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An aquarium has a slate bottom that costs 8 cents/sq inch and glass sides which cost 1 cent/sq inch. The aquarium is to have a volume of 1024 cubic inches. Find the dimensions of the least expensive aquarium. Use the Lagrange multipliers.
What is the approximate probability that the blood test will be positive and so at least one person has the disease? Suppose that the blood test yields a positive result.
A recipe uses two eggs, three cups of flour & some other ingredients. The recipe makes enough batter for 6 servings. How many cups of flour will be needed to make enough batter for ten servings?
Could you clarify what constitutes a spanning set and a basis? Also how does one test to see if a set of vectors is a spanning set and if it is a basis?
Given the following probability distribution for asset Y, compute the expected rate of return, variance, standard deviation, and coefficient of variation for the assets.
Integral from zero to infinity of cos(x^2) dx = integral from zero to infinity of sin(x^2) dx = 1/2 * (square root of pi/2).
Sampling Distribution and Sample Mean : Probability, The shelf life of a digital storage device is normally distributed with mean 10 years and standard deviation 2 years. Suppose you are a quality assurance manager and wish to verify this statisti..
Now choose a linear inequality of the form 5y 2x - 8. What are the major differences between the linear equation graph and the linear inequality graph?
A rect. prism has a length of (l), a width of (w), and a height of 1. Volume of the rect prism is 24cm3. Use your knowledge of volume and surface area to derive a function F(W) that represents the surface area of the rect. prism in terms of its wi..
Poker, in the deck 52 cards, hand of 5 cards, one of the winning hands is flush, all cards belong to a common suit. A) Calculate the number of possible combinations of poker hands B) Calculate a probabilty of flush
Describe specifically how you will use the technology to create the computer-based simulation model.
Check that N(t) = t/(1 +ct) is a solution of the differential equation dN/dt = N^2/t^2. Treat c as an unspecified constant.
Let G be an open subset of C ( complex plane) and let P be a polygon in G from a to b. Use the following 2 theorems to show that there is a polygon Q in G from a to b which is composed of line segments which are parallel to either the real or imag..
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