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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.
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When demand curve is rectangular Hyperbola the elasticity of demand will be?
Unitary Elactic
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
What is rectangular hyperbola demand curve?
This is the curve which shows the unitary elastic demand where the change in quantity demanded equals with the change in price.
Given the demand curve that is a rectangular hyperbola with a demand function of the form Q equals 1 over P Show that the point of elestacity will be unitary throughout the demand curve?
Assuming that the given demand curve is a rectangular hyperbola, total expenditure (i.e. rectangular area or Q*P) is the same for each point on the length of the curve. Next we use the demand function to determine the total expenditure value as Q=1/P=>Q*P=1, and we have consequently a demand curve of unitary elasticity.
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
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
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.
What will be eccentricity of hyperbola if xy equals 2?
The equation ( xy = 2 ) represents a rectangular hyperbola. The standard form of a hyperbola can be expressed as ( \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 ) or its variants, where the eccentricity ( e ) is given by ( e = \sqrt{1 + \frac{b^2}{a^2}} ). For a rectangular hyperbola, ( a = b ), leading to an eccentricity of ( e = \sqrt{2} ). Thus, the eccentricity of the hyperbola defined by ( xy = 2 ) is ( \sqrt{2} ).
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
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.
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.
What is rectangular hyperbola demand curve?
This is the curve which shows the unitary elastic demand where the change in quantity demanded equals with the change in price.
Is the line automatically nonproportional if it doesnt pass through the origin'?
No. The rectangular hyperbola does not pass through the origin but it represents inverse proportionality.
Which properties describe a rectangular prism?
The two characteristics "hexahedron" and "rectangular faces" are sufficient.
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.
