We ThiFrSal Memo No Date 9. 3x-7=2 9x+5y: 32 2/12x-7y=18 J4x+24=0

Q: 10 of 17 If y(t)+(t-r)y(r)dr=t, then y(t)= Su-nyndr3Dt,

A: Convolution Theorem: The Laplace Transform of the convolution of f(t) and g(t) is:…

Q: b. Prove that coth² x-1=csch?x

A: Sinh(x)= (e^x-e^-x)/2. Cosh(x)=(e^x+e^-x)/2

Q: 4) Consider a particle MOu along astraight line ha s eločil funchonv=ť'+xT-15 1st=6 a) Frnd…

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Q: The Critial Points of fcx,y)t+Ý-4y subject to the x+y=9 is O (o,さ3), (は5,2) ④ (e, さ)さ何,) None of…

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Q: Use Cramer's rule to fins a solution: 3x-2y=4 6x-4y=0

A: Cramer’s rule:

Q: 2|x~ Bin (wa) X~ TI (Q) = -IN 0 QE [011] you should Find posteria 8201 other wise

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Q: Determine the solution set of the matric Ax=0 where A= 1 2 3 2 3 4

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Q: 2) Show that the cosine(45°) = V2 * (0.707). Let “u" = 22.5°, use calculator. %3D - 2

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Q: Consider the model Yi Bo +31 Xi + ui Where u = B₂Z; is unobserved. You know that 32 = 1 and you…

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Q: H.w, Consi dev The Syofem by and Gass Jorelau 3メ-23+る =25 メ+33-2るー2 ux- 5y - =31

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Q: Solve this egeua tion using differenbicel eque bio us ikx -ik X 4 Cx) s AĈ + 13e

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Q: The convolution of e2t ® sin(3t) S is | e2Usin(3t – 3u)du e2usin(3t – 3u)du Se-2usin(30)du…

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A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Given: mTRV = 60° M2TRS = (4x)° %3D Prove: x = 30 Z. 60° R (4x)° W

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Q: 6.13 Show that t: = B,/[s//E=, (x;- %3D VI- r in (6.20). |

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Q: 3.5 30 21 Not drawn to scale. O SAS- Theorem O SA- Postulate O SSS- Theorem O AA- Theorem

A: There are 2 theorems for similiar triangles. SSS and AA theorem

Q: 1 Using Convolution theorem, find L' ,2 |(s² +a²)?

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Q: 6. Use a substitution to find S (x* + 1)" z³dx.

A: Here we use substitution we find∫x4+111x3dxHere we substitute x4+1=du…

Q: The equatich AX =0 has the Solution if and aly if variable. nontrivia I A has à free

A: To find whether the given statement is true of false. Given Statement is  The equation AX=0 has the…

Q: Use Cramer's ru;e to fins a solution: 5x+4y=12 3x-6y=24

A: System of equations are 5x+4y=123x-6y=24

Q: To/t Integrate Ua ko To 3. Uz kg 2. eT-1

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Q: and 3 point Gauss Quadrature 2 By using e sfim afe : 2 dx メ-2 い)S, dx Nx

A: The given problem is to estimate the integral using 2 point gauss quadrature rule and 3 point gauss…

Q: 16. Obtain the toigonometric fouries seajes for A fit) > wt 277

A: The given image is of sine wave form. Here, period T=πand so, w0=2πT=2ππ=π

Q: 7. If (x, y, 2) = 3xz³y – y?, find grad o at the point (1, -2, –1) Ans. - (16î + 9j + 4k)

A: The gradient of a scaler point function φ is obtained by applying the del operator ∇ to the scaler…

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A: Fourier transformation of a function x(t) will be X(t) and inverse Fourier transformation of…

Q: Suppose, X0- Binom(m,0)and 0~ Beta(a, B), then E(X) is equals to, a) maß b) aß ma c) d) me

A: Given: Suppose,  Xθ~Binom(m,θ) and θ~Beta(α,β)

Q: 6. Prove: 4 |x – y| 0, then x = y Vx, yER

A: To solve Q.6 Prove: If x-y<ε, ∀ε>0, then x=y ∀x,y∈ℝ If (Given) Then (To prove) ∀ε>0,…

Q: *Write ascript Ble for tayler polynamial of order 5 foU= LnX near Por where the out put is ycl-15).…

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A: prospective study : In this kind of study, subjects are studied by researchers before they develop…

Q: Find the indico 6. 2. 3+ 2 1..2+4+8+ 27 t. 4. 3. 12, (4)"- n= %3D1 2.

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Q: •1-i Evaluate 4z dz . J3i

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Q: B 2. 7.2.Preve that CD= 24 SnR Vzt2 cosx

A: Use trigonometric ratio to solve

Q: Ju 20²u c² of2 (r, t) = u(x,0) = 0, ut(x,0) = 0 u(0,t) = 0 u(1,t) = 0. da2(x, t) + XX , 00,

A: Introduction: The basic method to solve a partial differential equation is the method of separation…

Q: 10. If mLTSV = (6x + 17) and mSV = (15x + 13)", find mSUV. %3D T

A: Property used is (11) An exterior angle of a triangle is equal to the sum of the opposite interior…

Q: Derive pz, 192. sjt9z, Hz(t), ez, čr: directly , if X ~ U (0, w) with r = 20, n = 30, w = 100. %3D

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: 6. Consider the following model: Yi = Bo+B,D11 + B2D21 +u; O if person i is a non-immigrant) where…

A: Dummy Variable Trap: It is defined as the scenario when the attributes are highly correlted. One…

Q: (2, Prove that Ž (Pn+ Pn+1) hr 9=U (y+1) 27-²8 (14+ 2x=-1) y

A: What is Legendre Polynomial: Legendre polynomials are a set of complete and orthogonal polynomials…

Q: 10. If mZTSV= (6x + 17) and mSV = (15x + 13)', find mSUV. %3D T

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Q: A space ship travels at 25 miles per hour and traveled continuously for 211 hours. 4 Enter the…

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Q: Use cubic interpolation method with two points to find uz , where a = 0. 6, h 0.1, ɛ = 0.001 and O'…

A: Cubic interpolation method gives the following formula for evaluation, For, μ2=a(∅')-h1+∈ Therefore,…

Q: di V = -L dt

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Q: d) By multiple application of Simpson's 3/8 rule, use step size as 0.02. e) Discuss on your results.

A: Given that, the function is fx=x2+0.4x-0.081+x3. a) The value of the integral by using the…

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