Question 1 Let f (x, y, z) = In (1+ x³ + y4 + 25) 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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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ANSWER QUESTION 2.

Question 1
Let
f (x, y, z) = In (1+ x* + y* + 2°)
Find an equation for the tangent plane to the surface f (x, y, z)
point Po (1, –1, –1). Also find an equation of the normal line to the surface
at this point.
In 2 at the
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).
Transcribed Image Text:Question 1 Let f (x, y, z) = In (1+ x* + y* + 2°) Find an equation for the tangent plane to the surface f (x, y, z) point Po (1, –1, –1). Also find an equation of the normal line to the surface at this point. In 2 at the 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).
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