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The base of an aquarium with given volume V=465 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials. (Enter your answer in terms of V.)
Determine the total contribution to profit that lies on the objective function (profit line) as it is plotted on the graph if the company produces a combination of cases of Brand X and Brand Y.
Let h(sub n) denote the number of ways to perfectly cover a 1 by n board with monominoes and dominoes in such a way that no two dominoes are consecutive.
There are 12 light bulbs, 5 of which are defective. All bulbs look alike and have an equal probability of being chosen. Three light bulbs are selected and placed on the table.
If A has eight unique elements and B has eight unique elements, how many one-to-one functions would there be? Also, I'd like to know how many there would be if A happened to have less elements than B or if B had less elements than A.
Two boxes of brazils are mathematically similar, their lengths are 12cm and 24cm. The surface area and volume of the smaller box are 250cm2 and 240cm2 respectively.
Use Newton's method to find the coordinates of the inflection point of the curve y = ecos(x),0 ≤ x ≤ π , correct to six decimal places.
A system consists of three subsystems in parallel (assume operating redundancy). The individual subsystem reliabilities are as follows:
A population of animals oscillates sinusoidally between a low of 500 on Janary 1 and a high of 700 on July 1. Graph the population against time. Find a formula for the population P as a function of time, t, measured in months since the start of th..
Always look for a common factor. If there is one, factor out the largest common factor. Use an example to explain how to identify and factor out the largest common factor. (minimum 50 words).
Find a hyperbolic rigid motion that transforms the bowed geodesic from (-4,0) to (2,0) to the bowed geodesic from(10,0) to (20,0)?
A new fashion in clothes is introduced. It spreads slowly through the population at first but then speeds up as more people become aware of it.
so can you let me know if what i have is correct and answer the ones that i dont have a answer to.
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