In n n + 1 а) аn b) an = n n 1+ (-1)" c) An 1 d)an n II

Q: 2. (a) Find integers a, m, n such that m | a and n | a, but mn /a.

A: .

Q: The following table shows the results of a survey of authors by a fictitious publishing company.…

A: Given data table is,New AuthorsEstablished AuthorsTotal…

Q: In (IR, Tu), if A = (3,5) n (Q – N) then A %3D

A: Given that in the topological space ℝ, τu ( the usual topological space )            A=3,5∩ℚ-ℕ Then…

Q: A = B = 2 (1) Find a matrix C which satisfies 3A + C = B. C = (2) Find a matrix D which satisfies A…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: の Cm (1av)ー lim XDO

A: lim   ((1+x)3/2 -1)/x x  -- 0 here 0/0 for so we use la hospital rule and differentiate above and…

Q: If | B| = m then n

A: We know that, If there are n elements in a set A, then there exists 2n subsets of A. The power set…

Q: Show that 1/2 1+ 72 2 1. i%3D1 Xi n-1

A:

Q: If P(A) = 4/5 and P(B/A) = 2/5, then P(An B) is

A:

Q: 9 IP A,Be Mnl(R) with A being nou-singular, show that (A-B) A-! CA+B) = (A+B) A! CA-B) %3D

A:

Q: (22) Prove: Sn: 1 ² + 2 ² + 3² + ... + n² = n(n+₁) (2nti) neN

A:

Q: 3. (Va² +1)* dz. Evaluate

A: Write radical in the form of fractions.

Q: f A is a 2 x 2 with det(A) = 5, then det(4A-1) = %3D 80 -) 20 16 5

A: We have to choose the correct answer from the options according to the given condition

Q: a) Evaluate: i) L{4t² – 5sint} ii) L-1

A: We have to use Linearity  property of the Laplace transform: Lf(t)±g(t)=Lf(t))±L(g(t)           and…

Q: 3243 - 3240 = (mod13) a) 0 b) 2 c) 8 d) 10

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: d14y ise =? (y(14) =?) dæ 14 13 Y =

A: y=x13

Q: In 3 et dt 49 + e2t A) 0.263 B) 0.038 C) 0.022 D) -0.038

A: Here I am attaching image so that you understand each and every step.

Q: alp heve fore, lasie closer together than a and "a and c" oY b and C"

A:

Q: 17 less than twice a number A) 17-n B) n - 17 C) 17-2n D) 2n-17

A: We have to write the expression of the statement "17 less than twice a number". For this, we have to…

Q: The differential equation ty' = cos² (y) is . ...linear, separable, and autonomous. O.nonlinear,…

A:

Q: - The sum of two different positive numbers is always A) a multiple of 4 B) even C)

A: We have to find

Q: 4 1 П 2i +1 (i – 1 i-2

A:

Q: 23 Q8 1- x²ldx | -2 1 a) b) 14 c) 3 28 d) 3 7/3

A: We have to  find the value of definite integral

Q: 2. Find n and a if: Inx² + In2= In ax"+1

A: Given equation is lnx2+ln2=lnaxn+1. We have to find the value of n and a. Used formula: lnmn=nlnm…

Q: %3D If X-N(50,10), P(X < 60) = ? O 1) 0.841 O 2) 0.159 3) 0.341 O 4) 0.659

A:

Q: traluate O T* 2T

A: To evaluate: L∫0tπ4e2πdπ Here, π is a variable. Formulas used: ddxxn=nxn-1∫exdx=exIntegration by…

Q: Find z-transform for 8 © x(n) = 5ucn) - 2 (055 un) = 5 e(n) - 2 (0-5) u(n)

A:

Q: d) Let N = {1, 2, 3, ...} and for each n E N, let An = {n, 2n, 3n, ...}. Find A3 n A5

A: Introduction: The symbol "∩" can be used to represent the intersection of sets. According to the…

Q: If X-N(50,10), P(X > 65) = ? O 1) 0.067 O 2) 0.033 3) 0.168 O 4) 0.832

A: The z-score can be calculated by subtracting the population mean from the raw score, or data point…

Q: When m = = 1, 2 4 (1 : 3) (² : 1) (² : 5). . m (m + 2) · 5) = (m + 4) (m + 3) =

A:

Q: 46 2 Evaluate ) ] ] xyz dzdydz 0-10 O A. 2240 2240 O B.8 O C. None of these 2240 O D.4 2240 O E.

A: Here we have to find the given integral value .

Q: a) In1/e b) eIn5 c) In1/3 d) 2Ine e) 5In1 and F) Ine1/3

A:

Q: Evaluate (3i)3 b) -27i a) 27 с) -27 d) 27i Select one: O (b) O () O (d) (a)

A: Complex number

Q: 4- 「メ-5

A: The detailed solution is as follows below:

Q: (m")(2*)(m)(m³) (m')(2) Simplify and then evaluate for m = 3 and n= 7. %3D O a) (m*)(2?) = 3969 %3D…

A:

Q: If n(A) = 62, n(B) = 19, and n(A ∩ B) = 4, find n(A ∪ B).

A:

Q: Which of the following power series must be used as the nonhomogeneous part for the given initial…

A: