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

Q: Let A be 4x4 and det(A)=3. Then det(24)=. and det (A" A)=.

A: Given A be a 4×4 matrix and detA=3

Q: The expansion of (1 - x)® = A 1+4x - 7x² + . B 1- 4x + 7x2 - C 1+ 4x - 7x2 + Đ 1- 4x + 7x² – 23.

A: Please see the explanation below

Q: Proved Ax (BNC) = (AX B)n (AXC) %3D

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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: Write the binomial expansion for (x+ 2y)*. (x + 2y)* =D

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Q: Find the 3rd degree interpolating polynomial by Newton's backward formula X f(X) Af(X;) A²f(X;)…

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Q: What is the “binomial coefficient of (11/7)? calculate. show how.

A: Given information- We have given- (11/7) = C711 We have to find the binomial coefficients.

Q: 2. Prove that if a, b e R, then (a) -(a + b) = (-a) +(-b), (c) 1/(-a) = –(1/a), (b) (-a)·(-b) = a ·…

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Q: 10. Use the binomial theorem to evaluate (2r³ - y) 5.

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Q: I (Inx)³ nx-X

A: Let u and v be the function of x  Then∫uvdx=u∫vdx-∫(dudx∫vdx)dx

Q: Find A x B x C where A = {2, 5}., B = {13, 17}, C = {0} . O (2,13,0), (2, 17,0), (5, 13, 0), (5, 17,…

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Q: Find x and y such that,  77815x - 8216y=(77815 , 8216

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Q: Use binomial theorem to find the constant term (x-1/x)*8

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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: Expand in binomial theorem (2x-y)7

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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: Use the Binomial Theorem to expand and simplify (y2 -2)3 (y2+2)3.

A: Given expression is y2−23y2+23 We have to expand the expression y2−23y2+23 by using Binomial…

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

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Q: Use the Binomial Theorem to expand: (x- 2y)* a. x* - 8x*y + 24x²y² – 32xy + 16y* b. x* - 16y* c. x*…

A: Expandx−2y4

Q: Suppose Var(X) = 83, and a = .57. What is Var(aX)?

A: The objective of this question is to find the variance of a random variable that has been scaled by…

Q: Given f(x)=x + 2 and g (x)= 4-x^2 , find the following 1) (f*g)(x) 2) (g*f)(x) 3) (g*f)(-2)…

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Q: find the value of x in (1/(3x+1))+(1/(x+1))=(1/(3x+1)(x+1))

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Q: . What is the coefficient of ?^4 when (3+4x^2)^3 is expanded?

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Q: (55-3)(13.3)

A: Answer and explanation is given below

Q: Let fé)--을(t)6. Eveluate f(-8) %3D f68)= ? %31

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Q: Show that * y = (y² – r*)(2² – x*)(2² – y³)

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Q: Find A and B are independent, positively associated or negatively associated, in each of the…

A: ANSWER: From the given data,

Q: Example. If A(x) = 2* , find f(0), A3), and A-4).

A: According to the guidelines, I am answering first question. Please repost the remaining. Explanation…

Q: ! = [2, 2, 4, 2, 2] =

A: Just notice the method of writing denominators carefully.

Q: find

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Q: Find the middle term in the binomial expansion of(x-3)".

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Q: 11. Summarize the Intermediate Value Theorem for Polynomials in your own words.

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Q: APQR = R R(R(AABC)) Given the fact that the coordinate plane below, which single-transformation and…

A: Given: Triangle ABC…