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2.) Determine the set of points at which the function is continuous. а. F(x,у) — 1+x²+y² 1-x2-у? ху b. f(x, у) %3D x²+xy+y² if (x,y) # (0,0) if (x,y) = (0,0)

2.) Determine the set of points at which the function is continuous. а. F(x,у) — 1+x²+y² 1-x2-у? ху b. f(x, у) %3D x²+xy+y² if (x,y) # (0,0) if (x,y) = (0,0)

College Algebra (MindTap Course List)
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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can you guys do number two part a and b 

Page < 2 > of 2 ZOOM f (x, y) = In(x² + 4y²) 2.) Determine the set of points at which the function is continuous. 1+x?+y² а. F(x,у) 1-х2—у2 ху if (x, y) # (0,0) b. f(x,y) = {x²+xy+y2 if (x,y) = (0,0) 3.) Verify that the conclusion of Clairaut's Theorem holds. u = x*y³ – y* 4.) Find an equation of the tangent plane to the given surface at the specified point. z = /xy, (1,1,1) 5.) Use the chain rule to find dz/ds and dz/ðt. Write your answer exclusively in terms of s and t.
Transcribed Image Text:Page < 2 > of 2 ZOOM f (x, y) = In(x² + 4y²) 2.) Determine the set of points at which the function is continuous. 1+x?+y² а. F(x,у) 1-х2—у2 ху if (x, y) # (0,0) b. f(x,y) = {x²+xy+y2 if (x,y) = (0,0) 3.) Verify that the conclusion of Clairaut's Theorem holds. u = x*y³ – y* 4.) Find an equation of the tangent plane to the given surface at the specified point. z = /xy, (1,1,1) 5.) Use the chain rule to find dz/ds and dz/ðt. Write your answer exclusively in terms of s and t.
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