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Question: CRIME RATE The number of major crimes per 100,000 committed in a city between 2000 and 2007 is approximated by the function
N(t) = -0.1t3 + 1.5t2 + 80 (0 ≤ t ≤ 7)
Where N(t) denotes the number of crimes per 100,000 committed in year t, with t 0 corresponding to 2000. Enraged by the dramatic increase in the crime rate, the citizens, with the help of the local police, organized Neighborhood Crime Watch groups in early 2004 to combat this menace. Sketch the graph of the function Nand interpret your results. Is the Neighborhood Crime Watch program working?
For a firm that has passed the point where the law of diminishing returns has taken effect, adding another input to production means
Use the Chain rule to find the partial derivatives ∂z/∂s and ∂z/∂t ,if z = er cos θ, r = st, θ = √(s2+t2). Find the equations of the tangent plane and normal line to the surface x2 - 6 y2 + z2 - xy + 2 yz = 3 at the point P(2, -1,3).
Let f (x) = |x| for x greater or equal to -1, less than or equal to +1. Write the Fourier series for f (x) on [-1,1]. Show that this series can be differentiated term by term to yield the Fourier expansion of f'(x) on [-1,1]
'A' has three share in a lottery in which there are 3 prizes and 6 blanks' 'B' has one share in a lottery in which there is 1 prize and 2 blanks. Find ratio of A's chance of winning a prize to B's chance of winning a prizes.
determine the percentage of samples of size 4 that will have mean monthly expenditures on food within $72 of the population mean expenditure of $370
Changing the status of room means if the room is closed make it open and vice verse. So after 1000 students done their jobs, how many rooms will be remained open ?
Kathy bicycles 8 km/h faster than Javier. In the same time, it takes Javier to bicycle 45km, Kathy can bicycle 69km. How fast does each bicyclist travel?
Subtract row 2 from row 1, row 3 from row 2, and so on, and explain why this does not change the determinant of the matrix.
Let u be a harmonic function on the unit ball B1 with ||u||∞ = supz∈B1|u (z)|
Let f be a function f . Z → Z x Z such that f(n) = (2n, n + 3). Verify whether this function is 1-1 and whether it is onto and let f be a function f . R3 → R such that f(x, y, z) = xyz. Verify whether this function is 1-1 and whether it is onto.
IGS, an international group of scientists, proposes that a network of canals on Mars be dredged in preparation for irrigation and terraforming. Figure 12.18 shows a map of the network in question. You have been asked to consult with IGS on some pr..
The Sum of two numbers is 79. Let x denote one of the numbers. Part 1 Express the product of the two numbers as a function of x. Product =
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