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L.F. Richardson proposed a model to describe the spread of war fever. † His proposal: if y = f(t) is the percent of the population advocating war at time t, then the rate of change of f(t) at any time is proportional to the product of the percentage of the population advocating war and the percentage not advocating war. Set up a differential equation that is satisfied by y = f(t). (Note: Use k for the constant of proportionality.)
The minute hand on a watch is 5 mm long and the hour hand is 4 mm long. How fast is the distance between the tips of the hands changing at one o'clock? (Round your answer to one decimal place.)
The J.P. Atkins Company will soon be introducing a new product. Estimates have been made of the monthly profit that would be generated by this product for each of four alternative values of the monthly production rate, as shown below.
Evaluate the Area of under one arch of a cycloid using its integration
(Round the number that you compute and use to the nearest whole number.) According to the model, what will the enrollment be in the year 2025?
The density of the pyramid is uniform in cross-sections parallel to the base, and density (in g/cm3) across such a cross section if twice the distance (in cm) from the top of the pyramid. Compute the mass of the pyramid.
Joe has a ring weighing 20 grams made of an alloy of 20 % silver and the rest gold. He decides to melt down the rings and add enough silver to reduce the gold content to 73 %. How many grams of silver should he add?
Define the following sequences in MATHEMATICA. yo = √2-1, z0 = 6-4√2, yk+1 = (1 - f(yk))/ (1+f(yk)), k≥0 and zk+1 = zk(1+yk+1)4 -22k+3 yk+1 (1 + yk+1 + yk+12).
Perform the appropriate analysis and state the conclusions
exams in a math class. If her scores on the first four exams are 70, 68, 84, and 82, then answer the following questions.
What are the units of the following partial derivatives? What are their practical interpretations? What do you expect theirsigns to be?
construct a histogram and a frequency polygon for the following data.class intervalfrequency30-under 32532-under
Suppose you have a flexible fence of length L=130 meters. You want to use all of this fence to enclose a rectangular plot of land of at least 800 square meters in area. Which of these functions model the area of the plot if x is the width?
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