- ху? x? + y? 51. f(x.y) =

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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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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