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If anyone could explain step by step how following problem is done, it would be greatly appreciated!
If F(x,y,z)=0 defines implicitly z = f(x,y), then ∂z/∂x = -F_x/F_z and ∂z/∂y = -F_y/F_z.
Find ∂z/∂x and ∂z/∂y as functions of x, y, and z, assuming that z=f(x,y) satisfies the given equation:
x^3 + y^3 + z^3 = xyz
Does anyone know of a good website that would allow me to graph the following functions?
1) y^2 + z^2 = 4
2) x^2 + 9y^2 + 4z^2 = 36
3) 4x^2 + 9y^2 = 36
4) y^2 + z^2 = 4x^2
Thanks in advance!
This problem is confusing me so any help would be appreciated!!!
Determine the largest set of points in the xy-plane where the given function f is continuous.
f(x, y) = tan^-1 (1/(x+y)
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