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 2.4, 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

Answer to Problem 10E

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

Answer to Problem 10E

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

Answer to Problem 10E

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

Answer to Problem 10E

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

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

Answer to Problem 10E

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

Explanation of Solution

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.

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!