can you guys do number two part a and b Page <2> of 2ZOOMf (x, y)= In(x² + 4y²)2.) Determine the set of points at which the function is continuous.1+x?+y²а. F(x,у)1-х2—у2хуif (x, y) # (0,0)b. f(x,y) = {x²+xy+y2if (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 sand t.

Here, to find the set of points at which the function is continous.

Answered: 2.) Determine the set of points at…

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)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 41E

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Question

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.

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