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Newgroveton is a community of 445,000. In the most recent year, there were 750 new cases of disease A in the community. Assume the expected incidence rate for disease A is 245 per 100,000 people. Was the community's experience better or worse than expected? Explain your answer.
At what time has the amplitude of oscillation of a spring-mass system with negligible friction decayed to 1/e of its original value? Does this time depend in a reasonable way on k, m, and c?
1. Consider the ODE 2. (a) Solve the IVP
Find the mean particulate levels in the city center.
You have scores of 99, 93 and 90 on the first 3 tests. You must make a total of 360 in order to get an A. What scores on the last test will give you an A?
Find all equilibrium points - if both populations are greater than their values at the equilibrium point, what happens to the populations?
Solve the following second order differential equations by the Laplace transform.
Find the probability that an employee selected at random will have average or above average professional knowledge and also have excellent potential for advancement.
sum of three integers is 194, the sum of the first and second integers exceeds the third by 76, the third integer is 61 less than the first. find the three integers.
On a level track the car can just go round a bend (radius=80m) at 20ms^-1. At what angle must the tracked be banked so a speed of 30ms^-1 is reached (coefficient of friction being the same)?
Imagine you've been left in charge of an ice cream stall and you have three flavours of ice cream to sell - vanilla, strawberry and chocolate.
How many times did Jeff's ball bounce?
If you plan to drive the new car for 120,000 miles over the next 10 years, which car is the better buy? Use mathematical reasoning to justify your responses.
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