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Question: You have probably noticed some left-right symmetry in the triangular array. (If not, go notice it now.) Using choice notation, express this symmetry for a particular pair of entries in the triangular array. Pick three more symmetric pairs and use choice notation to express their symmetry. Can you now express the symmetry of the entire array using choice notation? Please attempt to do so. Using sugar-numbers, prove that this symmetry makes sense. (By the way, this is another example of combinatorial proof.)
Find an anti-derivative of the function f(x) = (x2 + 1)(x3 + 3x)4. Find an anti-derivative of the function f(x) = sin(ln x)/x. Find an anti-derivative of the function f(x) = 2x/2x+3
Using row operations, determine if the following set of equations has a solution:
Tickets to King Middle School play cost $1 for King students and $3 for everyone else. Rose, a student at King Middle School, went to the play with friends from another school. the group paid a total of $13 for the tickets. How many friends went t..
Find the formulas for computing the check digits for the international standard book number(ISBN),for both ISBN-10 and ISBN-13.Hence find the check digit for the book with ISBN '0-8176-4227'
A plane travels 170 miles on a bearing of N 18 degrees E and then changes its course to N 49 degrees E and travels 120 mi . find the total distance traveled north and the east.
If a plane can travel 470nmph with the wind and 410 mph against the wind, find the speed of the plane in still air.
How do Porter's competitive forces model, the value chain model, synergies, core competencies
This chapter begins by suggesting that motivating employees has become more challenging in recent years, partly because younger employees.
Fertiliser 1 costs $20/kg while Fertiliser 2 costs $15/kg. The farmer wants to know how many bags of each type of fertiliser should be used to minimise the cost. Formulate the problem above as an optimisation problem, don't solve it.
Given the date below find the US Net Growth rate due to births and deaths (i.e neglect) in 1985, 1995, and 2007
The points will be awarded based on the accuracy and completeness of your work. Make sure to use the same numbering for your answers as the question.
The number of miles driven each day for a five-day trip. Let an ordered pair be given in the form (day, miles).
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