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Question 1:
Show directly without the use of Ptolemy's theorem, that in an isosceles trapezoid, the square on a diagonal is equal to the sum of the product of the two parallel sides plus the square on one of the other sides.
1 Find the length of the chord that cuts off arc of length 5 1/2 in a circle of diameter 33.
2) Prove Proposition 32 of the Maasei Hoshev:
3) One of the problems from the MaaseiHoshev: A barrel has various holes: The first hole empties the full barrel in 3 days; the second hole empties the full barrel in 5 days; another hole empties the full barrel in 20 hours; and another hole empties the full barrel in 12 hours. All the holes are opened together. How much time will it take to empty the barrel?
Question 2:
It turns out that in the Balinese calendar, to specify a day, it is sufficient to specify the position of the day in just the five, six, and seven day weeks. Thus, we specify a day by the notation
Find the minimum number of days between the day .
Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.
This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.
This assignment has questions related to probabiltiy.
Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.
Derive the Boolean Expression and construct the switching circuit for the truth table stated
Evaluate which equations are under-identified, just-identified, and over-identified.
Linear programming problem consisting of only two constraints with one objective function.
Find the natural domain of the given functions.
Compute the coecients of the polynomials using the term recurrence relation.
De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.
Questions related on mathematics in computing.
Complex problems
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