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Consider the following eigenvalue problem
d/dx(x^3*dy/dx)+xy+(lamda*x)*y=0, x belongs to (1,e), y(1)=y(e)=0.
a) what is the allowable eigenvalue and eigenfunction?
b) what is the inner product associated with these eigenfunctions?
c) use the eigenfunctions to expand the function f(x)=ln(x)/x. (please make sure to write complete step with reasoning)
Derek Anderson plans to buy a house in four years. He will make an $8,000 down payment on the property. How much should he invest today at 6% annual interest.
You are the director of communicable diseases in a city health department, responsible for a large urban community. It is early spring in 2003. For the past two years, your department has been working to control the spread of the West Nile Virus and ..
A handbag originally cost $85.00. Now it is priced at $68.00. What is the percent of decrease?
Olivia and her mom went out to dinner.
If f(3)=6 and f'(3)=3, what does the tangent line approximation give as an approximation for
1. A statistical analysis of the wait time (in minutes) at the checkout line of a certain supermarket yields the probability distribution in the table.
How does the speed of angiosperms seed development differ from that of gymnosperms and why is that advantage for them in harsh environment?
COMPUTER DATING A computer dating service uses the results of its compatibility survey for arranging dates.
Bella requires $80,000 in four years to purchase a new home. What amount must be invested today in an investment that earns 6% interest, compounded annually.
If the merchant samples the fruit, what are the probabilities of accepting a Good box, accepting a Bad box, and not accepting the box? What are these probabilities if he does not sample the fruit
The supply and demand schedules for gasoline in the country of Drivia are given in the table below. Initially, there are no taxes on gasoline.
Describe three different algorithms you use in everyday life. Write them as lists of instructions in human-readable form. What changes would need to be made for these instructions to be specific enough for a machine to follow?
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