Find the SVD of 3 A = 2 3 -2 [Hint: Work with AT]

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: Show that for A symmetric inf. = Amin(A).

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Q: , Evaluate by interpreting it in terms of areas. *P (2* – I^ + *),J

A: We have to evaluate integral by interpreting in terms of area

Q: 8. Given that r || s and transversal t, 21 and 26 are supplementary.

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Q: Find diagonal matriy D is similar with A a A = [3 8-5

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Q: (b) En=1 m

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Q: Use Newlon's Me thod with the runclion $r(x)=x^{2}-2$ and inilial value $x_{0}=3: to calculate…

A: Givenf(x)=x2-2            and     x0 =0 newton method  xn+1=xn-f(xn)f'(xn)

Q: Given that en 2= V and en 3=W,express each of the fallowing in terms of vand w a) in zv0/3

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Q: 3) Show that the tangent(45°) = 1. Let "u" = 22.5°, use calculator %3D

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Q: 1. Show that S, has the presentation (x, y|x² = y = (xy)² = 1). %3D

A: The symmetric group S3 is given as S3=I, 1 2, 1 3, 2 3, 1 2 3 1 3 2 where  I=123123, 1 2=123213, 1…

Q: is tG following Conresger Os diveeg fao - X

A: Given: [They not mention the limit values ]. The given function is f(x)=x1n or  xn.

Q: Show that the series 3. + + 4 To t (-1) Lonverges absolutely.

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Q: dx IP 1^

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Q: メ (myst メート→ Q(2,4) where: Path C くz rom ○)と to over the Evaluate the

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Q: Consider a robot arm as given in the following figure

A: answer is in next step

Q: 4. If X and Y are independent RVs, then O2+ ,(@) = ¢,(@) × ¢,(@)

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Q: find the'mters ection d Exe sy,z]= [a,0,31++ 4,-2,178 [+sy,z]=[6,-12,--11]+5 [1,2,4]?

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Q: Suppose T: R + P, has an action on a

A: Given, And

Q: =8, d=9 ation u such that (a, b, c, d) = p

A: The value of a, b, c and d are given as follows, a=5, b=13,c=8,d=9. To find the permutation μ, such…

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: Let Zlx) ~N(0,1) prop (x1.21) = %3D prop

A: Let X be the random variable from standard normal distribution with mean = 0 and standard deviation…

Q: A, Az, An are independert,2) PLiln)=r9)-1), where Bi is eitler Ai or Ai for izlityn in please proof…

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Q: 2. (Z, * ) where * is define by a * b = a - b.

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Q: Which of these best describes T?

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Q: 1. Do not use a theorem to find the ff. Z if yz? + z = 5xy – 1. %3D

A: In the multivariable function, if we have to find the partial derivative of one variable with…

Q: Which of the following DEs are first order linear DEs?

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Q: Use the diagram to prove that ACAS ATAS. A T. Given: CS = ST and mzCAS mzTAS= 90 Prove: ACAS= ATAS

A: Given : CS ≅ STm∠CAS = m∠TAS = 90°

Q: Find the maaimum and miniryem Valiaes of e feencteon Cif exits) feny) Luž-3ary

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Q: In ALMN, LN is extended through point N to point 0, mZMNO = (5x – 13)°- mZNLM = (x – 4)°, and m/LMN…

A: Solution-

Q: Prove that du Inlul + C where n= -1 u

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Q: et f(x, у, z) %3 ху + z', Р %3D (3, 9, 1

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Q: (X), E(Y ) EXY), Cov(X, Y) , σχ, σχ and Py.

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Q: 12) Given: MZRSU =91° show that MRST = 23° %3D 68° T.

A: Show that measures of angle RST= 23°.

Q: that H(m m). Show

A: Given function is: Hm=3m-2 We have to find the inverse function H-1m. Let Hm=y Then we get,…

Q: c) Compute µr, Hy, Ož, o, Cov(X, Y), and p

A: Reviewing information, Given pdf is, f(x,y)=x+y                 ; 0≤x≤1 ,  0≤y≤1

Q: pes of animals are treated by at least on r. Scott, and Dr. Baker)?

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Q: Bla) 31 compute measurable

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Q: Question 2: Show that the set S = {rVT + V2:rE Q) is dense in IR. Explain and show your work.

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Q: Prove that S, pm (x)Pn(x)dx = 0 if m# n ? %3D

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Q: Show that (t) =| 2 3t is the fundar

A: Given that,            y'=A(t)y                          ...(1) where                A(t)=-1t1-6t23t

Q: In AJKL, JL is extended through point L to point M, MZLJK = (x + 9)°, mZJKL = (x - 2)°, and m/KLM =…

A: The exterior angle is equal to sum of two opposite interior angles. We will use this property to…

Q: Suppose that the true model is () E+ and that it satishes MR1-MR6, but you estimate by OLS (II) W=…

A: From the given information, I yi=γxi+ei The OLS estimator of γ is, γ^=∑i=1Nxiyi∑i=1Nxi2 II…

Q: e){x*,x%,x}on(0,)

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Q: Consider a S = {x|x"=1} is S, equals to S?

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Q: S that is closest to b.

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Q: If θ̂ is a point estimator of θ, prove that MSE(θ̂) = V(θ̂) + (B(θ̂))2

A: We have given that θ̂ is a point estimator of θ. We know that  MSE(θ̂) = E((θ̂ - θ)2 )

Q: Obtain Llerf x; p). Hence deduce the value of Lierf (bx); pl.

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Q: ф%3 ASin2лut $ = TUt dø, k " ø = 0 dr m U = ? +

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