find xy+(z^3)x-2yz=0 in terms of z

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find xy+(z^3)x-2yz=0 in terms of z

Mathematics
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whts in terms of z mean?
the answer should be z= f(x,y). so i am asking what f(x,y) is
x.z^3 -2yz = -xy

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Other answers:

z(-2y +x.z^2) = -xy -2y +x.z^2 - -xy/z
It's complicated to solve for z.
yeah its a cubic eqn in z
Could you write the original question, if it is not this?
-2y +x.z^2 = -xy/z x.z^2 = (-xy+2yz)/z z^3 = (-xy+2yz)/x
i am supposed to find dz/dx at the point (1,1,1) of that equation
then say that
spo i assumed i needed z as a function of x and y
you dont need to solve for z then...
u dont need to..i think not
dz/dx = g(F).d(xbar)/dx
ok, sorry about tha
You don't have to solve for z.
bt then how to do it???
get the gradient vector but partialling the equation of the plane there
get the gradient vector but partialling the equation of the plane there
F= a = dz/dx...but not that dz/dx...the funny looking one lol
then do df/dx / df/dz?
plug in the values from your point know to get the gradianet vector
<2,-1,1> is your normal vector/gradient..
oh ok, i got the gradient vector, then plug in the point (1,1,1) to df/dx to get the answer?
dot product that with the vecotr that is the point...<1,1,1>
i got <2, -1, 1> yes
2(x-1)-1(y-1)+1(z-1) = dz/dx i think :)
is it right??
is that the plane equation?
i dont have the answer
that is the plane equation
doesnt the gradient vector give ... in that case we can simply do df/dx / df/dz???
the answer isnt an equation...its a value
him; dunno havent read that far yet :)
thats wht m sayin
is the answer 2???
the answer would be 2 then right?
gradient . point
i think so! thanks!
is it 2??
i dont know the value, but it seems right
u understood how it ws done?
i dont think I evenknow how it was done lol
I got -2.
yes, get the gradient, and plug in the x,y and z valuse of the point into the gradient and divide df/dx by df/dz to get dz/dx right?
Not entirely sure though.
i thnk it shld be right..there might b calculation errors bt b surev f d method
<2,-1,1> <1, 1,1> --------- 2 -1 +1 = 2
so i said
david wht grade u in?
im a sophomore in college. im studying for my calc 3 final

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