Counterclockwise a distance
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.
Find the x and y coordinates (accurate to two decimal places) of the final location of the ant.
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Determine the charge of the capacitor and the current in the given LRC series circuit. Compute the maximum charge on the capacitor.
Chebyshev's Theorem states that for any set of nubmers the fraction which will lie in K standard deviations of the means is at least 1-1/2. Use this theorem to find the fraction of all the mumbers of a data set that must lie within 4 standard devi
At a station situated at 43 °N, the surface wind speed is 10 m s-1 and is directed across the isobars from high toward low pressure at the angle Y = 20°. Compute the magnitude of the frictional drag force and the horizontal pre
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
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)
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.
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
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