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A carpenter is building a rectangular room with a fixed perimeter of 92 ft. What dimensions would yield the maximum area? What is the maximum area?
Find a conformal mapping which maps the upper half plane Im(z)>0 to |w| 0.
We will take steps to find the tangent line to the graph of f at the general point (x,f(x)), and use it to find a tangent line with a specific property.
Evaluate the speed of the cyclist algebraically and Find the height of the ball drop and the time taken to reach the ground.
Sally has 5 red flags, 6 green flags, and 5 white flags. How many 16-flag signals can she run up a flag pole?
Estimate the minimum sample size needed to estimate the population mean with the stated accuracy. Show all work.
A ski chalet roof is isosceles triangle and has a vertical angle of 36 degrees. Width of base is 14 m. What is the slant height of roof?
Let m and n be positive integers with n dividing m. Prove that the natural surjective ring projection Z/mZ ->Z/nZ is also surjective on the units:(Z/mZ)^x ->(Z/nZ)^x
Find the continuous-compounding nominal interest rate per annum (r) that is equivalent to a discrete-compounding interest (i) of:
Excel Solver-maximize annual passenger-carrying capability, An airline owns an aging fleet of jet airplanes. It is considering a major purchase of up to 17 new model 7a7 and 7b7 jets. The decision must take into account numerous cost and capabilit..
Billy likes to go cycling. His bike has wheels of a diameter 75. He has invented a counter for his bike, which counts the revolutions the wheel makes. One day the counter shows 370 revolutions. How far has billy cycled?
A manufacture has been selling 1950 television sets a week at $480 each. A market survey indicates that for each $10 rebate offered to a buyer, the number of sets sold will increase by 100 per week.
assume that all doors produced can be sold for a profit of $500 and all windows can be sold for a profit of $400. Formulate an LP model for this problem. sketch the feasible region. what is the optimal solution?
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