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The four quadrants of a Cartesian coordinate system. The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes. The axes themselves are, in general, not part of the respective quadrants.
The quadrants may be named or numbered in various ways, but the quadrant where all coordinates are positive is usually called the first quadrant. If the coordinates of a point are ( x , y ) , then its distances from the X -axis and from the Y -axis are | y | and | x |, respectively; where | · | denotes the absolute value of a number.
Given a function: from a set X (the domain) to a set Y (the codomain), the graph of the function is the set [4] = {(, ()):}, which is a subset of the Cartesian product.In the definition of a function in terms of set theory, it is common to identify a function with its graph, although, formally, a function is formed by the triple consisting of its domain, its codomain and its graph.
The slope field can be defined for the following type of differential equations ′ = (,), which can be interpreted geometrically as giving the slope of the tangent to the graph of the differential equation's solution (integral curve) at each point (x, y) as a function of the point coordinates.
Solving for y leads to the explicit form =, which imply that every real point satisfies x ≥ 0. The exponent explains the term semicubical parabola. (A parabola can be described by the equation y = ax 2.) Solving the implicit equation for x yields a second explicit form
Cold and flu season always comes around when the weather starts to change. But does cold, wet weather actually make you sick?Not really, experts say. But cooler temperatures and dry winter air can ...
Dolly Parton is getting ready for the holidays!. Speaking to guest host Jessie James Decker on TalkShopLive, released Thursday, Dec. 13, the country legend, 78, revealed that she loves to dress up ...
Illustration of a plane, showing the absolute values (unsigned dotted line lengths) of the coordinates of the points (2, 3), (0, 0), (−3, 1), and (−1.5, −2.5). The first of these signed ordered pairs is the abscissa of the corresponding point, and the second value is its ordinate.