5 - y || 3.

Q: F(s) = (8s + 11)/[(s-4)(s²+9)] %3D

A:

Q: x - 5y = 5 4х - 11у %3D 29

A: The given two equations are as follows. x-5y=5…

Q: у' %3D 2(2х — у) at (0, —1)

A:

Q: (a) Y(s)-e-5s (85-3) s²+6s+12

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: f:R - R S6 – x2 x 2 1 x < 1 fx 4x + 1 x=1, x= -1-

A:

Q: 6) y = (4 - x2/3) 3/2 from x = 1 to x = 8

A:

Q: y = In(x + 2) at [-1,2]

A: The given problem is to find the interpolating polynomial for the given function within interval…

Q: 5. y² = У X x-1

A: Solution is here

Q: 3x-x2 +6 Xo = 1, thôn x2 %3D %3D

A: answers  when x0 =1 than x2 = -3.2352 when x0 = 5 than x2 = 4.3728 detailed solution with…

Q: 3s +25 5) y=L-1 s² +6s+13

A: In the case of multiple questions we are ordered to solve first unless asked specific one. So I am…

Q: lim 2h - 3h2 +h+10= %3D О а.3 O b. 0 О с. 4 O d. 5

A:

Q: 4 y = (x +3) Lax-1)

A: Since you have posted multiple question as per guidelines we can solve only one question at a time…

Q: 3s +25 5) y=L-1 |s²+6s+13 ]

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: determine L−1[F].

A: Given that, Taking inverse Laplace transform from both sides, By using L-1{aF(s)] = aL-1{F(s)}; a…

Q: Differentiat e 8. f0D =x° in 7X

A:

Q: 3) f (x) -on| -1, 2]| x²+2

A:

Q: dæ - x² – 10a – 21 -x – 3 - In x + 7 -æ – 3 -In +C +C x + 7 A x + 7 æ + 7 -In -x - 3 +C -In -x – 3…

A: Here we will solve the given intigral,

Q: e. As x+, y =-3 x+2x-3x* → f. As x-2, y=4+5x →.

A:

Q: 9s + 7 F(s) = 2s2 + 2s + 4

A: Given: F(s)=9s+72s2+2s+4

Q: 2 a) y = Find y'. 3e (ax-5)4

A: Explanation and solutions is given below.....

Q: 3s+7, Find L'f 's2+9*

A:

Q: 52. f(æ) = (-1)**(x – 2)". %3D n=1

A: Radius of convergence problem....

Q: ∫-21 (6-x-(x2+4)) dx= ∫-21 (-x2-x+2)

A: The given equation is,

Q: =) Skelch fx)= - 4 X S -1 X - 2 and ー1 X- 2

A:

Q: 3s +25 5) y=L-1 |s²+6s+13

A:

Q: (3 f(t) = - 2<t< 2 otherwise %3D

A:

Q: 2. R S 9. x-1

A:

Q: 2 4x f(x) = * - 9 I + 2

A:

Q: x2 dx is (ax2+4)(x2+9)

A:

Q: x3 – 3x2 – 6x - Show that - = x-3 - x2 – 9 x – 3'x +3* - - x3 - 3x2 - 6x -dxp. Hence, evaluate x2 -…

A: To show: The equation x3-3x2-6xx2-9=x-3-3x-3+6x+3 and then evaluate the integral ∫x3-3x2-6xx2-9.…

Q: Determine £'(F}. 5s + 44s + 192 F(s) = (s - 3)(s² + 4s + 20)

A:

Q: + x) at a = -2

A: The Taylor series of a function fx at a point x=a is defined as f(x)=∑k=0∞f(k)(a)k!(x−a)k where fna…

Q: - Ix - 0l (i) f(x, θ) = - 2 (-∞<x<∞) 1 f (x, 6) = 5 -(x-6), 0 <x < 8, -8mθ<o. (ii)

A:

Q: 5-29-3y=1-x

A:

Q: Describe the long run behavior of f(n) = - 4n° + 2n° – n² + 4 As n → - 00, f(n) → As n → 0, f(n) → ?

A:

Q: х - 2, for xS -3, f(x) = - 3, for - 3<x<1, 4х, for x2 1

A: Given,

Q: I(n) = ;n² - 글까-10 5-2t h(t) = t- 1 %3D S(h(0.5)) =

A:

Q: 4s2 + 3s %3D s2

A:

Q: y³dy 2. S. (a²-y²)7

A:

Q: F(s) = 5s+3 6s 8 9- - (5s2 +4s+1) s2+7 9

A:

Q: d^x d³x db4 dx +3. -27d²x -62- -24x=0 db³ db² db

A: We are given linear differential equation of order 4. 2d4x/db4 +3d3x/db3 -27d2x/db2-62dx/db-24x=0…

Q: a. Ak x+2, y=x→_ b. As x→2, y =-x →_ 6. As x → 2. y =x'+ 3x² →. d. As x→-0, y =-3x² →. e. As x→2, y…

A: answer of given question is in step 2

Q: Σε. %3D k=1

A:

Q: Q3. Integrate (x-1)(r+1)

A: To find the integration

Q: 4, 0st< 2 2. f(t) : [0, t2 2

A:

Q: 3s2 + 8s + 9 1-J = (1)f (8) (s + 2)³

A:

Q: 73.xy-z(x- y)' (19)

A: 73 Given expression is xy−zx−y2. We have to find the value of the given expression x=3, y=-2 and…

Q: 8(x - 6) at x = -1

A: Solution is given as below:

Q: 33) f(x) = |2x- 1| %3D 57 3 2 1- 5 4 2. 1 3. 1- 2 3- 55 5,

A: