s2 + 11s + 20 1-J = (1)h (q) (s² + 4s + 8)(s + 1)² J* %3D

Q: 4 F(s) 3s2 + 1 s - 3 1+ (8 – 3)² 1 F(s) = (s – 3)5 F(s) = s2 + 2s + 1'

A:

Q: 2s + 1 7. F(s) = %3D s2 - 2s + 2 1- 2s 9. F(s) %3D s2 + 4s +5

A:

Q: 1. F(s) = 16/[s(s²+4)] 2. F(s) = (8s + 11)/[(s-4)(s²+9)]

A: We have to solve by inverse Laplace transform.

Q: geometry to evaluate S V4 - x dx. -2

A: Given : integration gives area under the curve.  let  y=4-x2      y2=4-x2   x2+y2=4   x2+y2=22it is…

Q: 2s a) F(s) s2 – 2° s + 3 b) F(s) = s2 + 2s + 4

A:

Q: X1[n]= {1,-1, 1} X2[n]={2, -1,1} Find convolution using: Graphical method • Tabular Method…

A: The convolution sum:                    yn = xn * hn = ∑k=-∞∞xkhn-k

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: 2 (ii) using Convolution theorem. (s+2)(s²+9)

A:

Q: Particular solution of y" - 5y' = x-2, when x = 0, y = 0, y = 2

A:

Q: Determine L-1{F(s)} 2s+1 sF(s) + 3F(s) s2+2s+1

A:

Q: S² z²√√(-z² + 1)5 dz

A: To find the value of the given integral.

Q: Journal: XFactor: n+4n- 12

A: the factors are (n-2) and (n+6)

Q: 2s – 3 - 1. F (s) (s – 2)²(s + 5) 2s 2. G(s) = s2 + 8s + 25

A:

Q: Sį : -8(y – 2) = (x – 1)² S2 : y + z = 2 S3 : x = 0 S4 : y = 0 S3 : z = 0 %3D

A:

Q: 3s - 2s - (s-3)(s² +1) %3D (1 + ;s)(E = $) = (s)d

A:

Q: 10 2. F (s) s2 +4s+4

A:

Q: s³-2s²+5s-9 R(s) = %3D s2(s+3)(s+1) 3s+10 W (s) %3D s(s-8)(s-6)²

A:

Q: (d) F(s) = - 1- e-s s2 +s - 2 (е) F(s) - s3 – 3s + 2

A: (-2 δ(t) + δ'(t) + δ''(t))/(s^3 - 3 s + 2) = (-2 δ(t))/(s^3 - 3 s + 2) + (δ'(t))/(s^3 - 3 s + 2) +…

Q: Energy consumption in a particular country in quadrillion BTUS can be modeled by C(x)= -0.014x…

A: a) Given:  One of the solution to the equation c(x) 89.258 = -0.014x2 + 1.295x + 68.958 is x = 20

Q: 1 + s(s + 2) F(s) s[(s + 2)2 + 2]

A:

Q: X(s)=(s^2+6s+7)/(s^2+3s+2) and Re{s}>-1 what is x(t)?

A: We are given : X(s)=s2+6s+7s2+3s+2 ⇒X(s)=s2+3s+2+3s+5s2+3s+2 ⇒X(s)=1+3s+5s2+3s+2 ---(1) Now,…

Q: 3t Q3) Verify that -e-3t e 3t are solution for re-3t 3t 1 e-3t -2 21 2 X on (-0, ∞). 2 X': -2 1 2 1

A:

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: 1. y" - 2y' - 3y= e2x by D- operator method

A: Solve for cf and PI

Q: Apply the method of reduction of order (not itť's formula) to find the second solution if 6y"+ y'-y…

A: Write the given differential equation 6y''+y'-y=0 in standard form by dividing by 6 throughout.…

Q: 1 (i) s2+2s+1 (ii) g3 s2+s-1 (iii) 2s+4 (s+1)(s²–2)

