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

In this discussion you will solve quadratic equations by

In this discussion, you will solve quadratic equations by two main methods: factoring and using the quadratic formula. Read the following instructions in order and view the example to complete this discussion. Please com ...

Suppose an individual makes an initial investment of 2200in

Suppose an individual makes an initial investment of $2200in an account that earns6%, compounded monthly, and makes additional contributions of $100 at the end of each month for a period of 12 years. After these 12 years ...

The angle of inclination of a road is often expressed as a

The angle of inclination of a road is often expressed as a percent grade, which is the vertical rise divided by the horizontal run (expressed as a percent). A 25.0% grade corresponds to a road that rises 25.0 ft for ever ...

If 5300 feet of fencing are used to enclose a rectangular

If 5300 feet of fencing are used to enclose a rectangular field, the resulting area of the field is where x is A=x(2650-x) the width of the pen. What is the maximum possible area of the pen?

What are the best ways to mitigate risk in health care

What are the best ways to mitigate risk in health care settings? Consider a focus on patient safety/satisfaction, data, and culture of the institution. Analyze at least three methods to mitigate risk, providing examples ...

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' ...

1 complete the algebra that leads to the transcendental

1. Complete the algebra that leads to the transcendental equations given by (155.5), (155.6) and (155.7) of the finite 1-d square well. 2. For advanced students, find the condition on (or value of) well depth, V 0 , and ...

1 draw the graph of the following linear function and give

1. Draw the graph of the following linear function and give the domain and range. f(x) = -½x + 5 2. Solve the following equation. |x| = 3. 3. Give the inequality whose graph is shown below. 4. Evaluate the following expr ...

Essayanswer the following question in essay formatyour

Essay Answer the following question in essay format. Your essay must include an introduction paragraph, a main section consisting of two or more paragraphs, and a conclusion paragraph. Your essay must include cited mater ...

In a 150-200 word reply respond to the followinghow does

In a 150-200 word reply, respond to the following: How does the visionary component of change relate to servant leadership and world-changing outcomes? What examples of servant leadership and world-changing outcomes can ...

  • 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