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A particle starts at the point (-2,0), moves along the x-axis to (2,0), and then along the semicircle y= squareroot(4 - x^2) to the starting point. Use Green's Theorem to find the work done on this particle by the force field F(x,y)= < x, x^3 + 3xy^2 >
A medical equipment manufacturing company tested the reliability of blood pressure monitors. It measured the time to failure of 20 randomly sampled monitors it produced. Listed below are the 20 measurements (in months) for the time to first failur..
Find Probability of Drawing Cards. You draw two cards, which end up being Saddam Hussein and another one with his cousin Chemical Alia?.
Probability and chance A prison has 20 balls, 10 black and 10 white. The prisoner is to arrange the balls in 2 boxes. All of the balls must be used and there must be at least one ball in each box.
Suppose that N and M are two normal subgroups of G and that N intersection M = (e). Show that for any n belongs to N, m belongs to M, nm = mn.
The input consists of two arrays each representing a set of integers (in each array, each value appears only once). The output is an array representing the union of the two sets - again, each value appears only once.
Let a be the permutation (1 2 3) in A_4. What is the order of the element (3, 7, a) in the group U(10) direct product Z_42 direct product A_4.
Show that if f:A->R is Lipschitz then it is uniformly continuous on A. Is the converse statement true? Are all uniformly continuous functions necessarily Lipschitz?
Suppose K is a conjugacy class of S_n (the symmetric group), with K consisting of even permutations. Suppose that x in K. Show that K splits into two conjugacy classes
2800 people were surveyed about their recent purchases. 715 of those people surveyed bought a television within the last year
Please explain the steps and solution. Find an equation of the line tangent to the curve defined by the equation at the specified point:
Find the number of committees from the given information - How many 5 card poker hands can be performed from a deck of 52 cards?
Working with probability distributions and expected values. Suppose 5 apples in a barrel of 25 apples are known to be rotten.
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