Pythagorean Theorem
Subject:
a^2 + b^2 = c^2
c being the hypotenuse, and a & b being the two other sides of the triangle.
Mathematics
Polynomials
Subject:
By now, you should be familiar with variables and exponents, and you may have dealt with expressions like 3x4 or 6x. Polynomials are sums of these "variables and exponents" expressions. Each piece of the polynomial, each part that is being added, is called a "term". Polynomial terms have variables which are raised to whole-number exponents (or else the terms are just plain numbers); there are no square roots of variables, no fractional powers, and no variables in the denominator of any fractions. Here are some examples:Notice the exponents on the terms. The first term has an exponent of 2; the second term has an "understood" exponent of 1; and the last term doesn't have any variable at all.
First derivatives
Subject:
The first derivative of a function can tell a lot about how the original function looks. The first derivative tells us the critical numbers, and when the original function is increasing or decreasing.
Finding the critical numbers of a function is easy. You have a critical number anytime the derivative function equals 0, or if it does not exist. Critical numbers in the derivative usually tell us that there is a minimum, maximum, or a vertical asymptote. However, it does not guarantee a min/max.
Trig. Function Derivatives: sine, cosine, and tangent.
Subject:
The derivatives of the basic trig. functions are as follows:
f(x)=sin(x) / f`(x)=cos(x)
f(x)=cos(x) / f`(x)=-sin(x)
f(x)=tan(x) / f`(x)=sec^2(x)
Triangle Properties
Subject:
Triangle properties
Vertex The vertex (plural: vertices) is a corner of the triangle. Every triangle has three vertices.
Base The base of a triangle can be any one of the three sides, usually the one drawn at the bottom. You can pick any side you like to be the base. Commonly used as a reference side for calculating the area of the triangle. In an isosceles triangle, the base is usually taken to be the unequal side.
Altitude The altitude of a triangle is the perpendicular from the base to the opposite vertex. (The base may need to be extended). Since there are three possible bases, there are also three possible altitudes. The three altitudes intersect at a single point, called the orthocenter of the triangle. See Orthocenter of a Triangle.
algabra info
Subject:
Tags:
Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Together with geometry, analysis, topology, combinatorics, and number theory, algebra is one of the main branches of pure mathematics.
Multiplication
Subject:
Simple Rules of Multiplication:
a*b = ab
-a * -b = ab
-a * b = -ab
Multiplication
Subject:
Simple Rules of Multiplication:
a*b = ab
-a * -b = ab
-a * b = -ab
pythagorean theorem
Subject:
a^2+b^2=c^2
Pythagorean Theorem
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