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1. Given: f(x, y) = y a. Find and sketch the domain of the given function b. Find and sketch the level curve that passes through (2,-2) c. Find and sketch the gradient at (2,-2)

1. Given: f(x, y) = y a. Find and sketch the domain of the given function b. Find and sketch the level curve that passes through (2,-2) c. Find and sketch the gradient at (2,-2)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 43E
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1. Given: f(x, y) = y a. Find and sketch the domain of the given function b. Find and sketch the level curve that passes through (2,-2) c. Find and sketch the gradient at (2,-2) d. Find Duf (2,-2) in the direction of a = 4i - 2j e. Find the equation of the tangent plane to given surface at (2,-2) f. Determine the points on the surface at which the tangent plane is perpenciluar x = 1 + 2t the line: y = 2+t z = 4-t
Transcribed Image Text:1. Given: f(x, y) = y a. Find and sketch the domain of the given function b. Find and sketch the level curve that passes through (2,-2) c. Find and sketch the gradient at (2,-2) d. Find Duf (2,-2) in the direction of a = 4i - 2j e. Find the equation of the tangent plane to given surface at (2,-2) f. Determine the points on the surface at which the tangent plane is perpenciluar x = 1 + 2t the line: y = 2+t z = 4-t
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