The table gives f(x, y) at different points; use this information to appro y/x- 0.0 0.5 1.0 2.0 4.2 3.7 1.6 3.0 6.7 4.2 3.1 4.0 7.2 7.9 8.6 iii) From (0.5, 3.0), in which direction does the gradient vector point? Does that seem to agree with the data in your table? Why/why not? a. i) f(0.5, 3.0) ii) f,(0.5, 3.0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
6a
The table gives f(x, y) at different points; use this information to approximate
y/x- 0.0 0.5 1.0
2.0
4.2 3.7 1.6
6.7 4.2 3.1
a. i) f(0.5, 3.0) ii) f,(0.5, 3.0)
3.0
4.0
7.2 7.9 8.6
iii) From (0.5, 3.0), in which direction does the gradient vector point? Does that seem to agree with the
data in your table? Why/why not?
If Tir Y) gives the temperature in °C at a point (x, y, z), measured in feet from the center of the room,
diant of mis
Transcribed Image Text:The table gives f(x, y) at different points; use this information to approximate y/x- 0.0 0.5 1.0 2.0 4.2 3.7 1.6 6.7 4.2 3.1 a. i) f(0.5, 3.0) ii) f,(0.5, 3.0) 3.0 4.0 7.2 7.9 8.6 iii) From (0.5, 3.0), in which direction does the gradient vector point? Does that seem to agree with the data in your table? Why/why not? If Tir Y) gives the temperature in °C at a point (x, y, z), measured in feet from the center of the room, diant of mis
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