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 demand function for a certain brand of cd is given by p

The demand function for a certain brand of CD is given by p = -0.01x2- 0.3x + 49 where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the con ...

Consumer driven health plans provide individuals with an

Consumer Driven Health Plans provide individuals with an incentive to control the care and cost of health benefits. Research a CDHP such as an HRA, HSA, or FSA and discuss ways that you might be able to control cost if y ...

Peter a massachusetts resident applied for a loan at three

Peter, a Massachusetts resident, applied for a loan at three banks. Peter's application was denied at the first two banks but finally was approved by the third institution. Peter believes that the first two banks denied ...

As an international marketer you are in the process of

As an international marketer, you are in the process of negotiating an agreement with a new customer in China. Would you stipulate mediation (conciliation) or arbitration as the required means for settling potential disp ...

The material-handling systems for the maltese distribution

The material-handling systems for the Maltese distribution centre in La Valletta of Ekom makes use of hand transpallet trucks which can hold at most three roll containers, with a capacity of 15 packages each. Last Januar ...

A researcher wants to test the association between 3 stress

A researcher wants to test the association between 3 stress levels and 6 choices of favorite color in mature adults. The chi-square value computed was 12.37. at the 0.10 level what should the researcher conclude? a. with ...

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 ...

Prove the minimality of the set of properties defining the

Prove the minimality of the set of properties defining the Kalai-Smorodinsky solution. In other words, prove (by examples) that for any set of three of the four properties characterizing the solution concept, there exist ...

A national caterer determined that 37 of the people who

A national caterer determined that 37% of the people who sampled their food said that it was delicious. A random sample of 144 people is obtained from a population of 5000. The 144 people are asked to sample the caterer' ...

A hardware store stocks eight types of pipes one of which

A hardware store stocks eight types of pipes, one of which is stainless steel (SS). Assuming there are at least 20 pipes of each type, how many ways can a total inventory of 20 pipes be distributed among the eight differ ...

  • 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

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

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