Compute each of the following permutations. (a) (1423)(34)(56)(1324); (b) (1254)^2(123)(45); (c) [(1235)(467)]^(−1); (d) (1254)^100

Q: In the expansion of (x+y)35

A: We use the Binomial Theorem to find the required coefficient in the given question.

Q: In (5 – x) – In (5 + x) = -In 9

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Q: Find the smallest integer x for which (x4 + 4x)/(x + 2) is O(xx). 01 02

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Q: Evaluate the following 1. V(x³8x²5x+1)

A: Given : fx=x3-8x2-5x+1 Evaluate : ∇x3-8x2-5x+1 Note : According to the guideline we are  suppose to…

Q: ) Find an integer having the remainders 3, 11, 15 when divided by 10, 13, 17, respec- tively.…

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Q: pansion of (x + 3) ¹7+ x³(x+ 17 3

A:

Q: ) Write the expansion of (3 + 2x) and use the first three terms of the expansion to approximate3.26.

A: Concept is binomial theoram  3.2 = (3+0.2) 0.2 = 2x0.1

Q: In(+2)-3

A:

Q: In the expansion of (4x + y) ^ 9, the coefficient of x3y4 is

A:

Q: 7. Express the following numbers without using exponents. (a) 2-1 = (b) 2-3 = (c) ) 1 (d) 2-3

A: By using a-m=1amabm=ambm

Q: Differentiate the following: (a) (2x – 1)*. (b)(5x + 1)* (3 – 2x)* -

A:

Q: y(x^2 y^2 - m)dx + x(x^2 y^2 + n) dy = 0

A: yx2y2-mdx+xx2y2+ndy=0Let M=yx2y2-m∂M∂y=y·2x2y+x2y2-m        =3x2y2-mLet N=xx2y2+n∂N∂x=3x2y2+nNow,…

Q: a'b in (a + b)'07

A: a+b10 Now the general term is, Tr+1=Crn·an-r·br⇒Tr+1=Cr10·a10-r·br

Q: what is the coefficient of X^9 in (x+3)^13

A: An algebric expression of two number connected by operations "+" or "-" is called binomial. The…

Q: In x2 10) + In (9) = In (10)

A: Definition used-             ln(x)+ln(y)=ln(xy)

Q: Solve the initial value problem x'(t)=Ax(t) for t20, with x(0)=(5,4). Classify the nature of the…

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Q: I simplified 6. 3 - x + 5 7 1 + x - 4 3 – 6(x – 4) by multiplying by 1 and obtained - 1 + 7(x + 5)

A: We have, 3-6x+51+7x-4

Q: 08/298 1 4:2

A: Topic:-  Binary number system

Q: 22) Create an expression that can be used to find Zg in terms of Zd.

A: There are so many ways to create expression for angle g but final expression will be same for all…

Q: Is it true that GCD(6,14,119) x LCM(6,143,119)= 6x143x119?

A: We know that GCD(a,b,c) × LCM(a,b,c) = axbxc

Q: 5-1 2 Compute A-613 and (613)A, where A = -3 -3 A-61₂ = 3-7 1 1 www

A: