Let a and b, respectively, be the absolute minimum and maximum values of the function f(x1,)=x21+x22++x2n within the region x21+2x22+3x23++nx2n≤1. let c be the absolute minimum value of f(x1,) on just the boundary of the region. what is a + b + c ?

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

answer: they are supplementary angles

step-by-step explanation: 161+19=180. supplementary angles equal 180 degrees