Question 2 Let f be as in Question 1. Estimate the change in f if we move 0.2 away from Po in the direction v = (-1, -2,2). Question 3 Let f be the function in Question 1. Assume now that f (x, y, z) = In 2 dz defines z implicitly as a function of x, y. Compute at Po.
Question 2 Let f be as in Question 1. Estimate the change in f if we move 0.2 away from Po in the direction v = (-1, -2,2). Question 3 Let f be the function in Question 1. Assume now that f (x, y, z) = In 2 dz defines z implicitly as a function of x, y. Compute at Po.
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
ANSWER QUESTION 3
![Question 1
Let
f (x, y, z) = ln (1+x* + y* + z°)
Find an equation for the tangent plane to the surface f (x, y, z) = ln 2 at the
point Po (1, –1, –1). Also find an equation of the normal line to the surface
at this point.
Question 2
Let f be as in Question 1. Estimate the change in f if we move 0.2 units
away from Po in the direction
v = (
-1, -2, 2).
|
Question 3
Let f be the function in Question 1. Assume now that
f (x, y, z) = In 2
dz
defines z implicitly as a function of x, y. Compute at Po.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d1ae07f-bdb5-47a8-9afa-ea5a04bdf9c8%2F9f216a84-7c3b-43e1-a5c1-9ded1c8857cd%2Fvqxntws_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 1
Let
f (x, y, z) = ln (1+x* + y* + z°)
Find an equation for the tangent plane to the surface f (x, y, z) = ln 2 at the
point Po (1, –1, –1). Also find an equation of the normal line to the surface
at this point.
Question 2
Let f be as in Question 1. Estimate the change in f if we move 0.2 units
away from Po in the direction
v = (
-1, -2, 2).
|
Question 3
Let f be the function in Question 1. Assume now that
f (x, y, z) = In 2
dz
defines z implicitly as a function of x, y. Compute at Po.
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