f-axis 1 The function f, which depends on x and y, is shown on the right as the curved surface common in the three panels. а 2 The total derivative of f is: df - plane where y is fixed dr dy y х-ахis Note that this is the same as: x x+dx y-axis df dx + dy y b f-axis 4 (a) Explain what and are in words 3 and what they correspond to in the figure. (b) What do dr and dy correspond y+dy x-axis dy to in the figure? plane where x is fixed y-axis (c) What are the values of f at positions 2 and 4 in the figure?
f-axis 1 The function f, which depends on x and y, is shown on the right as the curved surface common in the three panels. а 2 The total derivative of f is: df - plane where y is fixed dr dy y х-ахis Note that this is the same as: x x+dx y-axis df dx + dy y b f-axis 4 (a) Explain what and are in words 3 and what they correspond to in the figure. (b) What do dr and dy correspond y+dy x-axis dy to in the figure? plane where x is fixed y-axis (c) What are the values of f at positions 2 and 4 in the figure?
Related questions
Question
I lost the answer key and cannot find it... can you briefly explain these problems?
Transcribed Image Text:f-axis 1
The function f, which depends on x and y, is
shown on the right as the curved surface
common in the three panels.
а
-2
The total derivative of f is:
plane where
y is fixed
dr
dy
y
x-axis
Note that this is the same as:
x x+dx
у-ахis
df
dy
dr +
l ax) y
b
fаxis 4
of
and
(a) Explain what
are in words
3
and what they correspond to in the figure.
y+dy
dy
(b) What do
dr and
dy correspond
x-axis
to in the figure?
y-axis
plane where
x is fixed
(c) What are the values of f at positions 2 and 4
in the figure?
f-axis
(d) What is the value at position 5 in the figure?
(e) When would df
dx +
dy ?
ду,
y
- 5
x x+dx
7dx
x-axis
yrdy,
y+dy2
dy
y-axis
1, 3 are lines
2, 4, 5 are points
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 3 steps with 3 images
