Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Math Expert


Home >> Math

1. Determine the sequence generated by each of the following generating functions.

(a) 2x3/1 - 5x2

(b) (5 + 3x)3

(c) 1 -x /1+x

2. For each of the following generating functions, find the coefficients of x15

(a) f(x) = 2x4/(1 + x)6

(b) h(x) = 1 /1 - 3x + x/(1+2x)(1- 3x)

3. Find a closed form generating function (i.e. not a series) for each of the following given sequences.

(a) 0, 0, 0, 2, 0, 2, 0, 2, 0......

(b) 2, 6, 18, 54, 162.....

(c) 1, 1, 0, 1, 1, 0, 1, 1, 0....

4. Jon has a jar with 70 Tuna TreatsTM and 30 Me-WowsTM to give out to his cats, Fluffy, Muffy and Zazzles. How many ways can Jon give out the treats so that Fluffy gets no Tuna TreatsTM, Muffy gets 4 or more Tuna TreatsTM and 5 or more Me- WowsTM, and Zazzles get an odd number of Tuna TreatsTM? (Hint: do the two treats separately to start).

5. Use generating functions to count the number of six-digit (positive) integers whose digits sum to 42. For ex, 978468 is a six-digit integer whose digits sum to

9 + 7 + 8 + 4 + 6 + 8 = 42.

6. Determine the closed form generating function for the sequence a0, a1, a2....., where an is the number of partitions of the nonnegative integer 'n' into

(a) even summands.

(b) distinct odd summands.

(c) summands that do not exceed 10 and occur at most 3 times.

(d) summands where summand 1 occurs at most once, summand 2 occurs at most twice, and in general, summand k occurs at most k times.

Math, Academics

  • Category:- Math
  • Reference No.:- M9667

Have any Question? 


Related Questions in Math

The annual rainfall in inches in a certain region is

The annual rainfall (in inches) in a certain region is normally distributed with mean? and variance 16. a) Over the years,it is found that the probability is 0.02 that the annual rainfall is less than 32 inches. Find the ...

Solve the equation sin2 radic2 cosx 0 finding all

Solve the equation sin(2) + √2 cos(x) = 0 , finding all solutions in the interval [0, 2π). Start by applying an appropriate trig identity. (You should be able to provide the exact values of the solutions and state them i ...

The labor movement in a global economythe topics covered

The Labor Movement in a Global Economy The topics covered throughout the course will provide a starting point for further research. The final assignment must be supported by a solid foundation in labor relations concepts ...

Applying key skillsnbspplease respond to the

"Applying Key Skills" Please respond to the following: Describe the key skills you learned in this course. Explain how you expect to use those skills in your future academic, personal, and / or professional life. Recomme ...

Work this custom problem about vector addition using the

Work this custom problem about vector addition using the techniques. Problem Add the following vectors: A = 398, θ A  = 174° and B = 272, θ B  = 328° Round Answer to nearest one decimal place and please show work and exp ...

Suppose 2400 is invested in an account at an annual

Suppose $2,400 is invested in an account at an annual interest rate of 6.5% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in size?

Essay read in the real world - retailmanufacturing - coca

Essay Read "In the Real World - Retail/Manufacturing - Coca Cola" on page 233 in the textbook, and answer the Quick Preview questions on page 234. After completing the exercise, answer the following questions in essay fo ...

The polynomial gx-006x4nbsp140x3-53x2179xnbspmeasures the

The polynomial G(x)=-.006x 4  +.140x 3 -.53x 2 +1.79x measures the concentration of a dye in the bloodstream x seconds after it is injected. Does the concentration increase between 10 and 11 seconds?

Coin 1 has pheads 06 and coin 2 has pheads 05 coin 1 is

Coin 1 has P(Heads) = 0.6, and Coin 2 has P(Heads) = 0.5. Coin 1 is flipped until the first time Tailsappears. Then Coin 2 is flipped until the first time Tails appears. This process is continued, flipping andswitching e ...

1 what two concepts do you think are the most relevant to

1. What two concepts do you think are the most relevant to the field of logistics and why? 2. Which one or two concepts do you think are the least relevant to the field of logistics and why? 3. Which concepts did you fin ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen