+y+z) +z

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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Find the gradient field F of the function f.
f(x.y.z) = z sin (x+ y+z)
O A. F= -z cos (x+ y + z)i-z cos (x+ y + z)j+ (sin (x+ y +z) -z cos (x+ y +z))k
O B. F=z cos (x+ y +z)i +z cos (x+ y+z)j + (sin (x+ y + z) +z cos (x+ y +z))k
O C. F= cos xi + cos yj + (sin z+ +zcos z)k
O D. F= - cos xi - cos yj + (sin z-- zcos z)k
Transcribed Image Text:Find the gradient field F of the function f. f(x.y.z) = z sin (x+ y+z) O A. F= -z cos (x+ y + z)i-z cos (x+ y + z)j+ (sin (x+ y +z) -z cos (x+ y +z))k O B. F=z cos (x+ y +z)i +z cos (x+ y+z)j + (sin (x+ y + z) +z cos (x+ y +z))k O C. F= cos xi + cos yj + (sin z+ +zcos z)k O D. F= - cos xi - cos yj + (sin z-- zcos z)k
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