Mathematics Fundamentals Quiz

Number theory, algebra, geometry, and analysis

The discovery of properties of abstract objects and the use of pure reason to prove them

A succession of applications of deductive rules to already established results

<p>As entities that are stipulated to have certain properties, called axioms</p> Signup and view all the answers

<p>Numbers, formulas, related structures, shapes, spaces, and quantities and their changes</p> Signup and view all the answers

<p>Surface area of a solid object is a measure of the total area that the surface of the object occupies.</p> Signup and view all the answers

<p>The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves.</p> Signup and view all the answers

<p>For polyhedra (i.e., objects with flat polygonal faces), the surface area is the sum of the areas of its faces.</p> Signup and view all the answers

<p>Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces.</p> Signup and view all the answers

<p>The mathematical definition of surface area for curved surfaces is based on methods of infinitesimal calculus and involves partial derivatives and double integration.</p> Signup and view all the answers

<p>(x+y)(x-y)</p> Signup and view all the answers