Vectors forms and partial derivatives?
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Hella rusty folks! I'm trying to see if I can code this as a unsolved math function. Or would it be easier if I solved it on paper and then applied the written out formula?
For a scalar function ρ ( x , y , z ) = z^4 cos ( 3 π x ) and a vector v = ( 3 z , − 2 x , 4 y ) , derive the equation for ∇^2 ⋅ ρ. In your written work, write out the formula fully. Also, include a matlab code that allows you to solve for ∇^2 ⋅ ρ, given any values of [x,y,z]. Here enter the answer for [x=3,y=2,z=1]. Keep 3 sig figs.
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