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Using U.S. Census Bureau data since 1870, the average number of acres per U.S. farm can be modeled with the function
A(t) = -0.000377t3 + 0.1021t2 - 4.731t + 174.3
where t is the number of years past 1870.
(a) Find the years when the model has a relative maximum and a relative minimum.
(b) What changes in our society and in the economy during the last half of the 20th century have caused A(t) to increase then?
Determine the allowable axial compressive load for a structural steel W14×132 column. The ends are pin-connected and the length is 20 ft.
A 2-in.-diameter standard-weight steel pipe is used as an axially loaded column. Calculate the allowable axial compressive load using Euler's formula.
A piece of wood is 0.600 m long, 0.250 m wide and 0.080 m thick. Its density is 600 kg/m3. What volume of lead must be fastened underneath it to sink the wood in calm water so that its top is just even with the water level? What is the mass of thi..
Develop and solve a linear optimization model to determine the optimal mix to maximize profit and write a short memo to the president Kathy Chung explaining the sensitivity information in language that she can understand.
Candid Camera Company manufactures three lines of cameras: the Cub, the Quickiematic and the VIP. Formulate this scheduling problem as a linear program that maximizes contribution.
Byers and Williams ("Viscosities of Binary and Ternary Mixtures of Polynomatic Hydrocarbons," Journal of Chemical and Engineering Data, 32, 349-354, 1987).
From the data for the five U.S. cities that follow, construct a line graph that shows the relationship between elevation above sea level and mean January.
Part 2: In this part we will again be multiplying two functions and calculating the Fourier Transform of the product. The first function is y1(t) = cos(20πt).
Age and party. The Gallup Poll conducted a representative telephone survey of 1180 American voters during the first quarter of 2007.
The manufacturer reported that for a sample of 50 heartburn sufferers, the mean time to relief was 3.3 minutes and the standard deviation was 1.1 minutes. Calculate the appropriate test statistic to test the hypotheses. Statistics and Probability
The winner of a state lottery will receive $5,000 per week for the rest of her life. If the winner's interest rate is 6.5% per year compounded weekly.
Evaluate the Fourier series expansion of each of the periodic functions shown in Fig.
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