In what direction from the point (1,-1) is the instantaneous rate of change of 22 f(x,y) = 3x* – 10xy - 10y° equal – 10? %3! There are two unit vectors : u = (0,1) , and v = %3D
In what direction from the point (1,-1) is the instantaneous rate of change of 22 f(x,y) = 3x* – 10xy - 10y° equal – 10? %3! There are two unit vectors : u = (0,1) , and v = %3D
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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First Image is the question, 2nd image is the example. Please I need the question solved in that method
![11. In what direction from the point (1,–1) is the instantaneous rate of change of the function
f (x, y) = 2x² + 2xy – 3y² is equal to 2?
z x*+ 2 xy - 3 y, P
Lix, y) =
4 x + 29,
%3D
マf(P)
(*ッリ=(L-リ
(2, 8)
let
the
ů = a ?, b} = la, b} be
directhcin where ra fe
a uni t vectoo
ļ changeis
%3D
-*.
1
%3D
Now,
R fus
(2, 8). (a, bJ
Knww
1
(2)
left us
solre
sysfem
11,(2) f.- a, andb:
a
= |-4b
Substifufon a -1-4 b in fo
a -/- 4
in fe (2, we set
/ - s b + 16b4
1 7 b²- 8b
bU7b -
Case 1 :
thom
1- 4 b = 1- 4(0 = 1
(a」ら)
Casc ? :
= /- 4L
= /- 4 -
17
/ネ
アネ
ū =(a,b)
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F008f31aa-ffde-472d-81b9-49fb75f4a0c2%2F8e6626a0-c4c2-4764-b627-5494ef32ffd7%2Filn6bq_processed.png&w=3840&q=75)
Transcribed Image Text:11. In what direction from the point (1,–1) is the instantaneous rate of change of the function
f (x, y) = 2x² + 2xy – 3y² is equal to 2?
z x*+ 2 xy - 3 y, P
Lix, y) =
4 x + 29,
%3D
マf(P)
(*ッリ=(L-リ
(2, 8)
let
the
ů = a ?, b} = la, b} be
directhcin where ra fe
a uni t vectoo
ļ changeis
%3D
-*.
1
%3D
Now,
R fus
(2, 8). (a, bJ
Knww
1
(2)
left us
solre
sysfem
11,(2) f.- a, andb:
a
= |-4b
Substifufon a -1-4 b in fo
a -/- 4
in fe (2, we set
/ - s b + 16b4
1 7 b²- 8b
bU7b -
Case 1 :
thom
1- 4 b = 1- 4(0 = 1
(a」ら)
Casc ? :
= /- 4L
= /- 4 -
17
/ネ
アネ
ū =(a,b)
%3D
![In what direction from the point (1,-1) is the instantaneous rate of change of
f(x,y) = 3x* - 10x´y – 10y° equal – 10?
There are two unit vectors : u = (0,1) , and v = ( ,)
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F008f31aa-ffde-472d-81b9-49fb75f4a0c2%2F8e6626a0-c4c2-4764-b627-5494ef32ffd7%2Fy9w0nba_processed.png&w=3840&q=75)
Transcribed Image Text:In what direction from the point (1,-1) is the instantaneous rate of change of
f(x,y) = 3x* - 10x´y – 10y° equal – 10?
There are two unit vectors : u = (0,1) , and v = ( ,)
%3D
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