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5. Using the above inequality, and note that for any point A(x, y), B(a, b) = R², we have ||A – B|| = ||(x, y) — (a,b)|| = √√(x − a)² + (y − b)², prove that ln(1 + x² + y²), sin x + cos y, e-2²-y² are Lipschitz functions. е

5. Using the above inequality, and note that for any point A(x, y), B(a, b) = R², we have ||A – B|| = ||(x, y) — (a,b)|| = √√(x − a)² + (y − b)², prove that ln(1 + x² + y²), sin x + cos y, e-2²-y² are Lipschitz functions. е

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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5. Using the above inequality, and note that for any point A(x, y), B(a, b) = R², we have ||A – B|| = || (x, y) — (a, b)|| : = √(x a)² + (y - b)², are Lipschitz functions. prove that ln(1 + x² + y²), sin x + cos y, e -r²-y²
Transcribed Image Text:5. Using the above inequality, and note that for any point A(x, y), B(a, b) = R², we have ||A – B|| = || (x, y) — (a, b)|| : = √(x a)² + (y - b)², are Lipschitz functions. prove that ln(1 + x² + y²), sin x + cos y, e -r²-y²
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