2. ÏI (1+n-13). n=1 00

Q: -3x Suppose /(x)- Evaluate: -3x 3- In (5) 3x 3- B. +C In (5) AIn (5) +C 3 517

A:

Q: (-1)*+1 1 = 4 ) 2n – 1 n=1 = 4 -+- + - 8.

A:

Q: 10 5n² + 5n + 2 an 5n5 + 6n + 3/n, k =

A: Given a series . We need to find a number 'k'. Let's start.

Q: -8 тӑт 11.J, 2 1-m4

A:

Q: n2 + 40 9. n2 + 3n +1 { Sn=1

A: We have to check sequence is increasing or decreasing, monotonic, bounded above or below or bounded:

Q: 5 4n + 15-n n= 1

A: Given :

Q: s(-1)n-1 In(4n + 5) 7 = 1

A:

Q: (п - 2)аn+1(2х — 3)п+1 + > ап-1 (2х — 3)"-1 n=0 n=2

A:

Q: 2 2 n(n-1)x", n²-n 37

A:

Q: 27. * Σ n(n - 1)anan-2. n=2 + n=0 and

A:

Q: P(Z -0.34) P(−0.25 <Z < -0.10)

A: (a)P(Z&lt; -1.12)=0.1313 From standard normal table,the graph is

Q: 27. I. = (7? + 4)³/2 - 8) × 14.55 } (x² - + 4)2 – 8) 2 14.55

A:

Q: 00 Σ (n + 1)²n (1 – n + 2n²)" n=1

A: We have to check whether given series is convergent or divergent.

Q: What is the z-score if µ = 89, σ = 11.5, and x = 82? -0.61 0.79 -1.21 1.37

A:

Q: 7 n³+9 3 n=1 6 n³ + 1 %3D 8.

A:

Q: 4. Knowing that 1 + 3 + 5 + …+ (2n – 1) = n², find 1++3 +5 + .…+ 135 =

A: Solution :   Given that  1 + 3 + 5 + ... + (2n - 1) = n2    -----(1)

Q: You have worked for a company for several years. Each of your previous years you received a raise.…

A: See the handwritten solution for

Q: 2 3 メキ3 %3D 3 SS412そ6

A: Given x232x+3634x+6 = 0

Q: (In (1)³ VA(1 + 4° ym) 3 (n) n = 1 8.

A:

Q: (-1)"+1(2n + 3) n + 10 n=0 8.

A: ∑n=0∞ -1n+12n+3n+10 Apply Series Divergence Test If limn→∞an≠0 then ∑an diverges limn→∞…

Q: 22.L{tsin (-2t)} O - (s²+4)? 2s (s² +4)° 8s 4s (s?+4)

A: Correct option is  = A Please find attachment for the details solution

Q: 8 6. Evaluate E n(3 + 2n + n2) n = 1

A: ∑18 n(3 + 2n + n2 ) if n =1 1(3 +2 +1) = 6 if n=2 2(3 + 4 +4) =22 n =3 3(3 + 6 +9) = 54 n =4 4(3 + 8…

Q: 4. z = -1.26 to z = 1.45 5. z = - 2 to z = 1.15

A:

Q: 4 Σ n2 +4n +3 - 9-n+24n+1

A: Separate the sum.

Q: 2. 24y-Se.99 3by S-15.27 S Sy-4S.11

A: Step:-1 Part (2):- Given system is 2x-4y-5z=8.993x+6y+5z=-15.275x+5y-4z=5.11 Method:- Jacobi…

Q: 2(n!)2 (2n)! n=1

A:

Q: Зп + 1, A) 2n 4 — 2п n=1 n1-3n В) 42n n=0 (-5)1+2n C) 25п-3 n=4

A: Here we apply different tests like comparison test and Leibniz test.

Q: 4. T(n) = 4T() + n 5. T(n) = 7T()+n²

A: We use here, Master's Theorem

Q: P(-1.18<z≤ _________ )=0.6327   2. P ( ____ ≤z<0.85)=0.6363

A: we have to find probability for normal distribution.

Q: 2x-26(5-+ 25=0 1 25 0 2文+1 26 (5*) +5 = 0 2. 3(3)+e(3*)-3= 0 12

A:

Q: 4m'n 23) -32 4m n 3mn 24) 4m 342 25) 3u0 26)

A: In algebra, to use numerals, symbols, and letters called variables, or pro-numerals, and…

Q: 6. T(n) = 2T(n/5) + T(3n/5) +n %3D

A: We have to solve the recursion, T(n)=2Tn5+T3n5+n The recursion tree for this will be as follows:…

Q: 4 3 1 + S2+4s+4 + s2+2s+2 53 1.

A:

Q: 1 2. Find L-1 [ s2-8s+25

A:

Q: Determine ¹ I 5s +1 s²-s-12)

A:

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: 3n n² + 7 ) n=1 ather means

A: Given   Root test

Q: 8 L N == ャ I 5 4 2) 2 1 8 16 N =-+ - 8 2. 1. 3)

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: ( − 1,1) n [04]

A: To find intersection between given two intervals.

Q: 4β) 5 482/25 28 -10-t(n-1)

A: Random variable can be α=4,β Mean and variance can be, E(X)=αβ=4βVar(X)=αβ2=4β2 Size of sample is…

Q: (16) s: 5: 2n + 1 n=0

A: In this question, the concept of sequence and series is applied. Sequence and Series A series is…

Q: 13 + 33 + 53 + + (2n – 1)3 = n²(2n² – 1) - ... Ensure that you explain the steps taken.

A:

Q: 3. Evaluate |(n + 1)! - (n + 2)!|, where n E N.

A:

Q: 2. n+ 3 п — 14 n +1 п? — бп — 16 + n? – 4n – 32 - | n? + 6n +8

A: The given equation is: n+3n2-6n-16+n-14n2-4n-32=n+1n2+6n+8

Q: Suppose the final score in a hockey game is 4 to 2. How many possible scores are there after the 1st…

A: Team one had 5 different possible score total at the end of the 2nd {0,1,2,3,4} Team two had 3…

Q: 26. 2(0.1)5 + 2(0.1)6 + -…- +2(0.1)13

A: To Find: Sum of-       2(0.1)5+2(0.1)6+ .... + 2(0.1)13     NOTE :For r≠1, the sum of the first n+1…

Q: Since n.n=1 and n-n2=(2/2)/5 then n3 +3/5 %3D

A:

Q: 4 Find the 2nd partiol deriratives of 3x*y+y-4x+7 2

A: According to question, Let fx, y = 3x2y + y3 - 4x + 7

Q: 3 n2 + 9n + 18 n=1

A: