Determine the coefficient of x9y3 in the expansions of (a) (x + y)12 (b) (x + 2y)12

Question:

Determine the coefficient of x9y3 in the expansions of
(a) (x + y)12
(b) (x + 2y)12
(c) (2x - 3y)12.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

See More Books

Question Posted: Jun 21, 2016 08:00 AM

See More Questions

1. Determine the middle term in the binomial expansion of (x + y)20. 2. Determine the middle term in the binomial expansion of (x + y)10. 3. Determine the coefficient of x2 in the expansion of (1 +...
The following values are the starting salaries, in $000, for a sample of five accounting graduates who accepted positions in public accounting last year. a. Determine the mean, median, and the...
The linear correlation coefficient of a set of data points is 0.846. a. Is the slope of the regression line positive or negative? Explain your answer. b. Determine the coefficient of determination.
Mango Designs began selling its custom furniture on June 1, 2020. At the end of the month, the special journals showed the following results. Other information you will need is as follows: ? Interest...
The Cross-town Cab Company has four cabs on duty during normal business hours. The cab company dispatcher receives requests for service every seven minutes, on average, according to an exponential...
What is the risk of changes to labour cost per annum? AppendixLO1
Referring to Chapter 8, what kind of strategy is Google following?
The Barb Company has provided information on intangible assets as follows: 1. A patent was purchased from the Lou Company for $1,500,000 on January 1, 2006. Barb estimated the remaining useful life...
You are considering an investment in Julies Jewels. The analysts in the market think highly of the company. It has a beta of 1.12. The market risk premium is 7.92% and 4.34% is the risk free rate....
F&H Corp. continues to invest heavily in a declining industry. Here is an excerpt from a recent speech by F&Hs CFO: We at F&H have of course noted the complaints of a few spineless investors and...
(a) In the complete expansion of (a + b + c + d) (e + f + g + h)(u + v + w + x + y + z) one obtains the sum of terms such as agw, cfx, and dgv. How many such terms appear in this complete expansion?...
Complete the details in the proof of the multinomial theorem. Multinomial theorem. For positive integers n, t, the coefficient of x1n1x2n2x3n3 . . . xtnt in the expansion of (x1 + x2 + x3 + . . . +...
A dilute solution of 1, 3-pentanediol does not produce the characteristic IR signal for a dilute alcohol. Rather, it produces a signal that is characteristic of a concentrated alcohol. Explain.
At March 31, account balances after adjustments for Vizzini Cinema are as follows: Account Balances Accounts Cash Supplies Equipment (After Adjustment) $11,000 4,000 50,000 Accumulated...
2. "A student holds a thin aluminum pie pan horizontally 2 m above the ground and releases it. Using a motion detector, she obtains the graph shown in Figure P3.12. Based on her measurements, (a)...
Mark has two sticks, 25 inches, and 20 inches. If he places them end-to-end perpendicularly, what two acute angles would be formed when he added the hypotenuse?
A wedding website states that the average cost of a wedding is $29,205. One concerned bride hopes that the average is less than reported. To see if her hope is correct, she surveys 36 recently...
2. (10 pts each) Use partial fractions decomposition and the tables to find the inverse z- transform of each of the following: a. X(z)= 6z-z z3-4z2-z+4 4z2 b. G(z)=- (z-1) (z-0.5) 3z +1 c. X(z) =...
(a) A pendulum that has a period of 3.00000 s and that is located where the acceleration due to gravity is 9.79 m/s 2 is moved to a location where the acceleration due to gravity is 9.82 m/s 2 . What...
What types of inventory issues Starbucks might reflect upon at the end of each year? The mission of Starbucks is to inspire and nurture the human spiritone person, one cup, and one neighborhood at a...
Solve and write interval notation for the solution set. Then graph the solution set. (a) 2x - 5 < x + 7 (b) 3x + 1 5x + 9 (c) -3 3x + 1 5
The equation y = 0.08x + 0.83 estimates the number of homeschooled children in the United States, n millions, where x is the number of years after 1999 (Source: Department of Education's National...
Find the point on the x-axis that is equidistant from the points (1, 3) and (4, -3).
Simpson Ltd is a small IT company, which has 2 million shares outstanding and a share price of $20 per share. The management of Simpson plans to increase debt and suggests it will generate $3 million...
The following are the information of Chun Equipment Company for Year 2 . ( Hint: Some of the items will not appear on either statement, and ending retained earnings must be calculated. ) Salaries...
Alta Ski Company's inventory records contained the following information regarding its latest ski model. The company uses a periodic inventory system. Beginning inventory, January 1, 2018 1,250 units...

Determine the coefficient of x9y3 in the expansions of (a) (x + y)12 (b) (x + 2y)12

Question:

Step by Step Answer:

a b c Let a 2x and b 3y By ...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

Students also viewed these Linear Algebra questions