(a) Consider the function x² + y² – 2² f(x, Y, z) = = arctan 1- z +1 Determine the domain and range of f. (b) Suppose we have a function z(x, y) defined implicitly near the point (1,0, 1) via the equa- tion x³y +y°z+ z°x = 0. Find (1,0). Əxðy

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(a) Consider the function
x2 + y? – 22
f (x, y, z) = arctan
z + 1
Determine the domain and range of f.
(b) Suppose we have a function z(x, y) defined implicitly near the point (1, 0, 1) via the equa-
tion
x³y + y°z+ z°x = 0.
%3D
Find
(1,0).
dxðy
Transcribed Image Text:(a) Consider the function x2 + y? – 22 f (x, y, z) = arctan z + 1 Determine the domain and range of f. (b) Suppose we have a function z(x, y) defined implicitly near the point (1, 0, 1) via the equa- tion x³y + y°z+ z°x = 0. %3D Find (1,0). dxðy
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