a function of time.” is continuous or not.

Expert Solution

No, the function, “The current in the circuit for the lights in a room as a function of time.” is not continuous.

When the switch is on, the value of current in the circuit suddenly increases from zero to a non-zero positive value without passing through all intermediate values.