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- ху? x? + y? 51. f(x.y) =

- ху? x? + y? 51. f(x.y) =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.7: Operations On Functions
Problem 63E
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You do not need to solve question 51 to 58, you need to answer question 1 and 2 Assignment( Use Only Two Lines To Write Each Of The Answer) 1. In 12.2,for questions 51-58, to find if limit exists or doesn't exist, we use polar coordinates. Why don't we check over other paths? 2. Is there only one way to find if limit exists or not for multivariable functions? In Exercises 51-56, find the limit of f as (x. y) (0,0) or show that the limit does not exist. x' - xy? x² + y? 52. f(x. y) = cos 51. f(x. y) = x² + y?, y? 53. f(x. y) = x? + y? 2x 54. f(x. y) = 55. f(x, y) = tan- x+ lyl x²+ y? x? - y? x² + y2 56. f(x. y) = In Exercises 57 and 58, define f(0, 0) in a way that extends f to be continuous at the origin. 3x2-x²y² +3y2 x² + y? 2ry? 58. f(x. y) = x² + y? 57. f(x, y) = In
Transcribed Image Text:You do not need to solve question 51 to 58, you need to answer question 1 and 2 Assignment( Use Only Two Lines To Write Each Of The Answer) 1. In 12.2,for questions 51-58, to find if limit exists or doesn't exist, we use polar coordinates. Why don't we check over other paths? 2. Is there only one way to find if limit exists or not for multivariable functions? In Exercises 51-56, find the limit of f as (x. y) (0,0) or show that the limit does not exist. x' - xy? x² + y? 52. f(x. y) = cos 51. f(x. y) = x² + y?, y? 53. f(x. y) = x? + y? 2x 54. f(x. y) = 55. f(x, y) = tan- x+ lyl x²+ y? x? - y? x² + y2 56. f(x. y) = In Exercises 57 and 58, define f(0, 0) in a way that extends f to be continuous at the origin. 3x2-x²y² +3y2 x² + y? 2ry? 58. f(x. y) = x² + y? 57. f(x, y) = In
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