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Find the first four terms in each of two linearly independent solutions of the given differential equation (solve by means of a power series about the given point x0 ).
(16 + x2)y '' - xy' + 32y = 0,x0 = 0
NCTM math standards to include learning goals & objectives, a lesson plan to include differentiation of instruction to address the diverse needs of students and problem solving strategies plus informal and formal assessments that align with object..
Probability distribution. The high school GPA of applicants for admission to a college program are recorded and relative frequencies are calculated for the categories.
Show that if we change the IVP to x(0) = 1, the same system , that is x' = 3 x^2/3, still has a unique solution on the interval ( minus infinity, plus infinity).
An older computer's CPU speed was 8 megahertz, but after an upgrade it was 200 megahertz. What percentage is the speed increase?
The temprature recorded in a city during a given day approximately followed the curve of T=0.00100t^4-0.280t^2+25 where t is the number of hours from noon
Prove that there exist real numbers which are not algebraic.
Timmy enjoys playing old-fashioned video games. He found 3 game systems on eBay and wants to purchase a Nintendo game system, an Atari game system, and a Sega arcade game system.
Use truth tables to prove that an implication is always equivalent to its contrapositive. Site an example where this is so. Use truth tables to prove that an implication may not be equivalent to its converse. Site an example where this is so.
Find the mean and standard deviation of the profit (in dollars) the retailer makes from selling a batch of lightbulbs and find an interval with the property that the retailer
Use the Empirical Rule to find what two values 68% of the data will fall between for a data set with a mean of 293 and standard deviation of 19.
You are managing a small assembly operation building toy cars. Due to increased demand, you need to hire an employee in addition to the two that are already building this line of toy assemblies. For the questions below, show all your work in deriv..
Let X be given the co-finite topology. Suppose that X is a infinite set. Is X Hausdorff? Should compact subsets of X be closed? What are compact subsets of X?
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