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

### 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 2.4, 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.

### Explanation of Solution

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.

### Explanation of Solution

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.

### Explanation of Solution

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.

### Explanation of Solution

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

(e)

To determine

Expert Solution