A cone C, with height 1 and radius 1, has its base inthe xz-plane and its vertex on the positive y-axis. Find afunction g(x, y, z) such that C is part of the level surface g(x, y, z)=0. [Hint: The graph of f(x, y) =x2 + y2 is a cone which opens up and has vertex atthe origin.]

Nationalism has participated in a very important part of why the current events occur in today’s society. Nationalism is defined as the love and loyalty to a nation and it is widely believed to be the cauldron from which wars often spring. Nationalism is seen as the most powerful political force in today’s world as it is known to be a set of beliefs of a particular idea that inspires people...