Provide solution from the given problem on Pigeonhole Principle. Problem: In a room of 499 people, there exist two who share a birthday

Q: 2. Use the inclusion-exclusion principle to find the number of solutions to the equation r+y+: = 19,…

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Q: Also, from Theorem 4.9', we have k2k-1 k2k [(E – 2)(E – 1)(E +2)]¬!2* (4.239a) (1 · 4)(1!)…

A: The one is red is [(E-2)(E-1)(E+2)]-12k=k2k-1(1*4)(1!)=k2k8        (1)y(P)k=-79k-k26+k2k8…

Q: 2. Solve the following Cauchy problem: Uu = Uzz -0 0, u(x,0) = x – a², u(x,0) = 4x, -00 <x < 0. %3D

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Q: Prove that (RUS) (TUW), if we know as given from the problem that: RCT and SEW Justify each line of…

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Q: how many letters would be mailed if the chain letter in problem 77 went through in problem 77 went…

A: 1] Chain letter in problem =77  2] Unbroken progession =12

Q: QUESTION 1 Is y-Vy a polynomisl?

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Q: In 2020 the hourly minimum wage for a city of Norwalk worker was $11.75. Suppose every year it is…

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Q: Solve the following using Gaussian elminatic C, +2x2 -3x3+4sc4 =2 %3D SAR 53(,+12x2-7x3+ 6xcy =3

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Q: Find a formula for sn, n > 1, if s, is given by 2 3 4 6 - - - 3' 5'7' 9 ' 11

A: We have to find Sn

Q: 2)Give of a homogeneous syatem of equatians with 2 equations and 2 unknoan's. 3), Why is cury…

A: 2) Take the system of homogeneous equations            x+y=0          x+2y=0

Q: A computer manufacturer wants to establish that the average time to assemble a new desktop computer…

A: Given that computer manufacturer wants to establish that the average time to assemble a new desktop…

Q: ). Hence, solve for the system below 7x + 3y = 10 (mod 16) 2x + 5y = 9 (mod 16)

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Q: A. Solve the following using Polya's problem solving strategy. 1. How many varieties of pizza…

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Q: A 6x 6 square is tiled by 2x 1 dominoes. Prove that it has at least one fault-line, that is, a…

A: Consider a 6×6 square which is tiled by 2×1 dominoes. Suppose the 6×6 square has no fault lines.…

Q: In a clear discussion, what is simpson's 1/3 rule and how to solve

A: I am attaching image so that you understand each and every step.

Q: Question 34 Someone is mortal (H- people; M- mortal) O vx (Hx - -Mx) O vx (Hx - Mx) 3x (Hx &-Mx) O…

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Q: 3.41 Show that the Neumann problem in r'+ y<1 -2 an on x+ y = 1 does not have a solution.

A: We will use greens theorem

Q: The sum of the length of the sides of a right-triangle is greater than the length of its hypotenuse.

A: To prove by contradiction that  The sum of the length of the sides of a right-triangle is greater…

Q: Without using the  L'hopital rule. Solve Questions 1,2 and 3.

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Q: 14- * + 4y = sinz diferansiyel denklemin mertebesi aşağıdakilerden hangisidir? 9 0.5 19040

A: Which of the following is the order of the differential equation?

Q: 8. How many integer solutions are there to the inequality Y1 + y2 + Y3+ y4 0, 0 < y2 ≤ 10, 0≤ Y3 ≤…

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Q: The academic planner of a university thinks that Ho: p2 0.39 Hạ: p 0.39 Ho: p > 0.39 H.: ps 0.39

A: In hypothesis testing, a null hypothesis can be defined as the hypothesis of no difference or…

Q: Consider the following LP Min z = 3x, + 2x, +7x, s.t - x, + x, = 10 -2x, + x, – x, <-10 1 Solve the…

A: Given, Min Z=3x1+2x2+7x3s.t,                    -x1+x2           =10              -2x1+x2-x3≤-10 The…

Q: If a (b,v,r,k,lambda) design is symmetric with lambda=1, then there exists an integer n such that…

A: Using projection property in BIBD.  We know that, Symmetric 2-designs with λ = 1 and order n &gt; 1.…

Q: 15. Find the general solution of dr bcosedr + rsinode

A: General solution of differential equation

Q: 40. In isosceles AMNP, MN = MP. With point Q on MN, MO = QP = PN. Find mZM and mZN. Q 384.

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Q: QUESTION 11 In a group of 600 consuers, 290 have purchased Skippy in the past and 305 have purchased…

A: Using the given information on the concept of Venn diagram we have to determine the number of people…

Q: 1) Solve the O.DE. qiven below y'+ 3yt= tye"

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Q: 4. Solve the following IBVP: 0 0, u(0, t) = u(1, t) = 1, t>0, u(x, 0) = u;(x, 0) = 0, 0<x<1. Utt =…

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Q: and such that the sum of their squares is as small as possible. Give the sum of the squares.

A: Given problem:- 2. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such…

Q: Two different types of polishing solutions are being evaluated for possible use in tumble-polish…

A: Given that No. of polishing induced defect in first solution, x1 =253 No. of lenses were…

Q: 4. у' 3D csc х +у сotx

A: Consider the provided differential equation, y'=cscx+ycotx Find the general solution of the…

Q: Suppose ỹ = cje (:)- + czetx () is the general solution to = Aj. What is A O We don't have enough…

A: Use given differential equation y' = A y to find it.

Q: Solve the ini tuk Value froptem Problem 2 ylo)=1

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Q: The linear Diophantine equation 11x + ny = 44 is solvable if, and only if,

A: We are given the linear Diophantine equation 11x+ny=44. For it to be solvable we must have gcd(11,…

Q: For which values of a and m does ax = 1 have a solutionin Z m?

A: To find for which values of a and m does ax=1 have a solution in Zm. Zm=0,1,2,....,m-1 when a=0,…

Q: 9. Is it possible to take a walk around the city whose map is shown below, starting and ending at…

A: We have to find a path which is starts and ends at the same point.

Q: show that the Neumann problem 2 2 in du - 2 an 2 on does not have a solution.

A: We will use greens theorem

Q: Two different types of polishing solutions are being evaluated for possible use in tumble-polish…

A: Given that, Two different types of polishing solutions are being evaluated for possible use in…

Q: bability is

A: Given Mean=6 minutes

Q: у" — бу" + 11у' - бу %3D 3 сos 9х + 10 |

A:

Q: Show that if A is singular and Ax = b, b = 0, has one solution, then it has infinitely many.

A: Given: A is singular and Ax = b, b = 0

Q: The set of solutions to z^6=−i is?

A: We have to find The set of solutions to z^6=−i.

Q: Find the first devdivative 2. 2. u = x2+ 2 ut1 %1 ).

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Q: The scenario relates to a waiting line at the Dipping star at Six Flags. For the purposes of the…

A: The question is about M/M/1 queuing model Given : Avg. rate of purchase tickets in person ( λ ) = 1…

Q: (5x – 8)°, In ANOP, mZN mZO = (x – 5)°, and mZP = (6x + 1)°. Find m2O. -

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Q: Formulate the hypothesis 1. Ho: 2. HA: 3. Given: 5. Solve for t: n =

A: NOTE-AS PER POLICY I HAVE CALCULATED FIRST 3 PARTS ONLY     Here Claim is that  mean number of…

Q: Apply Euler method and Richardson extrapolation anthe problem y' year=o. and approximate y and 1…

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…