3. Detemine L i2 l(s+2)*S

Q: f(x) * a = 49 (2n – 1)! 2". 72n + 1 + (x – 49)" n = 1 1 ㅇ윽+>m.72n+ 1.n! 1 (x - 49)" n = 0 1 1:3.5.…

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Q: -¹ { ₁ 1 (s-1)(s+2)(s+4)) Evaluate L-1

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Q: 13.Show that the third-order Adams-Moulton formula is yn+1=yn+h12(5fn+1+8fn−fn−1).

A:

Q: a=t). CTaylon Serie) 2-X Ln +x) (MacLurinSeries

A: We need to find the Taylor series of f(x)=12-x at a=1. Taylor series of function fx at a is defined…

Q: 23 4- [fe** dycdx ans :(e' - e' )(e² – e') 12

A:

Q: Example 7.13. Apply Bessel's formula to obtain y25 given y20 2854, y24 = 3162, y 28 = 3544, y 32 =…

A: Here we need to use bessel's formula to solve this problem.

Q: sion By A knawn x²-5x_x+5 ーちメメ -X cr ar

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Q: ntiderivative. 7x x² -x-2 OB. In x + 1|-In x- 2| + c 14 .7 14 In x +1- x +1 In x-2 x- 2 3 3 14 7 OD.…

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Q: S cscycoty 1+cacy dy Select one: OA. - In (1+ csc y) + C OB. In (1+ csc y) + C OC. In² (1+ csc y) +…

A: Given problem:-

Q: 2 x³ dx -6 √x²-9 Evaluate O44√3 24√/3 34√5 34√3

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Q: 7:37 PM Thu Feb 10 2-3-3 Learning R HC RD 4 COH - 65 mRD =

A: Given:

Q: 3. x In x A In С п IInxI + С - + C Inx B D In I In xI + C Inx

A: ∫πx ln xdx

Q: 67. Find a reduction formula for e- dx

A: Given that ∫xne-xdx find the reduction formula

Q: 2) S . dr V-1

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Q: 2. sin anod 2 -1)+2) u 2U!S o47 7.

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Q: Seaet =1+ e* + e3x + e(n+1)x enx +esx. n! sx € (0,e*) | ... 2 (п + 1)!"

A: we know that ex=1+x+x22!+x33!+........................+xnn!                      ..1

Q: 6) calculate In (2e°)= 11 2= 0.7n 3= 1. || ln5=1.6n7=20 %3D n(2e°)=X L ex =In 2

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Q: nson meth x-1 = 0. I

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Q: 38 4. Find L-1[e+7)]. '(2s+7 s2+16 5. Find L-') 6. Find C-1e (s–3)(s+1) 7. Find L-1 24e-5 82-9

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Q: 33. (a) L²₁ let - 11 dx r3

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 1/2 S x²√1-x²dx. 0

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Q: 1) Evalúe a) csch (In 3) b) cosh (0)

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Q: y ev = z - 1: y (2) = 0 O = In(z² – 2x + 1) O = In(z? – 2z) + C O = In(z² - +1) O = In(z² – 2z)

A: The differential equation is given by yy'ey2 = x-1 The initial condition is given by y2 = 0 To…

Q: Question 18 dr Evaluate: z O 2 3ln(7/5) 03 In() O 1- 3 In(7/5) O 2+3 ln7

A:

Q: 6. S csch (In z) + coth (In z)csch (In z) z coth² (In z) dz

A:

Q: 2. Z=e Iny

A: Given that, z = ex ln y x = ln (u cos v) y = u sin v We have to fin dz/du and dz/dv. Then we get,…

Q: 98 unfornly distributed the death cre CHX+h) then nen 2n+n M Prove t 2+h pmx

A: If the deaths re uniformly distributed in the interval (x,x+n) Then  qnn=2n*Mxn2+n*Mxn suppose qnn…

Q: Calculate the residue of eZ.e-5=0

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Q: 14. s(1 + VE)dt +tVE ds = 0; when t = 1,s = 1

A: Firstly , separate the given differential equation and after that integrate both sides.

Q: 2. Let X~N(u, o2). Show that the MGF of X is etHtc²a².

A:

Q: Eva 6 SSin'z osx dy

A: ∫undu=un+1n+1.     cos2x+sin2x = 1

Q: dx = In|x| +C^O .BO In|x - 1|+C ® O 5ln|x|+C°O 5In|x-1|+CDO

A:

Q: 4. Compute the exact value of (-1)"(n+2) xn+1 Ln=0 2n+1 (nt1) 100

A: The geometric series formula is ∑n=0∞rn=11-r, where r<1. Break the numerator of the given…

Q: 9=1-5t Gas. d= o ans

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: O O 2x4 1,34 dx +1 NIS In[x5 + 1] + € C In[x5 + 1] + C 5 In[x 5 + 1] + C In[x5 + 1] + C

A:

Q: 10:29 ll LTE O True or False 11. If two figures are congruent there is always just one way to…

A: Statement is given  We have to define it is true or not

Q: 21x - 42y = 42 176x + ay = 352 What is this exceptional value for a?

A: Given 21x - 42y = 42 176x + ay = 352

Q: 8 4 SS e*dædy O e16 – 1 e16 + 1 *+1 el6 2 O 2e16 – 1 O 2e16 +1 O el6

A:

Q: {In(8n+1) – In(4n +5)} 20. b. 0 c. In(2) d. In(5) e. Divergent а. 2 с.

A: ln8n+1-ln4n+5 Now, limn→∞ln8n+1-ln4n+5=limn→∞ln8n+14n+5…

Q: # 8.) (8 # dy + Bernoulli s D.E, dx - 3xy2 dx =0> DET. THE GEN, soL'N OF THE D.E.

A: As we know that; The standard form of Bernoulli's equation is; dydx+Py=Qyn Where; P& Q is the…

Q: t least one of these components will need repair within 1 year nnonont anir within 1 uear

A: Given See the handwritten solution

Q: S (In x)²dx A x (In x)² + 2x In x + C C x (In x)² – 2x In x+ C в x (In x)² + 2x In x + 2x + C x (In…

A: Let,I=∫lnx2dxI=∫1*lnx2dxApply integraion by…

Q: 3. A ceramic insulator is baked at 400o C and cooled in a room in which the temperature is 25º C.…

A: Follow the procedure given below.

Q: dx x In(x4) In x4+ C -In h (In x4) + C -In In x + C

A:

Q: Apply Heaviside's expansion formula to 3s +1 (s− 1)(s²+1)

A: Here we have to find the Laplace inverse of 3s+1(s-1)(s2+1) i.e. L-1[3s+1(s-1)(s2+1)] by applying…

Q: Evaluate O |x + 1/² |x - 21³ O 3 ln x²-x2 + C In In In O In x+7 x²-x-2 ·S B +C |x+2/8/3 |x-1|5/3 |x…

A: This question can be solved using the concept of partial fraction.

Q: L[u(t - 4) (6 - 16 6')] = 16 (x-In 6) (-In 6)2 O s* 5e 30 +. (s-In 5)2 (s-In 5) O 6'e 4s 2. 8. (s-In…

A: Lapalace transform satisfies linearity property, La·ft+b·gt=a·Lft+b·Lgt By laplace transform table…

Q: n +1 5n An bn n + 2' 4n2 – 3' { 400/n -1/(400n2) n even { Į 7 n/(1+n²) 1 901 п оdd Cn dn

A:

Q: Detov Mine the integral S 2.2. 2.

A: To determine the integral

Q: 2.7 where t is the time in months after the virus was first detected. 1+14e 0.761'

A: Here we have,  The number of computer N(t) (in millions) infected by a computer virus is,