A: As per our guideline we are supposed to answer first three subparts.kindly repost other question.…

Q: (1)F (s)= s +9 2s2 +s -1 %3D

A: Given: L-1s+92s2+s-1

Q: F(S): (s+2)CS+1)(S-3)

A:

Q: Outcome/s: Max Z = -X1 + X2 + 2X3 ST: X1 +2X2 - X3 s 20 -2X, + 4X2 + 2X, s 60 2X1 +3X2+ X3 s 50 X1.…

A:

Q: 5Tanx+13=2ZTanx Lineer (23inx+13)-(2605x)=0 CSCX-(secx-2)=0 Fackr 20033X +C05X-1=0 uva Quie…

A:

Q: 16. Using integration by parts to solve 2√4x²+k A. -√4-x² + k √4x²+k -2√4x²+k B. C. x³ dx √4-x² and…

A: Given: ∫x3dx4-x2

Q: Apply the method of reduction of order (not it's formula) to find the second solution if 6y "+ y'- y…

A:

Q: 3. F(s) 2(s – 1)e-25 s²+2s-2 2e-2s 4. F(s) s2–4

A:

Q: Evaluate L{(t²+ 4)e³t} 2(2s² – 12s + 19) а) 2(2s² - b) 12s + 19) (s + 3)2 (s – 3)2 (2s2 – 12s + 19)…

A:

Q: 3s +2 1 Find L-1 s2 + 4s + 29

A: To find laplace inverse.

Q: 2s - 1 s2 - s -- 2' F(s) = s2 – 4 - 4 F(s) : (s2 + 4)2 1 F(s) = s2 + 3s + 2

A:

Q: 3. Area between z = -2.50 and z = 1.50 4. Area between z = -1.80 and z = -0.33 Steps Solution…

A: 3. We will use substraction to find the area between two z-scores. Step1:  First we will find the…

Q: Find the inverse Laplace for the following using Partial Fraction Expansion:

A:

Q: 3s (s-2)2 3e2 (1 – 21) 3e-21 (1 + 2t) In (출) 3te-21 3e2" (1 + 2t) 3t e2 6te2

A:

Q: 2 - = 3t y+ x' = 3et * (0) = y (0) = 0 OL (x) = 3s2 (s+1)(s–2)(s²+1) 3(s-1) OL (z) = 76+1) (28²+1)…

A:

Q: 3s 4) F (s) s2+2s-8 10-4s 5) F (s) (s-2)2 s+12 6) F (s) s2+4s ||

A: Inverse Laplace transform 1/(s-a) = e^(at)  Inverse Laplace transform 1/(s-a)^2 =t e^(at)

Q: 4x1 -5x2 +3x3 +3x4 4 -I1 +x2 +3x3 +3x4 4 3x1 -4x2 +6x3 +6x4 8 -3x1 +3x2 +9x3 +9x4 12 +s +t

A:

Q: L(3+e2^)²= 9. 6. 1 - S- 2 .a O s- 2 6 1 - s- 2 .b O S-4 S 3. 6 1 + s-2 s-2 9. 6 + S- 2 - .d S S-4 1…

A: Given that L3+e2t2.It is required to find the Laplace transform of 3+e2t2. I is known that Laplace…

Q: an = Vn - Vn + 1 S1 S2 S3 S4 Sn II

A:

Q: 2s – 3 F(s) s2 + 2s + 10

A:

Q: determine L−1[F].

A: Given Fs=2s+3ss2-2s+5.

Q: 1 Y(s) 5s2 then Y'(s) = ... 4一s

A: Given Y(s)=15s2-4sTo find Y'(x)

Q: seParable 5い / / とll y=2メJタ! 4 xx

A:

Q: Q.3// Find the optimal point from the mathematical model (by graphic methods): Max Z= 3x1 + 6x2 s.t.…

A: First We will Draw the Feasible region bounded by given constrain then by finding the value of the…

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.