No. The rectangular hyperbola does not pass through the origin but it represents inverse proportionality.
If a hyperbola is vertical, the asymptotes have a slope of m = +- a/b. If a hyperbola is horizontal, the asymptotes have a slope of m = +- b/a.
denominators
denominators
You cannot solve this single equation. You can either change the subject so that it gives x = 12/y or xy = 12, which is the equation of a rectangular hyperbola.
AFC = (TFC/ Q). It looks like a hyperbola because fixed cost is spread over a larger range of output
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
Unitary Elactic
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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.
It is a graph of a proportional relationship if it is either: a straight lie through the origin, ora rectangular hyperbola.
This is the curve which shows the unitary elastic demand where the change in quantity demanded equals with the change in price.
No. The rectangular hyperbola does not pass through the origin but it represents inverse proportionality.
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.
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.
The width reduces as the length increases. The changes shape of the curve is a part of a [rectangular] hyperbola.
Two foci's are found on a hyperbola graph.