Let (") denote the binomial coefficient (also written as C(n, r) or nCr). Then (,",) + (;) =

Q: Compute the following: (a) 4!, (b) (), (c) (₂), (d) (), (e) (7), (f) (2)-(2) where n is a…

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Q: 5 ¹ (²³) = O t^(6)/36 O t^(5)/24 O None of them O t^(4)/6

A: The given inverse Laplace transform is .We have to find the inverse Laplace transform.

Q: Why is it necessary to get acquainted with the sigma notation's properties?

A: Yes, it is necessary to get aware of sigma properties . It help mathematics to improve itself.

Q: Denote by X₁1 the operation "multiplication modulo 11" where a X11 b is the remainder when a × b is…

A: The given set Z11=0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. To construct the multiplication modulo table,…

Q: 5. Show that () = () +().

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Q: Given P(A|B) = 3 P(A|B°) , P(A) = 0.02 and P(B) = 0.25 a) Find P(ANB) b) Find P(B|A) c) Are A and B…

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Q: Find 1 (9) Lp(p – 1). p(p²-1)3 (10) L-1 (p2+1)2,

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Q: (1) How much is 0! ? (by convention on). 0!

A: (1) Given

Q: If n(Ax B) = 620 and n(B) = 31, find n(A). n(A)= n(B)= @)(::;:233)5

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Q: What is f(1)? 3- 2. 3.

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Q: Find x, y, z, and w. x y z 8 (x + 7)] = [ (2² (2x - 3) X -1 W (9 + y) -8

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Q: (ii) w* +1 – 8(@) TOEY 4 2.

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Q: 38-16.31+(-11.9))-[-0.76+((-16.6)-(-17))]

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Q: Could you please explain what happened in b and where the 1/2 came from

A: The formula is given by:       xn+1=xn2                         ..........1 Using equation (1), we…

Q: Indicate the least integer n such that (3x5 + x²)4 = 0(x¹). E

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Q: Let 1)" Find sup A and inf A. Provide some explanations how you got their values or why they don't…

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Q: (55-3)(13.3)

A: Answer and explanation is given below

Q: Find the coefficient of x11 in (x2 - 3x) / (1 - x )4

A: Solution:

Q: 2. Show that 1 2 = (1 - )( - )(? y)

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Q: 2020-21 Algeb.► Briana Berisha - Topics8H Q4-2 - 20-21.pdf Simplify 2x 4 19. 2x + 8 a. ズー2 C. X + 4…

A: To simplify the given expression.

Q: let s be positive integer, then (2) + (;) = %3D

A: sC5 = s!/5!*(s-5!) And sC6 = s!/6!*(s-6)!

Q: Part C. Identify the solution to the following equations in Z₁1. Provide a justification or a…

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Q: dx (1)(- 2e * )

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Q: Given (xi , xi2022 i ) ∀i = 0, ..., n, where x0 = −1, x1 = 0, x2 = 1, x3 = 2, ..., xn = n − 1. Write…

A: Given xi,xi2022∀i=0,1,2,...,n  Where x0=-1, x1=0, x2=1, x3=2,..., xn=n-1

Q: Use the Binomial Theorem to expand the expression (3x + 2y). Show your work.

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Q: Let A %3D [1 2 -3]. В %3D [-1 4 2], and C = [-3 0 1]. If possible, compute the following: (а) АВТ…

A: *As per our guidelines, we are supposed to solve only the first three problems/subdivisions. Please…

Q: What is the coefficient of x in (x-3)7

A: To find the coefficient of x4 in (x+3)7.

Q: Prove: If |S| = n then |P(S)| = 2^n

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Q: n Show that (") = (,“,) n-r.

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Q: B = (!!) : (AB) = BA +₁+

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