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Find the solution for the following DE with the given initial values y′′ + 2y′ + 10y = 5x with y(0) = -1/10, y′(0) = 7/2. All working must be shown. If it is not clear to the marker what you have done at each step then you may lose marks.
1. Find all of the critical points and local maximums and minimums of the function:
according to a recent study when shopping online for luxury goods men spend a mean of 2401 whereas women spend a mean
In the language of government statistics, the "labor force" includes all civilians over 16 years of age who are working or looking for work. We select a member of the U. S. labor force at random, and let A be the event that the person selected is ..
How do you find the minimum (i = 1) or maximum (i = n) in a set? What is the running time? How do you find the second smallest element? Does this approach extend to finding the ith smallest? What is the running time?
The vertical motion of a mass attached to a spring is described by the initial value problem (1/4)x"+x'+x=0, x(0)=4, x'(0)=2. Determine the maximum vertical displacement of the mass.
Research a restaurant or hotel anywhere in the United States you have had a personal experience with. You are to then complete a TripAdvisor evaluation for the chosen restaurant or hotel.
A square garden plot measures 125 square feet. a second square garden plot measures 405 square feet. how many more feet of fence will the second garden plot require over that required for the first garden plot.
How much time do you have to assemble each mousetrap?
The resale value of a certain industrial machine decreases at a rate that depends on its age. When the machine is t years old, the rate at which its value is changing is -960e^-t/5 dollars per year.
the base of a triangular field is three times its altitude. If the cost of sowing the field at rs 58 per hectare is rs 783 ,find its base and height.
Find the dool little LU decomposition ofthe matrix without doing any row interchanges. Use your LU decomposition to calculate the determinant of A and the third columnof A-1.
What is the ant's linear velocity? Include appropriate units in your answer.
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