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1. Show that when you apply node splitting to a nonreducible ow graph, and then perform T1-T2 reduction on the resulting split graph, you wind up with strictly fewer nodes than you started with.
2. What happens if you apply node-splitting and T1-T2 reduction alternately, to reduce a complete directed graph of n nodes?
Find a hyperbolic rigid motion that transforms the bowed geodesic from (-4,0) to (2,0) to the bowed geodesic from(10,0) to (20,0)?
Assuming a company is selling guitar at its list price of 1,899.90, with a cash discount of 3/10, n/30 sales tax is 7% and shipping is 30.40. What is the final price if cash discount period was met?
What is the maximum profit if each item is sold for 10 dollars? (Assume you sell everything you produce.)
For each of the following pairs of numbers, use the Euclidean algorithm to compute gcd(a, b) and to find integers x, y such that ax + by = gcd(a, b)
73 students study all three. Can you determine how many students there are in the math department? The answer is well below 814.
Using this different model predict the percent of wins for the season for the Seattle Seahawks that made 49 touchdowns and 29 field goals during the season. Compare the predictions from 4e and 3a. Which model did a better job at predicting the perc..
Derive Boole's rule by making use of a Lagrange polynomial of order 4. You may use similar reasoning as was outlined in Week 6 for deriving Simpson's rule.
What is meant by "measures of effectiveness"? For the effectiveness analysis of a sport utility vehicle (SUV), list what you think would be the eight most important characteristics that should be exercised and measured in the analysis.
A department store wants to test the claim that 40% of its customers browse the store's website prior to visiting the store using a random sample of 100 customers. If the desired level of significance is 0.05, what are the critical values for the ..
Adams High School has 165 freshman, 177 sophomores, 214 juniors, and 227 seniors. If two students are selected at random without replacement, what is the probability of selecting a freshman on the first selection and a senior on the second selecti..
A total of $80,000 is invested in two funds paying 2.3% and 3.1 % simple interest. The total annual interest is $2000. How much is invested in each fund?
let pt be the point on the unit circle u that corresponds to t. if pt has the given rectangular coordinates -817 1517
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