4N2 13 ds NG4-s2

Q: b) (-1)"3n² 4n²–1 n=1

A: We will use root test.

Q: 6. Σ. 4n² - 9 n=1

A:

Q: L{tcos (-4t)} 16-s2 (s²+16)² s2+16 (s2–16)? - 16+s2 (s2-16)* s2-16 (s2+16)*

A:

Q: -25 (1+j2 2-j5 ) = 57 + j24 2 \3+j4

A: We need to simplify the expression -2521+j23+j4-2-j5-j and show that it is equal to 57+j24 Consider,…

Q: |x - 2| + 6 s 12

A: To show the solution on the number line

Q: s2-s+3 2. s3 (s+5)(s-2)

A: Given: s2-s+3s3(s+5)(s-2)

Q: (0-4)de (0+5) 2.

A:

Q: Between z= -2.42 and z=-1.77

A: We have to find area Between z= -2.42 and z=-1.77

Q: Evaluate } L 3s+1 -1 s2 +6s+13

A:

Q: 2n hニ1 ちn-3

A: Divergence test: Let an be a sequence of real numbers. If limn→∞an≠0 then the series ∑n=1∞an…

Q: 2(r+s) 98(t-5)2 7(5-1) 14(r+s)

A:

Q: 10) ģt-»r) 1+ n ° 2 + n a=1

A:

Q: 67. s(t) = -1 - 4t; s (-2)

A:

Q: CH 10 2-How would you interpret: z = 3.49, p < .05 ?

A: The standard normal distribution: A continuous random variable Z is said to follow standard normal…

Q: b) -28 2s se s² +8s +32

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: A=D-5 2 9 4. what is A-'?

A: The inverse of the matrix is given below :

Q: 3) PR = 2n+ 9 7n-18 R 4) n =

A:

Q: -2 メ S-1 2メ-1 <メくS こa 2メ 0<メン メ メ フ」

A: we have to draw the graph

Q: FIND S + 4 (s² – 8S + 6) -

A:

Q: Find 24e-5s L-1 S s2 – 9 s2 + 8s + 17

A: Given to find L-124e-5ss2-9+ss2+8s+17 For this, we shall use the following two theorems: First…

Q: N +2 t4 3 V

A: "Since you have multiple questions, we will solve the first one for you. If you want any specific…

Q: l-1 s + 1 ع أما (3 – s)2ی

A: L-1s+1s2(s-3)=?Lets use partial fraction decomposition Let  s+1s2(s-3)=As+Bs2+Cs-3

Q: Find a21 of A-1 Find a22 of A-1

A:

Q: (i) L-1 (i) L- s-5)

A:

Q: a1 = -31, d = -7, n = 5 O-231 0-230 O1-225 -240

A:

Q: -1 Find L s2–18s+40 s(s²–6s+10) |

A:

Q: inn (Q4) = D4 OZ2 O Z2 Z4

A: we have to solve given problem:

Q: 8s2 - 5 ds s3 1. 5 * 8s? - 5 ds. .3 1. on

A:

Q: 4 Find L-1 (s-5)3,

A: According to inverse transform rule, If L-1{F(s)}=f(t) then L-1{F(s-a)}=eatf(t)

Q: L-1 { S2-2S+3 / (S-2)3 }

A:

Q: 5n 1) y=-2 + 4cos (40 6.

A:

Q: (-1)" + 2,3 an n3 + 4n2 + 6

A: we have to find limit

Q: S L-1 s2-4s+13)

A: Rewrite

Q: s(4 - 4) dz 1 2. Evaluate (

A:

Q: L-1 s2 +4

A: We have to find the inverse Laplace Transform: L-12s2+4

Q: 2s² + 10s 4. Find £¹2-2s +5 (s+1)]

A:

Q: ау 6. S e2y-2ey

A:

Q: 3. n2 + 7n + 10

A: The telescoping series ∑n=1∞3n2+7n+10

Q: = (ª*,2 n(n+D2| 13 + ...+ n³

A: We will prove the game statement by using the principle of mathematical induction in which we show…

Q: 2s – 4 (s² + s)(s² + 1) 2

A:

Q: (d) 2. +2 = 0 (e) In enz – 1ln r - 4 = In 3 |

A:

Q: 7. r= s°(9 – s²) 8. y= 2-3x)* (2 — 3х)*

A: For two functions u and v then uv differentiation formula is ddx(uv) = udvdx + vdudx…

Q: 2-1 Se s s + 10s +26 2 S (t)=

A: We need to find the inverse Laplace of the function se-ss2+10s+26 We know the following formulas for…

Q: Simplify:  (3+ 2n2 +4n4)+ (n3 − 7n2 − 4n4)

A:

Q: 7n3 + 2n An Зп3 — 4 3n3 - 4

A:

Q: 12. [*[*(v³² + y) dady

A:

Q: Q.5) (a) Evaluate L-! 2+6s+9 (3-1)(s-2)(s–4

A: First use partial fraction then take inverse laplace transform

Q: 3S-3 -1 5- s²+2 S+5

A:

Q: s2 3- L-1 (s-2)2.

A: Take a partial fraction

Q: L{12te-³t} 12 a. (s+3) 12 b. (s+3)² 1 C. (s+3)² 12 d. (s+3)³

A: