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Question: In a certain region, about 6% of a city's population moves to the surrounding suburbs each year, and about 4% of the suburban population moves into the city. In 2010, there were 10,000,000 residents in the city and 800,000 in the suburbs. Set up a difference equation that describes this situation, where x0 is the initial population in 2010 Then estimate the populations in the city and in the suburbs two years later, in 2012.
Implement the following boolean function with a 4x1 multiplexer and external gates. Connect inputs A and B to the selection lines. The input requirements for the four data lines will be a function of variables C and D.
Students log on to California Virtual Campus with a user name consisting of eight characters: four uppercase letters of the alphabet followed by four digits.
two groups were polled about thier attitudes towards capital punishment. In one group 30 out of 100 favored capital punishment, and in the other group 40 out of 80 favored capital punishment. Calculate an appropriate test value to test the hypothe..
Use differentials to estimate the range of temperatures that the taco might attain - find the reference temperature Tref and the maximum deviation dT; the range is the Tref - dT to Tref + dT.
Let A be a real n x n matrix. Show that a linear subspace E of R^n is A-invariant if and only if E is e^{tA} -invariant for all t in R, where e^{tA} is the exponential matrix associated to A.
cash box some bills are one dollars bills and the rest are five dollars bills. the total amount in the cash box is $50 find the number of each type of bill in the cash box
A flu epidemic hits a large city. Each resident of the city is either sick, well, or a carrier. The proportion of people in each of these categories by age is given by the matrix:
Use Newton's Law of Cooling in the following example. A thermometer reading 72 degrees Fahrenheit is placed into a refrigerator where the temperature is a constant 38 degrees Fahrenheit.
If there are two toppings available, then the number of pizzas that can be made is 23, or 8 different pizzas.
Suppose L: K is a Galios extension whose Galios group G is isomorphic to the Klein four group. Assume that K does not have characteristic 2. Show that there exists x, y ε k such that every element of L can be expressed in the form a + b√x + c√y + ..
If we built a new bridge in K¨onigsberg between the Island and the top and bottom banks of the river, could we take a walk that crosses all the bridges and uses none twice? Either explain where could we start and end in that case or why we couldn'..
Similarly, one additional unit will be occupied for each 1 dollar decrease in rent. What rent should the manager charge to maximize revenue?
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