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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
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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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.
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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We have to find the ∂z∂x at p0.

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