5-4cos(n) %3D and bn 9. %3D n2 Let an n2+1

Q: n of the system. You will need to use E Iculator to do this problem, 7.13 y = - 7.77952

A: We have to find the solution from the given condition by using graph

Q: 2. Suppose ALXry) = 2xy-ix"y. Find D.A

A: We have to find out ∇.A

Q: ( a ) Ση-1 (b) En=2 n7-1 15n-2 (c) En=1 11n+3 1 (d) Σn1 n14 (-1)" (e) En=1 7n+4

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Q: (-2)"+1 n+ 5" (2n)! 2n - n! - n (a) (b) (-1)". n=1 n=1 (c) E(-1)": (n!)'3" (2n + 1)! (d) 5 (-1)"…

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Q: 26 E(- 1)"2n - %3D n=0

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Q: If (ar + br) 4n and n+1 k-1 E(ak - br) 1 then ar = | n+2 k-1 k-1 3 5. None 2. 72n/2

A: use elimination method Find limit for n tending to infinity.

Q: 5. (5 – x)² * 6 Show that if y=3-x then %3D 6. . (x-s) _ xp 1. dx. 3 Hence, find the value of , 2(5…

A: In differentiation use quotient rule In integration use substitution

Q: If (ar + br) = 2n %3! n+1 and k-1 8. E(ak - br) = n+2 - , then ar %3D k-1 k-1

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Q: TL ( - k) = | k-1 a. 6n + (n + 1)(2n + 1) - b. n(n + 1)(2n + 1) c(n²-1) C. O d. n3 e. 00 f. 플 (n +…

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Q: Q5 Show that EL >². n n =1

A: Consider that x is a random variable. From the formula of population variance;

Q: п-1 k n-2 n-1 n-2 () x6n-10 = p %3D k - 4 X6n-9 = 4 n-1 n-1 n-1 k n-1 X6n-8 = h X'6n-7 = P k n-1 n-1…

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Q: -n+1 Xn 4 Xn = A Lyn -1 6 . Pn+1 –1 by using the method of elimination. II

A: Given:- xn+1yn+1=Axnyn=24-16xnyn

Q: y + 5xy + y = 6 In x + 4 where y (1) = -1, y (1) = 1 -1 +x - + 20 ... 7x5 -1+ 주 - (x-1)4 + 12 (x-1)7…

A: Taylor series of a function f(x) about x=a is given as following:…

Q: 9. at eab the 2a 3b gz ub ax

A: The detailed solution is as follows below:

Q: Identify the two series that are the same.

A: In order identify the same series, just write the few terms of the gives series as follows. (a)…

Q: 1 I3 = %3D fals true

A: we need to find the given is true or false.

Q: 2n [3] (b) E for n 21 2k k=0

A: Answer

Q: (-1)"n²(x+3)" 2. 5n n=1

A: Radius of convergence

Q: -4 -2 Let E= 0 Find 2E. -3 5

A: Given,  E=-4-204-35

Q: E-o(-1)"(n+ 1) x“ = (1+x)² 1 2.b) for |x| < 1 %3D n=0

A:

Q: -ges 3n +n 9n b) L7-2)n+1n n! n=1 (-10)" d) 242n+1(n+1) n2 (2n – 1)! n=1 0=

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Q: 4. f(n)= (3n- 2)² 5. f(n) = 220-1 %3D

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Q: 9. E (-1)* "´x" 2" 10. n=1 brex" 11. Σ (-1)" 4" In n 12. n=2 onul nsa (-3)" 00 13. У

A: Radius and interval of convergence

Q: S十4 ナ3y = n %3D

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Q: Xn+1 = f (n, Xn-k), n = 0, 1, · · ..

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Q: :find E10 (-1)(n-1) Zn=1 (n+1)2 %3D1

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Q: 2n zn こ (n) n:0

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: ) = 7- 2x [1, 2] %3D s(n) = 5(n)

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Q: (AB) = 30 (АВ) 3D 10 Calculate the Coefficient of Collignation. Given (aß) = 5 (а.В) %3D 5

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Q: (5) Show that T(n)o(n) > n for all n E N. 11

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Q: Identify the two series that are the same.

A: We have to find which series are same. We have given series…

Q: Find the radius of convergence and interval of convergence of  Σ 1 to infinity…

A: Given

Q: 4 The value of 3n2 will be + 6n .... n=1

A: We use partial fraction method to find the required sum of the series.

Q: 5x + 1 If y 2x-1 - In 7' then y' will be II

A: y=5x+12x-1-ln(7) In this we have to find differentiation of y. We know, ddxuv=vddxu-uddxvv2

Q: 1. Here is a diagram showing a mixture of red paint and green paint needed for 1 batch of a…

A: Given The diagram shows one batch of a particular shade of brown.

Q: 2" (a) 3 3n+1 (c) E(-1)"; 4n n=1 (b) 3+5n² (4) E n+ n2 n=1 n=1

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Q: n2 for all n E N. 4n Let r, :=

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Q: For numbers 1-5, let X equal the larger outcome when a pair of fair four-sided die The pmf of X is…

A:

Q: The fourth term in the expansion (2r + y)' is

A: The equation for the combinations n taken r at a time is equal to Crn=n!n-r!r!.  The continued…

Q: |2(1.16)* a. red (R) |2(1.46)* b. green (G) Ev 3(1.16)* с. blue (B) - |2(0.66)* d. orange (O)…

A: At x=0. The 21.160=2, 21.460=2, 31.160=3, 20.660=2, 20.850=2 Hence the orange line is 31.16x. It is…

Q: 2.if x, = 0.3 , xz = 0.5 , x3 = 2 x4 = 3 then E12x, =17.6 O F

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

Q: TL 72 Select all of the following that are equivalent to Σ (2) + Σ(3k + 1)? k 0 k=0 m+1 A. Ο Σ (3k +…

A: We have to select those summations whose value is equivalent to ∑k=0n2+∑k=0n3k+1. We can re-write…

Q: 8. Evaluate D = 3 2 4 4 0 7 9 -2 -1 -8 -3 3 5 6 9 5 9. Check your answer in item 8 using any method.…

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Q: IfΣ (ak + bk) 4n and n+1 k=1 E(ar – bx) +, then Eak %3D | n+2 k=1 k=1

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Q: -15 ス=スーカー3;w>え崎-k md 。 d o えしデx2) ) 1パx悩)1,) (穴応)し花っ2) - %3D A. 一

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Q: 6n_ and If (ar + bx) = n+1 k-1 , then 1 (ak – br) = 712 n+2 k-1 k-1

A: If ∑k=1nak+bk=6nn+1 .......................(1)  and  ∑k=1nak-bk=nn+2-1n ......................(2) we…