dx dt = = (x-232) (x-2024), find all the equilibrium solutions and then determine the stability of each equilibrium solution.
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- The total weekly sales for a newly released portable media player (PMP) increased each week. At the same time, the total weekly sales for another newly released PMP decreased each week. Models that approximate the total weekly sales S (in thousands of units) for each PMP are = 10x + 70 S = = -10x + 210 where x represents the number of weeks each PMP was in stores, with x = 0 corresponding to the PMP sales on the day each PMP was first released in stores. After how many weeks will the sales for the two PMPs be equal? 11 weeks 5 weeks 3 weeks 9 weeks PMP 1 PMP2 7 weeksThe number of a certain type of bacteria, y, present in a culture is determined by the equation y=2000(4)x, where x is the number of days the culture has been growing. Find the number of bacteria present after 6 days.y=e−x3
- Sales of fine-cut cigarettes (in millions) in a country are given by y = - 14.898x + 356.467x + 5332.618, where x is the number of years after 1980. During what years does this model indicate that sales would be at least 6 billion? The sales are at least 6 billion for the years through (Round up to the nearest year as needed.)differentiate y =[(3x2 + 2x + 2)(x - 2)]2Why is 1 + 7/x = y not a linear equation?
- Solve: Vx – 6 = x – 6. - 6. -population of bacteria is growing rapidly, each day increasing by 10%. The original population of bacteria (on day 0) was 70 bacteria. Let x represent days and y represent the number of bacteria. Create a table of values and write an equation that represents this situation. X y Write an equation that models this situation. Use x and y (as defined above) as your variables.y = V5 + x², y=0, x=0, x= 2