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A farmer is constructing a rectangular pen by placing a fence on the boundary for dealing with his cattle. He will use a portion of the north side of his 100 feet long barn for one side of the pen and will need to construct a dividing fence perpendicular to the barn to make two enclosures for various purposes. If he has 360 feet of fencing, what are the dimensions (length and width) of the pen which will maximize the total area of the pens? Justify your answer.
What does the spring scale register before the elevator starts to move, during the first 0.800 s, while the elevator is traveling at constant speed and during the time it is slowing down?
Use the substitutions x1=x and x2=x' to rewrite the following second order differential equation as a first order system of differential equation in the variables x1, x2 and t
An Airplane flies 410 miles with wind and 330 against wind in the same lengthof time. If speed of the wind is 20mph, What is the speed of the airplane in still air?
give exact values fractions and square roots for the fallowing problems. please show work so i can understand it
Carl wants to construct three rectangular dog-trainig arenas side-by-side, as shown, using a total of 340 feet of fencing. What should the overall length and width be in order to maximize the area of the three combined arenas?
Using the transformation of coordinates x = (3/8)u - (1/8)v and y =-(1/8)u + (3/8)v, express the integral ∫∫D(24x + 8y )dx dy as an iterated integral in the variables u and v. Do not evaluate the integral.
Thor has dropped his hammer, Mjolnir, into a 1ft x 1ft x 3ft container full of distilled water. If Mjonir has a uniform density of 7.8 g/cm3 and the water level was 1.5 inches lower after Thor summoned Mjolnir back to him.
A company produces very unusual CD's for which the variable cost is $12 per CD and the fixed costs are $25,000. They will sell the CD's for $98 each. Let x be the number of CD's produced.
The Snell law to find the index of refraction
If a design life of 10 yr with a reliability of 0.99 is required, what should the system MTTF and median time to failure be? If each component has a CFR, what will the component MTTF and median time to failure be?
What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function?
If 18000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 8 /carton/week, at what rate is the supply changing?
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