Q28Comprehension1 Mark13 Apr 2025
Passage
Based on the above data, answer the given subquestions. Consider the graph of a scalar-valued function f(x,y) defined on a closed and bounded domain D in . The points on the graph that are closest to and farthest from a fixed point can be found by computing the global extrema of the function defined by computing the square of the distance between and a generic point (x, y, f(x,y)) on the graph. For the given subparts, consider the function f(x,y) = -2 - x^2 - y^2 restricted to the domain D = {(x,y) | x^2 + y^2 <= 1}.
Using the procedure described in the main data, choose the expression for the function that measures the square of the distance between and a generic point on the graph of f.