Let $h ( x , y ) = x ^ { 3 } + y ^ { 3 } + 9 x y + 6$

question 72

Short Answer

Let $h ( x , y ) = x ^ { 3 } + y ^ { 3 } + 9 x y + 6$ Determine all local maxima, minima, and saddle points.Are the local extrema also global extrema?

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Definitions:

Soviet Union

A former federation of communist republics in eastern Europe and northern Asia, existing from 1922 to 1991, officially known as the Union of Soviet Socialist Republics (USSR).

Truman-Molotov Meeting

A significant diplomatic encounter between U.S. President Harry S. Truman and Soviet Foreign Minister Vyacheslav Molotov in April 1945, which marked the beginning of tensions leading to the Cold War.

International Diplomacy

The practice of negotiation and dialogue between countries, conducted by diplomats and political leaders, to manage international relations and resolve conflicts.

Soviet Union

A former federal socialist state in Eastern Europe and Asia, existing from 1922 to 1991, officially known as the Union of Soviet Socialist Republics (USSR), and a principal participant in the Cold War.