scan0084 - Problem 5< a What is the gradient of f(x,y,z =...

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Unformatted text preview: Problem 5 / </ , a.) What is the gradient of f(x,y,z) = 7x3y3z3 \_ f, \ f/ I 1;. (timed 1?: SH X??? g g Chev + Sfiifli’Nf 4- 3 Z}? 2 SJ?- »J /% 1/ Wk 1 b.) Is the gradient a vector, scalar, or a number, what does it tell us? [4/{54/6 NM j: 4 {"1} CK 11"ch 1 91f“ \ // I (WEI; 1v; aw are of 31am . \ C\C%3’W MfltfiT‘A c ) What 15 the magnitude of f(x y,z) 1n the direction of the vector. 31 + 6 j + 2k at the point 1‘ (1,1,1) (hint first evaluate the gradient of part “a ’ at the point (1,1,1) then find a unit vector in the required direction, then use the dot product) ...
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