12 -I Vk + 1 k=1

Q: 6 (स) ()5 (A) 9-(V) = xp(x),4 / If (3) =-I and h(1) = 5, then

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Q: 37.) Show all step to evaluate: SN NS /3-y² /3-y² dzdxdy

A: We have to find the value

Q: Q5: prove 1) e2-j3n-e² = 2) |e²| = ex

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Q: )- ニ ZS+ト 32 |ニ2+

A: To solve the equation: x+y+z=12x-4y-3z=9-3x+2y+5z=-5

Q: 2- -4 -3 -2 -1 2 5 X-axi 이 3. 4 6. -34 1. 1. e-A

A: Given line passing through the points 0, -2 & 4, 0.

Q: 3- Vn3 n=1

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Q: Find z-transfrm for (n-1) X(n) u(n-1) x (n) 5nucn) - 2 n (o.3) uci) 2)

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Q: b 2x 1! + 5x 2! + .+ (nt + 1)п! %3D п(п + 1)! + 10 x 3! + .. 2 3 + .. 1 n 1 + + + = 1 - 2! 3! 4! (п…

A: (b) Case 1 : n=1 2×1!+5×2!+10×3!+...+(12+1)1! = 1(1+1)!2×1! = 1(2)!2 = 2 Therefore, the result is…

Q: µ = 3, o² = 9, P(−6 < X <12) a. Determine P(µ − ko < X < µ+ ko) ≥ 1 − 1/k²

A: The question is about Chebyshev's inequality Given : μ = 3 σ2 = 9 So, σ = 3 .... by taking square…

Q: 6. If x = -4 and y = 2, then verify that. 7 (ii) - (x+y)= (-2) + Cy

A: 6 Given that x=−47and y=25. We have to verify that −x+y=−x+−y. First take left hand side -x+y…

Q: (1- k)cx b. Ck+2 (k+2)

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Q: 5. = P - p2 Ans: = cet dt 1-P

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Q: ate algebra and Theorem 7.2.1 t 3s 10 s² + 25.

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Q: to: explicitly state the te- Σ2/ n=1

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

A: The detailed solution is as follows below:

Q: 4 -512 + 8 dt. Evaluate Vi

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Q: neN's ;i- n(n+1) 2 JKI Ŝ i - n(n+1) لكل

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Q: (-1)" -Σ S. n=1 Vn+1

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Q: 2) ∞ και 2- N n=0 α 2-' Σ δ(t - n)dt 1-0 3) | 2-1 Σ δ( - nat n=-

A: A delta function is defined as δ(t-a)=0       for t≠a ∞    for t=a    . The fundamental property of…

Q: 10, n = 1 20, n = 2 46, п — 3 6T (п — 1) — 117(n - 2) + 6T(п — 3), п >3 T(n) |3D |

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Q: +o0 - Find Ul-1/i, 1/i]- i=1

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Q: 子6)= cosz- Ga82-1., XE Co, 2T].

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: 1. s(z) = -4z³ In(z)

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: 31. x - y = In y; (1, 1)

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Q: 2. [xy z] ム 2 2 6. Prove ît 4 3

A: matrix multiplication

Q: homogenous DE 3udv-vdv-udu-vdu=0

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Q: 22. 5n2 + 35 = 0 23. 2m2 + 10 = 0 24.4m2 + 76 = 0 25. -2m2 -6 = 0 raw-Hill Companies, Inc.

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Q: 2. Σ--1)k , k%3D k+1

A: The given sequence is ∑k=0∞-1kkk+1

Q: 1/2 Vtan(x) Vtan(x) +Vcot(x) %3D

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Q: Q2/ prove [A] [A] = [I] if [2 4 -5 [A]= 2 7 1 3 4

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Q: (2+7sin 2 dr 3. Co s 2

A: Given: I=∫2+7sin3zcos2zdz We know that the trigonometric identities; 1). sin2θ+cos2θ=12). 1cosθ=secθ…

Q: |10 11 V-B.h V3D

A:

Q: μ = 3, o² = 9, P(-6 < X<12) a. Determine P(u - ko < X <u+ ko) ≥ 1 − 1/k²

A: It is given that Mean = 3 And variance = 9

Q: 2.3.1. (3a³b*)³ =Bab 10 3D59 049 ab 2.3.2. (-4a³b²)° -4ab3+2 (24 - 43+ 82)2 4 44 4 2.3.3. 4. 4.…

A: As per the guidelines we can solve 3 questions only.

Q: 1 Σ Vn2 + k k=1

A:

Q: 1. V32m1ºn15 2. V25b2 3. V36t2 4. V50x3 5. V162x5 6. Va*b? 7. -8a6 8. 9. V4x2 10. V1Z 11. V54 12.…

A: Since, you have asked question with multiple subparts, we will solve the first three for you.(1)…

Q: 1) Let c. 1z_c)=4 and I = -82²_3 dZ. c 근림1 then Is 2IT i ?

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Q: 3. Let, a1 = 3,az = 4 and for n > 3, an = 2an-1+ an-2 – 5, express a, in terms of n. %3D %3D

A: An arithmetic progression is a sequence of numbers such that the difference d between each…

Q: 71 Compute Σ (5k2 + k - 3) i=1

A: Solved below

Q: 1, thên kX KX < ky

A: Here are real numbers such that if , then

Q: Graph the functions

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Q: If z2= -1 then z = i o -ic ±i -1 0

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Q: 3 Compute etA for 3 3 4 A = 1 1 -1 -3 -2

A: Use the Taylor series of ex to solve the expression. Convert the equation into matrix equation and…

Q: μ = 3, o² = 9, P(-6 < X < 12) a. Determine P(u - ko < X < µ+ ko) ≥ 1 − 1/k²

A: Given μ=3, population variance σ2=9, P(-6&lt;X&lt;12)=?

Q: 7. E(-1)"- Vn +1 n=1

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Q: 8, n+1 Zn(n + 2) n31

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Q: e-1 : Compute Lt 1+x-1,

A: