Compute the number of teenagers
The product of the ages of a group of teenagers is 10,584,000. Compute the number of teenagers in the group and the sum of their ages.
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A pharmaceutical company is considering new HIV test. It finds out that the test has a false positive rate of 5% (the probability that someone tests positive for HIV even though he or she doesn't have the virus), and a false negative rate of 1% (t
An ant starts at the point (6,0) on the circle of radius 6 meters and walks counterclockwise a distance of 5 meters around the circle.
Do you think the assumption that the two servers fail independently is realistic? What would make it more realistic? What would make it less realistic?
Using variation of parameters, find the general solution of the differential equation y'' - y' - 2y = e^(3x)
Suggest any set of 4 vectors {v1, v2, v3, v4} where each vi is in R^3. Discuss why this set can't be linearly independent in R^3
Determine the complementary solution of y'' - y' - 12y = 4x^2 - 2x and describe the functions of the complementary solution form a fundamental set of solutions on (-infinity, infinity). Then find the general sollution of the differential equation
Suggest the set of continuous functions on the interval [a, b], V=C[a,b]. If W is the subset of V such that W={f E V: Integral from a to b f(x) dx=0}, is W closed under addition? Verify or explain.
Write down the integral for the mass at the thin triangluar plate with density ?(x,y) = 2x+4y which is bounded by the lines x=0, y=0 and x+5y=20. And then write down the integral Mx,
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