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An asymptote is a line that a curve approaches, getting closer and closer, but does not cross. Some definitions state that the curve may cross, but may not cross an infinite number of times.
In the case of a rectangular hyperbole, the asymptotes are parallel or equal to the X and Y axes.
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Define asymotote and explain the relationship between a hyperbola and its asymptotes?
An asymptote of a curve is a line where the distance of the curve and line approach zero as they tend to infinity (they get closer and closer without ever meeting) If one zooms out of a hyperbola, the straight lines are usually asymptotes as they get closer and closer to a specific point, yet do not reach that point.
What are the followings-hyberbola-asymptotes of hyperbola-centre of hyperbola-conjugated diameter of hyperbola-diameter of hyperbola-directrices of hyperbola-eccentricity of hyperbola?
Asymptotes are the guidelines that a hyperbola follows. They form an X and the hyperbola always gets closer to them but never touches them. If the transverse axis of your hyperbola is horizontal, the slopes of your asymptotes are + or - b/a. If the transverse axis is vertical, the slopes are + or - a/b. The center of a hyperbola is (h,k). I don't know what the rest of your questions are, though.
The horizontal asymptote for exponential function is?
The graph of an exponential function f(x) = bx approaches, but does not cross the x-axis. The x-axis is a horizontal asymptote.
What is the meaning of asymptote?
An asymptote is the tendency of a function to approach infinity as one of its variable takes certain values. For example, the function y = ex has a horizontal asymptote at y = 0 because when x takes extremely big, negative values, y approaches a fixed value : 0. Asymptotes are related to limits.
How can you know if a graph represents a proportional relationship?
It is a relationship of direct proportion if and only if the graph is a straight line which passes through the origin. It is an inverse proportional relationship if the graph is a rectangular hyperbola. A typical example of an inverse proportions is the relationship between speed and the time taken for a journey.
What is the definition and equation of rectangular hyperbola?
Defn: A hyperbola is said to be a rectangular hyperbola if its asymptotes are at right angles. Std Eqn: The standard rectangular hyperbola xy = c2
What is the imaginary line called that hyperbola never crosses?
The Asymptote
Equation of the evolute for rectangular hyperbola xy equals cc is?
fsedfsg
When demand curve is rectangular Hyperbola the elasticity of demand will be?
Unitary Elactic
What is a point that helps define an ellipse parabola and hyperbola?
focus
Why does unitary elastic demand curve is a rectangular hyperbola?
we know from total expenditure method of measuring elasticity of demand that if total expenditure remains the same when price changes, elasticity is unitary. rectangular hyperbola is a curve under which all rectangular areas are equal. also, each rectangular area shows total expenditure on the commodity. along the curve, even if price changes, total expenditure remains the same, so rectangular hyperbola shows the elasticity of 1.
Why average fixed cost is a rectangular hyperbola curve?
AFC = (TFC/ Q). It looks like a hyperbola because fixed cost is spread over a larger range of output
Define asymotote and explain the relationship between a hyperbola and its asymptotes?
An asymptote of a curve is a line where the distance of the curve and line approach zero as they tend to infinity (they get closer and closer without ever meeting) If one zooms out of a hyperbola, the straight lines are usually asymptotes as they get closer and closer to a specific point, yet do not reach that point.
What are the Properties of rectangular hyperbola?
A rectangular hyperbola is a specific type of hyperbola where the transverse and conjugate axes are equal in length, making it symmetrical about both axes. Its standard equation is (xy = c^2), where (c) is a constant. Key properties include that its asymptotes are perpendicular to each other, and it has a unique feature of having equal distances from the center to the vertices along the axes. Additionally, the slopes of the tangent lines at any point on the hyperbola are negative reciprocals of each other, reflecting its symmetry.
Does a hyperbola have coverticies?
Yes, a hyperbola has co-vertices, but they are not as commonly referenced as in ellipses. The co-vertices of a hyperbola are points that lie along the transverse axis and are used to define the shape of the hyperbola. Specifically, for a hyperbola centered at the origin with a horizontal transverse axis, the co-vertices are located at ((0, \pm b)), where (b) is the distance from the center to the co-vertices. However, these points do not play a significant role in the hyperbola's properties compared to the vertices and foci.
How do you know if a graph is proportional?
It is a graph of a proportional relationship if it is either: a straight lie through the origin, ora rectangular hyperbola.
What is the focus of a hyperbola?
The foci (plural of focus, pronounced foh-sigh) are the two points that define a hyperbola: the figure is defined as the set of all points that is a fixed difference of distances from the two points, or foci.
