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Derive the constraints on the αj in the thin-plate spline expansion (5.39) to guarantee that the penalty J(f) is finite. How else could one ensure that the penalty was finite?
A physician injects 5 mg of dye into a vein near the heart of a patient and by monitoring the concentration of dye in the blood over a 24-second period, determines that the concentration of dye leaving the heart after t seconds (o
an organization administers exams to a nationwide sampling of students to assess the quality of education in america.
A bacteria population starts with 400 bacteria and grows at a rate of r(t) bacteria per hour. How many bacteria n will there be after three hours? (Give your answer to the nearest bacterium.) r(t) = 450.266 e^(1.12567 t)
The area of a certain rectangle is 288 yd2. The perimeter is 68 yd. If you double the length and width what will be the area and perimeter of the new rectangle.
A merchant has coffee with $20 a pound that she wishes to mix with 70 pounds of coffee $90 a pound to get a mixture that is worth $30 a pound. How many pounds (lb) of the $20 coffee should be used?
What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function?
One colored marker -red, yellow, or green - is selected and a coin is tossed. Use the counting principle to determine the number of sample points in the sample space.
Find new estimates using ten rectangles in each case.
The length of the transverse axis is 8, and the length of the red line segment is 12. How long is the blue line segment?
Find the general solution of the second order differential equation y'' - y' - 6y = e^-3x This one is quite long winded, and I am pretty sure that I am getting yh right but can't seem to get close to yp. I think this is a D.R.A.E?
the rate of growth of a particular population is given by Dp/dt=50t^2-60t^3/2 where t is time in years. If the initial population is 25,000, how long will it take the population to double?
How many hours of pumping until the well is full? How many cubic meters of water are in the well after t hours of pumping?
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