Show that the vector field 1 F(x, y, z) = (- :)= (-2: 25³ sinh (2y − 1) - x²y is conservative by finding all its potential functions. 1 32² cosh (2y - 1) - 5* In 5 1)- 5¹ mm 5)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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6.
Show that the vector field
(-25"sinh
is conservative by finding all its potential functions.
F(x, y, z) = (-
22³ sinh (2y - 1)
1
xy²¹
32² cosh (2y - 1) - 5* In 5
- 1) - 5² In 5)
6
Transcribed Image Text:6. Show that the vector field (-25"sinh is conservative by finding all its potential functions. F(x, y, z) = (- 22³ sinh (2y - 1) 1 xy²¹ 32² cosh (2y - 1) - 5* In 5 - 1) - 5² In 5) 6
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