EX 4: a) Determin the value of A and B for wich the vector field x4 F (X₁y₁z) = Axluze + B By ² z 5 + ( x 4 + y³ ) K is conservative b) Find apotential of it c) Find the work done by F on the intersection of the and x-2y + 2 = 0 planes X+Y-2Z = 0 to (2,2,2). From (1,1,1)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 19E
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EX 4 :
a) Determin the value of
A and B for wich the vector field
F (X<Y,Z)
= Axluz²²² + B By ² 25² + (x4 + y²³) K is conservative.
b) Find apotential of it
c) Find the work done by F on the intersection of the
and X-24 + 2 = 0
From
(560)
planes X+Y-27 =0
40 (2,2,2).
Transcribed Image Text:EX 4 : a) Determin the value of A and B for wich the vector field F (X<Y,Z) = Axluz²²² + B By ² 25² + (x4 + y²³) K is conservative. b) Find apotential of it c) Find the work done by F on the intersection of the and X-24 + 2 = 0 From (560) planes X+Y-27 =0 40 (2,2,2).
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