Combinatorics Show that if n+1 distint integcrs are,Chosen from the Set El, 2,.,4n}.thenthere are always two which differ by atmost 3.Assume ha3.

To show that choosing n+1 distinct integers from the set {1, 2, 3, ..., 4n} then there are always…

Answered: Show that if h+1 distinct integers are,…

Show that if h+1 distinct integers are, Chasen from the Set El,2,en.,4n}. then there are always two which differ by at most 3.Assume h S2

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

5+j4 5-j4 Determine the simplified form of
Salving Palynomial Taquelions factor Complere ly tle pynunmialis nat fuclorabe, write prime.
77. DISCUSS: The Least Squares Line The least squares line or regression line is the line that best fits a set of points in the plane. We studied this line in the Focus on Modeling that follows Chapter 1 (see page 174). By using calculus, it can be shown that the line that best fits the n data points (x1, yı), (X2, y2), - .. , (X, Yn) is the line y = ax + b, where the coefficients a and b satisfy the following pair of linear equations. (The notation E- x, stands for the sum of all the x's. See Section 13.1 for a complete description of sigma (E) notation.) x Ja + nb = Ey. k=1 (2:)- + (2-) » - .» k=1 Use these equations to find the least squares line for the fol- lowing data points. (1, 3), (2,5). (3, 6), (5,6). (7,9) Sketch the points and your line to confirm that the line fits these points well. If your calculator computes regression lines, see whether it gives you the same line as the formulas.
A D E (i), (vi) (iii), (v) (iii), (iv) (iii), (vi) (i), (iv) We know the order of A3 is 3. Determine the orders of A4 and A5 (i): The order of A₁ is 4 (ii) The order of A4 is 6 (iii): The order of A4 is 12 (iv): The order of A5 is 5 (v): The order of A5 is 30 (vi): The order of As is 60 :
Plz solve it within 30-40 mins I'll give you multiple upvote
6 - 16 =20 2 #(0) = – 2, y(0) =
70. College Costs The table lists the average tuition and fees (in constant 2014 dollars) at public colleges and universi- ties for selected years. Year 1984 1994 2004 2014 Tuition and Fees (in 2014 dollars) 12,179 16,188 7626 9386 Source: National Center for Education Statistics. (a) Find the equation of the least-squares regression line that models the data. (b) Graph the data and the regression line in the same viewing window. (c) Estimate the cost in 2009. (d) Use the model to predict the cost in 2019.
DEEPER UNDERSTANDING- CHOOSE A CHOICE AND EXPLAIN!!! 1) Consider the end behavior description below. • as x- -, fx) → * • as x-, flx) - Your choice: . Explanation: | (Sentence starter: " I chose, because..") Which function satisfies the given conditions? S(«) = x+ + 2x2 + 1 (1) f(x) = -x + 2r - 6 (3) ( 2) (4)
t-models, part III Describe how the shape, center, andspread of t-models change as the number of degrees offreedom increases.
Pseudoscorpions: Investigating the Research Question The data for this project is in data frame Pseudoscorpions, from package abd: require(abd)data(Pseudoscorpions)View(Pseudoscorpions)help(Pseudoscorpions) From the text Analysis of Biological Data, by Michael C. Whitlock and Dolph Schluter: Pseudoscorpions of the species Chordylochernes scorpioides live in tropical forests where they ride on the backs of harlequin beetles to reach rotting figs where they feed. Females of the species are promiscuous and mate with multiple males over short lifetimes. It is unclear what advantages there are for a female to mate multiple times, because the males don't help to care for her young, and mating just once provides all the sperm she needs to fertilize her eggs. One possible advantage is that the sperm of some males is genetically incompatible with a given female and, by mating multiple times, a female increases the chances of mating with at least one male whose sperm is compatible with her. To…
Beginning Inventory $11,500 Daily Alternative Purchases (+) $1,000 Produce Purchases (+) $550 Protein Purchases (+) $1,000 Dry Goods Purchases (+) $1,000 Total Available = $15,050 Ending Inventory (-) $10,900 Food Cost (COGS) (=) $4,100 Revenue (Sales) (+) $12,500 Food Cost % (=) 32.8% If the Revenue (sales) decreases and everything else remains the same, what happens to the Food Cost percentage? a. Food cost % increases because the ratio of food cost to revenue will be higher b. Food cost % decreases because the ratio of food cost to revenue will be higher c. Food cost % increases because the ratio of food cost to revenue will be lower d. Food cost % decreases because the ratio of food cost to revenue will be lower