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The cylinder is a clue to use cylindrical coordinates. Taking 
and 
, we then are forced to use 
. So the parameterization of the intersection of the plane and cylinder is
To get the surface, we can introduce a second parameter
that "contracts" the elliptical intersection to a point. The simplest way to do this is to use
with
and 
.
To get the surface, we can introduce a second parameter
with
Answer:
0.18
Step-by-step explanation:
Given that:
P₁ = $10, P₂ = $20
From the tables Q₁ = 900, Q₂ = 800
Using midpoint method:
Percentage change in quantity =
Percentage change in price =
Price of elastic demand = Percentage change in quantity/ Percentage change in price = -11.76% / 66.67% = 0.18
The Price of elastic demand is positive because we took the absolute value and elasticity are always positive
Therefore since Price of elastic demand < 1, the demand is inelastic in this interval.
This means that, along the demand curve between $10 to $20, if the price changes by 1%, the quantity demanded will change by 0.18%. A change in the price will result in a smaller percentage change in the quantity demanded. For example, a 10% increase in the price will result in only a 1.8% decrease in quantity demanded and a 10% decrease in the price will result in only a 1.8% increase in the quantity demanded
