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The demand function for a product is given by p= -0.01x^2 - 0.1x + 6 where p is unit price and x is the number in thousands.
Find the elasticity of demand, E.
Find elasticity of demand when x=10. Is this elastic, inelastic or have unit elasticity?
a metal storage tank with volume 9 pi ft^3 is to be constructed in the shape of a right circular cylinder surmounted on the top by a hemisphere. what dimensions will require the least amount of material.
Let A be a positive definite matrix. Show that X has a unique positive square root. That is, show that there exists a unique positive matrix X such that X^2 =A.
Let G be an abelian group such that the operation on G is denoted additively. Show that {a is an element of G| 2a = 0} is a subgroup of G.
If f is an automorphism of S_3, prove that there exists a sigma in S_3 such that f(tau)
You are the process improvement manager and have developed a new machine to cut insoles for the company's top-of-the-line running shoes.
Find the probability of getting less than six correct answers.
An experimental test to detect a particular type of cancer indicates the presence of cancer in 90% of individuals known to have this type of cancer, and in 15% of individuals known to be cancer-free (false positive)
Find the expected value and standard deviation of your prospective winnings.
Let m'(A) = inf sum of |M_i| where i is from 1 to infinity, such that A is a subset of M_i. M_i's are disjoint.
The half-life of a certain radioactive material is 75 days. An initial amount of the material has a mass of 381 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 15 days. Rou..
The probability that a house in an urban area will be burglarized is 5%. If 50 houses are randomly selected, what is the probability that one of the houses will be burglarized?
What is the arc length of a sector a circle with a central angle of π/7 radians and a radius of 12 inches? Round answer, 2 de. Places.
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