Explanation Given information: The expression, ( m + n ) 11 . Formula used: Binomial Theorem: For any positive integer n , expansion of ( a + b ) n is given by ( a + b ) n = n ! n ! ⋅ 0 ! a n + n ! ( n − 1 ) ! ⋅ 1 ! a ( n − 1 ) b + n ! ( n − 2 ) ! ⋅ 2 ! a ( n − 2 ) b 2 + … + n ! 0 ! ⋅ n ! b ( n ) In factorial notation, 0! =1 Calculation: By formula, ( a + b ) n = n ! n ! ⋅ 0 ! a n + n ! ( n − 1 ) ! ⋅ 1 ! a ( n − 1 ) b + n ! ( n − 2 ) ! ⋅ 2 ! a ( n − 2 ) b 2 + … + n ! 0 ! ⋅ n ! b ( n ) Solving for the first three terms, ( m + n ) 11 = 11 ! 11 !<

ALEKS CORPORATION ALEKS 360 IA BEG & INT

6th Edition

ISBN: 9781264242221

Author: Miller

Publisher: MCG

See similar textbooks

Videos

Question

Chapter 14.1, Problem 33PE

To determine

To calculate: The first three terms in the expansion of (m+n)11.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.1, Problem 32PE

Chapter 14.1, Problem 34PE

Students have asked these similar questions

For the following exercise, find the domain and range of the function below using interval notation. 10+ 9 8 7 6 5 4 3 2 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 34 5 6 7 8 9 10 -1 -2 Domain: Range: -4 -5 -6 -7- 67% 9 -8 -9 -10-

1. Given that h(t) = -5t + 3 t². A tangent line H to the function h(t) passes through the point (-7, B). a. Determine the value of ẞ. b. Derive an expression to represent the gradient of the tangent line H that is passing through the point (-7. B). c. Hence, derive the straight-line equation of the tangent line H 2. The function p(q) has factors of (q − 3) (2q + 5) (q) for the interval -3≤ q≤ 4. a. Derive an expression for the function p(q). b. Determine the stationary point(s) of the function p(q) c. Classify the stationary point(s) from part b. above. d. Identify the local maximum of the function p(q). e. Identify the global minimum for the function p(q). 3. Given that m(q) = -3e-24-169 +9 (-39-7)(-In (30-755 a. State all the possible rules that should be used to differentiate the function m(q). Next to the rule that has been stated, write the expression(s) of the function m(q) for which that rule will be applied. b. Determine the derivative of m(q)

Safari File Edit View History Bookmarks Window Help Ο Ω OV O mA 0 mW ర Fri Apr 4 1 222 tv A F9 F10 DII 4 F6 F7 F8 7 29 8 00 W E R T Y U S D பட 9 O G H J K E F11 + 11 F12 O P } [

Chapter 14 Solutions

ALEKS CORPORATION ALEKS 360 IA BEG & INT

Ch. 14.1 - Prob. 1SP Ch. 14.1 - Prob. 2SP Ch. 14.1 - Evaluate the expressions. 3. 1! Ch. 14.1 - Prob. 4SP Ch. 14.1 - Prob. 5SP Ch. 14.1 - Prob. 6SP Ch. 14.1 - Write out the first three terms of ( x + y ) 5 .Ch. 14.1 - 8. Use the binomial theorem to expand . Ch. 14.1 - Use the binomial theorem to expand ( 2 a − 3 b 2 )...Ch. 14.1 - Find the fourth term of ( x + y ) 8 .

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

The first three terms in the expansion of ( m + n ) 11 .

Solution Summary: The author calculates the first three terms in the expansion of (m+n)11.

Videos

To calculate: The first three terms in the expansion of (m+n)11.

Want to see the full answer?

Chapter 14 Solutions