Find the value of  n! (n − r)!r!  when  n = r.

Q: (5) 7(3k – 1)² +26(3k – 1)–8

A: On simplifying the above expression,we get

Q: Evaluate. n=1 2n+4 7n

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Q: if YZi and XZi are standardized variables. and we regress YZi on XZi. and n=30, o=20, and…

A: For a standardized variable x,  sum(x) = 0 and standard deviation = 1 which implies mean of x = 0…

Q: 1+ x Σ Aa" (1 – 2)? n=0

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Q: Show that Z10 = ⟨3⟩ = ⟨7⟩ = ⟨9⟩a. Is Z10 = ⟨2⟩?

A: We have to find the condition according to the given condition

Q: xp xペ-4xt13

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Q: Expand and simplify    (i) (2k − 3)(k − 2)

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Q: a. 3.2F> Fn+1 for n23 [Solutions and final ans

A: We need to prove 2Fn>Fn+1 Now, we have formula for fibonacci sequence is Fn=Fn-1+Fn-2

Q: Evaluate p = 12 || x₁ + x2 n₁ + n₂ for x₁ = 2, X₂ = 15, n₁ = 53, and n₂ = 34. (Round to four decimal…

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Q: n=2 n (2n — 1)!

A: The given expression is an infinite summation, where the indexing variable "n" starts from 2 and…

Q: 00 8tan-in Zn=1 n3D1 1+n2

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Q: Find A.

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Q: If n(A) = 42, n(B) = 15, and n(AN B) = 1, find n(A U B).

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Q: Show that n*-n3.5+300n + 234n²log n³ + nVn10 e 0(n*)

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Q: prone 2 + 4 + 6 + + 2n = n(n+1). for every nz 2.

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Q: P show that (α) |=1 = 12/

A: A detailed solution is given below.

Q: n² -1) 2n³ + 1

A: ∑n=1∞ -1nn22n3+1 use the alternating series test an=n22n3+1 an is positive and monotone decreasing…

Q: Which expression is equal to E (2" + n²) k-1 n=2 O (2" + n?) +D ¬k-2 (2" + n2) n3D2 nk-2 O (2*-1 +…

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Q: 1ン ーr-- 1-

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Q: Find n if 2P(n, 2) + 50 = P(2n, 2) note: P(n, k) = nPk

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Q: 4. Find the first three terms of (2x - 5)20. What is the coefficient of x¹0? …..

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Q: j2 -j3 2 Determine 1+j)

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Q: . n > 5 only if n > 7.

A: Given that n>5 only if n>7

Q: S 2x-5 x²-2x-8 dx

A: Given The Integral is  Aim:To evaluate the Integral.For a given function   and its derivative, the…

Q: Show that E(r(r + 1) =- n(n + 1)(n + 2), n E N.

A: We have to show that ∑r=1n(r(r+1))=13n(n+1)(n+2)           ∀n∈ℕ

Q: Which of the following is true? Select one: a. (n+1)= n(n) for any real number b. г(n) = n(n+1) for…

A: The objective of the question is to determine which of the given mathematical statements is true.

Q: Find the value of n(A U B) if n(A) = 8, n(B) = 13 and n(A n B) = 6. n(AUB) (Type a whole number.) =

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Q: Q3. Expand and simplify (i) (2k − 3)(k − 2)

A: The given data is  (2k-3)(k-2)  Now I will simplify this

Q: Which of the following expressions is represented Σ (-1)* (3k - 2)? k=2 A. 4.7 10.13.16 . B. 47+…

A: Step 1: Substitute the given k values from 2 to 6 (we know the values of k from the values above and…

Q: For which values of n does n! have n or fewer digits

A: Solution is as follows

Q: Determine the value of n if it is known that (n + 1) P 3 = 24 {n C (n - 4 )} а.

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Q: Find 3|X| + 12

A: See the attachment

Q: いーx)dx

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Q: Is A = [ -5   5   1 ]            [ 0   1   -1 ]            [ 1   -1   0 ] the A-1 = ?

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Q: |z|^2=12-|z

A: |z|2=12-|z| We need to solve for z

Q: If n is an odd integer, then the floor of n/2 = (n-1)/2.

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Q: 1 (-i)ū

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