Isoplething-the Analysis of Numerical Fields When looking at a weather map on which temperatures are plotted, it becomes useful to be able to pick out certain temperature patterns easily. That is, which are the warm areas, which are the cold areas, etc. Also, temperatures cannot be known at every point on the map; that is, at every 50 or even 100 or 200 miles, simply because the cost would be enormous. In this case, the concept of isoplething or the analysis of temperature fields becomes useful. For example, say you know the temperatures (°F) at points A, B, C and D below. What would be a reasonable guess of the temperature at E? 55 . "A 56 'B "E 59 °C 58 'D If you were driving your car from A to D, you would experience temperatures of 55°, 56°, 57°, and then 58°. Could you say that the temperature at E is 57°? Is this consistent if you drove from B to C? Here your thermometer would register temperatures of 56°, 57°, 58°, then 59°. Therefore, it is reasonable to assume that the temperature at E is 57°. Problem 1-2 Make a reasonable guess at the temperature (°F) for the points not given. 62. 72. 75. 77. 63. 66. 65. 78. 80. 82.
Isoplething-the Analysis of Numerical Fields When looking at a weather map on which temperatures are plotted, it becomes useful to be able to pick out certain temperature patterns easily. That is, which are the warm areas, which are the cold areas, etc. Also, temperatures cannot be known at every point on the map; that is, at every 50 or even 100 or 200 miles, simply because the cost would be enormous. In this case, the concept of isoplething or the analysis of temperature fields becomes useful. For example, say you know the temperatures (°F) at points A, B, C and D below. What would be a reasonable guess of the temperature at E? 55 . "A 56 'B "E 59 °C 58 'D If you were driving your car from A to D, you would experience temperatures of 55°, 56°, 57°, and then 58°. Could you say that the temperature at E is 57°? Is this consistent if you drove from B to C? Here your thermometer would register temperatures of 56°, 57°, 58°, then 59°. Therefore, it is reasonable to assume that the temperature at E is 57°. Problem 1-2 Make a reasonable guess at the temperature (°F) for the points not given. 62. 72. 75. 77. 63. 66. 65. 78. 80. 82.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
I need solution for problem 1. Please write the value of following points on the image.
Transcribed Image Text:Isoplething-the Analysis of Numerical Fields
When looking at a weather map on which temperatures are plotted, it becomes useful to be able to
pick out certain temperature patterns easily. That is, which are the warm areas, which are the cold areas,
etc. Also, temperatures cannot be known at every point on the map; that is, at every 50 or even 100 or 200
miles, simply because the cost would be enormous. In this case, the concept of isoplething or the analysis
of temperature fields becomes useful.
For example, say you know the temperatures (°F) at points A, B, C and D below. What would be a
reasonable guess of the temperature at E?
55 .
"A
56 'B
"E
59 °C
58 'D
If you were driving your car from A to D, you would experience temperatures of 55°, 56°, 57°, and
then 58°. Could you say that the temperature at E is 57°? Is this consistent if you drove from B to C?
Here your thermometer would register temperatures of 56°, 57°, 58°, then 59°. Therefore, it is reasonable
to assume that the temperature at E is 57°.
Problem 1-2
Make a reasonable guess at the temperature (°F) for the points not given.
62.
72.
75.
77.
63.
66.
65.
78.
80.
82.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
