2 2x (11) Jo x²-5 n 5 In 5 n 1/5

Q: 18 9s 52-4s+4 s2-4s+4

A: Consider the given expression. 9ss2-4s+4-18s2-4s+4   The objective of the problem is to simplify the…

Q: Find the interval of convergence for the figure below

A: 1. ∑n=0∞ (-5)nn!(x+10)n2. ∑n=0∞ n!(x+5)n3. ∑n=0∞ en(x-2)n4. ∑n=0∞ (x+4)n(n ln n)2

Q: 16. x-By o 4x+25 1t. ax-3731 -Cx+ayー3

A:

Q: S 2dx (3× +12メ -15)3

A: Given,  ∫23x2+12x-1512dx  We have to evaluate it.

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 6in. 10in E Zin. -

A: find the area of region

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: 31 In |x| + + In]x + 2| + C 8 4x 4x2

A: Given that: The integral is ∫4 x3 + 1x4 + 2x3= 18 ln x + 14x -14x2 +318 ln x+ 2 + C

Q: 8. If y = (x³ + 2x²)e2* determine an expansion for y(5). [y(5) = e2*2*(2x³ + 19x² + 50x + 35)]

A:

Q: 2. {x|x = -29° + n360°} = {x|x = 331° + n360°} where n is any interger.

A: (2) Given- x|x=-29°+n360°=x|x=331°+n360° To find- The above statement is correct or not.

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

A:

Q: In3 in2 4-ex xp- xV16-Inx 1 x Vinx In2 iv. Ino.5 e2x +1 1 O 2/22 O8-2/15 O 3 2 OIn 2

A:

Q: 15- (x + 5)lnxdx =? a) (-21/4) - 12In4 b)O (21/4) - 12ln2 (23/4) - 12ln4 d) O (-23/4) + 12ln2 e)…

A:

Q: use factoring by grouping to solvethe equations.

A: Definition used -         Factoring by grouping -         We can factor polynomial by grouping.…

Q: Find L-1 {In (1 + s²) }

A:

Q: 11) 4 In(2x + 3) = 11 12) 2e2x – 5e* - 3 = 0

A: Solution:-

Q: 6. Find f'(1) if Ax) = nx

A:

Q: 16 In x xу"(х) + ху (х) - у(х) - х> 0, у(1) %3 3, у'(1) %3D 1

A:

Q: (-1)"n²(x+3)" 2. 5n n=1

A: Radius of convergence

Q: x³ 3x²+5 (x-3) S - x³ - 5 In 1 x-31 + C Option 1 dx x³+5 In Ix-31+ C Option 3 x3 3 Option 2 x3 - 5…

A:

Q: 4. 43 + n+3 n'+6n+9 5. 부-부 x*+38 x-5 13x-2 6. x-5 7. *- у 3y 3 8. c+2 c-3

A: Consider the first expression:…

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=

A:

Q: Compute L^−1{ 2e^−3s/s^2+3s+2}

A: Given,            L-12e-3ss2+3s+2

Q: 2(x - 3) – 5x < x – 2 -5 -4 -3 -2 -1 012 3 4 5 O B. -5 -4 -3 -2 -1 0 1 2 3 4 5 +0+ . -5 -4 -3 -2 -1…

A:

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: In Problems 51–68, find the real zeros of f. Use the real zeros to factor f.

A: To find the Zeroes: f(x)=x3+2x2-5x-6 Solution: For zeroes ,substituting,f(x)=0…

Q: ーメ44 ifx 小0 2x-5 if OLx<3 fE) = Vx-2 if メ=3

A: Explanation of the answer is as follows

Q: 5(x−3)+11x=13(15x−3)

A: Given,           5x-3+11x=1315x-3

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: 1.5 Inx - In(x2 - 1) + 2ln(x + 3)

A: Logarithm simplification

Q: (322 +ス-) の by X-2 ス xx (x-r) coffiecients 9. 12 20 48 t1 213 x x² 3く t 6x tlox +24 10 24 47 x' ☆ R…

A: Factorial division

Q: 2.5х — 3.9у %3D 1.5 1.4x + 2.7y = 1.1

A:

Q: 1. Differentiate: y = 3(x²-1) А. (In 3) 3 (x*-1) В. (2х) 3(*-1) C. 2x (In 3) (3**-1) D. x²(In…

A: Given information: y=3(x2-1)

Q: 7. - + 7x - 3 = 0 8. x + 4v + 1 = 0 9. 2x = 7- x 10. 11 -0 11. 2 Sx-4 0 12. 2 7 -9= 0

A: According to the guidelines issued by the company We are supposed to answer only first three…

Q: (*+7X-1) the f1) - -Sz+4) If fo- is undefined

A: Here first of all we find factors of denominator which is ( X - 1) ( X - 4)

Q: determine all possible rational solutions of the polynomial equation.

A: (17).                            f(x) = x3 - 6x2 + 5x + 12Possible rational roots :…

Q: 4. x* - 8 + 16 = O 5. x* - 33 + x + 3x-2=0 6. x*- 3x - 15x+ 19x + 30 = 0 7.x-20-13x2 + 38x - 24 = 0

A:

Q: 13. Select all the products that are less than x 5. X5 9x는 @ e x 4

A:

Q: 3. 5 x4-Vx+1+x 2 8 3 8 5. m5 + ms - п5 -п5 по — п? 7 7 10 -1Е

A: Given,

Q: X-2y+2 = 0 8. 2x +3y + 18 = 0 10+ 10 10 sb loonbe s 26 701 8- -10+

A: Solving equations and graphing

Q: N is a 2 digit no with non 0 digits. When n is added to thrice its reverse,the result is 145  If…

A: givenN is a two digit number with non-zero digitlet, 'pq' be the digits in the number N.where 'p' is…

Q: (6) |5x +10|<0 (1) r - 1|<7 (2) 2x - 3|s 13 (3) 2x - 4|s 0 (4) 3x + 52 3 (5) 5 - 2x |211 (7) 3x + 6…

A: Given: 1) x-1&lt;7                               6.) 5x+10&lt;0 2) 2x-3≤13…

Q: 24. 2n(ar31) In(3 +1)-3n(x)

A: To simplify using the properties of the logarithm the expression given below:

Q: If y = -x-4/3, what is 4 321/3 -1/3 01- 45 3-76 4 32-7/3 dy 2

A: y=-x-43

Q: If s(n)=3n2−3n+5s(n)=3n2−3n+5, then s(n)=2s(n−1)−s(n−2)+cs(n)=2s(n−1)−s(n−2)+c for all integers…

A: Function represents the relation between dependent variable and independent variable. Function…

Q: 1. Σ n! n=0 (-1)"x²n+1 2. ) 2n + 1 n=0 (-1)"x2n 3.) (2n)! n=0 x2n+1 4. (-1)"

A:

Q: 2. 4s+32 s²-16

A:

Q: 5x + 1 If y = then y' will be %3D 2x-1 – In 7' 5(2x** – In 7) – (Sx + 1)+) A. (2x- – In 7)2 5(2x-' –…

A: Given y = 5x + 12x-1 - ln 7