(a) the function g is defined by g(x, y) = 3+x^3 ? x^2 ? y^2. its domain d is given by x^2 + y^2 ? 1 and x ? 0. sketch the domain d in the xy-plane.
(b) find the stationary points of the function g, and classify them.
(c) find the (global) extreme points of g in d.
hint: the couples (x, y) that satisfy the equation x^2 + y^2 = 1 are located on a circle with radius 1 and center at the point (0,0).

i believe that is true.

step-by-step explanation:

hope my answer has you if not i'm sorry.

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step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

answer: what are the answer choices?

step-by-step explanation: