Find the gradient field F of the function f. 7 8 f(x.y,z) =x°e x +y'z O A. F= (5+8x)x*e *i+7y®j+8z°k O B. F= (5+ 8x)x*e ®xi + 7y®z®j + 8y°z°k OC. F= (5+ 8x)x*e Bi+ (x°e x + 7y°z®)j+ (x°e ®x +8y°z°)k 7_7 6 8. 7_7 O D. F= (1+x)x*e *i+y°z°j+y°z'k

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 16P
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Find the gradient field F of the function f.
7_8
f(x,y,z) =x°e x +y'z
O A. F= (5+8x)x*e *i+7y®j+8z°k
O B. F=(5+ 8x)x*e ®x; + 7y®z®j + 8y°z°k
O C. F= (5+8x)xe i+ (x°e ®X +7y°z*)j+ (x°e X +8y'z')k
7_7
O D. F= (1+x)x*e Xi+y°z°j+y' z'k
6 8,
Transcribed Image Text:Find the gradient field F of the function f. 7_8 f(x,y,z) =x°e x +y'z O A. F= (5+8x)x*e *i+7y®j+8z°k O B. F=(5+ 8x)x*e ®x; + 7y®z®j + 8y°z°k O C. F= (5+8x)xe i+ (x°e ®X +7y°z*)j+ (x°e X +8y'z')k 7_7 O D. F= (1+x)x*e Xi+y°z°j+y' z'k 6 8,
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