Answered: Consider the function f(x,y,z) =…

Consider the function f(x,y,z) = sqrt(xyz) what is the gradient of F? Determine the directional derivative in f in (3,2,6) towards the vector v = -i-2j+2k

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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Question

Consider the function

f(x,y,z) = sqrt(xyz)

what is the gradient of F?

Determine the directional derivative in f in (3,2,6) towards the vector v = -i-2j+2k

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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