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 1.1, Problem 22E

a.

To determine

To graph: The temperature reading (T) as a function of (t) where the given data is as below,

    t02468101214
    T6865636365768591

Expert Solution

Explanation of Solution

Given information:

It is given that Temperature readings (in °F) were recorded every two hours from midnight to 2:00 PM in Baltimore on September 26, 2007. The time was measured in hours from midnight as shown in table below.

    t02468101214
    T6865636365768591

Graph:

The graph of T vs t can be drawn by using t as x-axis and T as y-axis. The obtained graphs is as like this,

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.1, Problem 22E , additional homework tip  1

Interpretation:

The obtained graph shows that first temperature decrease till 8 a.m. and then increases till 14:00 that means till 2 P.M.

b.

To determine

To calculate: The temperature at 11:00 a.m. using the given graph.

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.1, Problem 22E , additional homework tip  2

Expert Solution

Answer to Problem 22E

The temperature at 11:00 a.m. is 80°F in the given graph.

Explanation of Solution

Given information:

It is given that Temperature readings (in °F) were recorded every two hours from midnight to 2:00 PM in Baltimore on September 26, 2007. The time was measured in hours from midnight as shown in table below.

    t02468101214
    T6865636365768591

Calculation:

Consider the given graph, the time 11:00 a.m. lies in between 10 to 12 on the x-axis. Now, take the corresponding value of y with respect to x as 11, it is find out to be 80 on this graph.

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.1, Problem 22E , additional homework tip  3

Therefore, the temperature at 11:00 a.m. is 80°F in the given graph.

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