8s2 + 12 8. F(s) = (s – 2)(s – 4)4

Q: 2 4 x + 8 d x (x+2) ³

A: This question is based on definite integral.

Q: Sexdx X(x²+2)

A:

Q: Determine L-1{F} if -3s2 + 20s – 25 F(s) (8 – 3)(s² – 2s + 5)'

A:

Q: (f) 2x2 + 2r + 11 dr. J (2x + 3)(x² + 4)'

A:

Q: 5. Use the substitution method to evaluate r1 5xe32+2 dr. 0.

A: To determine the value of the integral.

Q: 8s2 -4s+12 1. F(s) s3 +4s

A:

Q: Э3: 4ln(2x+3)%3D In 2+1

A: Given equation: 4ln2x+3=ln2+1 We know that the value of ln2=0.693147…

Q: (b): Evaluate: (8t³ – 9t² + 10)dt

A:

Q: (t+2)(t-2)=(t+4)(t-5)+6

A: Here we solve the equation for t.

Q: S L-₁ ((5 + 1)²) = eat + aebt (s Find a + b.

A: Inverse laplace transformation

Q: = 1+x T(₁) = 7(x) = 7 (x²) = 4 + 3x. 3-22 2.1 Find T( a +bx+en 2.2. 2 2 = d -x73x T(4-x + from the…

A:

Q: One of the following statements is true 1. The real numbers are countable. 2. The irrational numbers…

A: Countable and Uncountable Sets: A set S is countable if either S is finite or there is a bijection…

Q: 2(2n+5)=9(7n+3)+8

A: Given equation 22n+5=97n+3+8 We have to find the value of n Use distributive property and then…

Q: ö even ppo o ppo o h(x)=-x5+3x?.

A:

Q: Q3:5how thout the +3x2k is Conservative?

A:

Q: Sx2.- cos³ x-5 du 1-sin? x

A: Evaluation of the integral, bu using integral by parts

Q: L-1 (s+a)2+ω2. s+a

A:

Q: 68. (t + 4)(t + 4)(t - 4)(t - 4)

A: We will use here the property a2-b2=(a+b)(a-b)

Q: 7(t-3)=6t+21

A:

Q: 3r 75

A:

Q: (5x – 2x2 + 6)8(x+2)dx

A:

Q: 3y-6(y+z)+y

A: Distribute -6.

Q: K K 10 7xー 12. 12- M 3x +6

A: that is 7x-10=3x+6 4x=16

Q: m) 6 da &+ 3시

A: Given :                      ∫62+3x dx              Substitute u = 3x + 2    then,  dudx = 3…

Q: L{2et – 4e4 } O 2(s-6) 52-6s+8 O2 (6-s) 52-6s+8 s-6 82 6s+8 (s 6) 2 6s+8

A:

Q: (D3 – D)y = -2(1+x) + 4e* – 6e¬* + 96e3*

A:

Q: K = 5k² - √5. 5 + 1 5. - 1 5k - 1 = ?

A:

Q: 4a² • 3a5 = (4 + 3)a² + 5 = 7a 7 %3D %3D

A: The solution are as follows

Q: (2r+1)ar +2r+1

A: Given: ∫2r+1r2+2r+1dr

Q: 5(n − 7) = 35 + 5n

A:

Q: Evaluate L-1 s²+10s-2 (s+2) (s²-3))

A:

Q: (b) | 12 – 2| dz

A:

Q: (-4)* 5k +1 k=1

A: We have to find if the series convergent or divergent.

Q: (3): Evaluate 3e -5e +8 dx

A: To evaluate the given integral

Q: r(z) = 31* +41² + 71 + 4,

A: Express mathematically the definition of derivative. f'(x)=Lth→0f(x+h)-f(x)h Let the given…

Q: Determine £¹{F}. F(s) = £¯¹{F} = 2 4s + 51s +137 (s-5) (s² +8s+17) -

A: Our objective is given below:

Q: Z:5X++7X2 MaX 3メ1+2X2< +8mf) メ+X2< 12) ~ X2<4 (2) XナX2 70

A: