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Define three equivalence relations on the set of students in your discrete mathematics class different from the relations discussed in the text. Determine the equivalence classes for each of these equivalence relations.
If a = i + 7j + k and b = i + 13j + k , find a unit vector with positive first coordinate orthogonal to both a and b in terms of i, j, and k.
Simulate 1000 interactions of the two strategies over the six-year period. Create a histogram of the final fund values. Based on your simulation results, which of the two strategies would you recommend? Why?
Solve the following time-distance-velocity problem. Two railroad stations are 830 km apart. The first train leaves Station A at a speed of 80 km/h, bound for Station B. At the same time another train leaves Station A at a speed of 46 km/h, bound..
how many trails need to be built? Since it is considered bad luck to live at the end of a trail, can the trails be built so that no house is so situated?
1. Let D be the region lying between the hyperbolas xy = 1, xy = 2 and the lines y = x,y = 4x. Evaluate the integral Double integral D yxdA.
There is a 5 gallon and a 3 gallon box. You likewise have a hose with boundless water. How are you going to make the 5 gallon have 4 gallons utilizing your things?
Compute the domain of the function f(x) = In(x2 - 3x + 2) and its limits at the endpoints of its domain, as well as at ±∞ (if they exist).
Every third person entering a large fitness complex was surveyed, with a total of 2,500 people being surveyed. The data showed that the mean number of hours spent exercising was 3.2 hours per week. Which characteristic of the survey could create a..
Carol and David decide to play a game as follows: Carol draws and keeps a card from a shuffled pack number 1 to 6.
A solid with a base formed by intersecting sine and cosine curves and built up with semi-circular cross-sections perpendicular to the x-axis. Find the area of the base and the volume of the solid.
Conditional Probability explained in this answer, A lotttery game has balls number 1 - 21. What is the probability of selecting an even numbered ball or a 10?
Assume that you have been tasked with preparing a cultural brief for an upcoming trip that will put you and your travel companions in touch with three different societal clusters. Choose three clusters other than the one in which you currently ope..
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