Αποτελέσματα Αναζήτησης
Part 1 presents mathematical formulas together with other material, such as definitions, theorems, graphs, diagrams, etc., essential for proper understanding and application of the formulas.
Area of the curved surface of. cylinder. = 2 π rh , where r is the radius, h is the height. Distance between two points ( x , y ) and ( x 1 1 2 , y 2 ) = d ( x − x ) 2. ( y − y ) 2 1 2 1 2. Coordinates of the midpoint of x.
If n is a positive integer the series terminates and is valid for all x: the term in xr is nCrxr or n r where nC r n! r!(n r)! is the number of different ways in which an unordered sample of r objects can be selected from a set of n objects without replacement. When n is not a positive integer, the series does not terminate: the innite series ...
Algebra Formulas. 1. Set identities. Definitions: I: Universal set A’: Complement. Empty set: ∅. Union of sets. A ∪ B = { x | x ∈ A or x ∈ B } Intersection of sets. A ∩ B = { x | x ∈ A and x ∈ B } Complement. A ′ = { x ∈ I | x ∈ A } Difference of sets. B \ A = { x | x ∈ B and x ∉ A } Cartesian product. × B = { ( x , y ) | x ∈ A and y ∈. }
calculations which involve positive and negative numbers? Are there any rules which help us? We start with some revision — all real numbers are either positive or negative (or, of course, zero). The positive numbers are those greater than zero, and the negative ones are those less than zero.
Indices or Powers. mc-TY-indicespowers-2009-1. A knowledge of powers, or indices as they are often called, is essential for an understanding of most algebraic processes. In this section of text you will learn about powers and rules for manipulating them through a number of worked examples. In order to master the techniques explained here it is ...
has cartesian equation . n. 1. x + n. 2. y + n. 3. z + d = 0 where . d = −. a.n. The plane through non-collinear points A, B and C has vector equation r = a + λ(b − a) + μ(c − a) = (1 − λ − μ)a + λb + μc. The plane through the point with position vector a and parallel to b and c has equation r = a + sb + tc. The perpendicular ...
