For problems 9-12, determine two linearly independent power series solutions to the given differential equation cen- tered at x = 0. give a lower bound on the radius of conver- gence of the series solutions obtained. 9. (x^2 – 3)y" – 3xy' - 5y = 0. 10. (1 + x^2)y" + 4xy' + 2y = 0. 11. (1 – 4x^2)y" – 20xy' - 16y = 0. 12. (x^2 - 1)y" – 6xy' +12y = 0.

On any given day, the number of users, u, that access a certain website can be represented by the inequality 1125-4530 which of the following represents the range of users that access the website each day? u> 95 or u < 155 95> u> 155 u< 95 or > 155 95

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )

Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m? -15m = -4m -7m - 8 = m - 4 -3m - 8 = 4 - m m - 4 = -7m - 8 -8 - 7m = -4 + m -8 - 3m = 4 - m