Which of the following is always true for any real numbers x, y? For real ɛ > 0, if |x-y| < ɛ, then x = y x^2 > 0. m >n EN → x^m > x^n |x/y| = |x| / lyl None of the above.

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A: We have to draw graph of the image under T of the unit square.

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A: Sol

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A: In this question we have to give the definition of complex inner product space.

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A: Given that m*n=2m-n2 therefore -3*5=2-3-52

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A: We have , fx = coshx We know that , the quadratic approximation of  least square polynomial is given…

Q: 8 9 -s 0 -1 0 2|-9 2 92 A = Find A21.

A: This is a problem of linear transformation.

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A: Given vectors are x1=1111x2=0220x3=-1000

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A: Here, We need to use the newton-raphson method. x0 = -3 y0 = 2

Q: x8dx (а2+x?)2

A: We can solve this using substitution method and partial decomposition

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A: We have to find the inverse Laplace transform ℒ-13s+8s2+2s+5.

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A: According to our guidelines we can answer only one question and rest can be reposted.

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Q: 1. 3) Find the eigenvalue and eigenvector of matrix A =1 2 3 -1

A: As requested I have given a typed answer. Please find step by step solution below:

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A: Sol

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A: We want to find the area under the standard normal curve from 0 to −1.62.

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A: 3) We have given a Cauchy - Euler equation ,  x2d2ydx2  + 4xdydx + 2y = ex Let , x = et ⇒ t = log x…

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A: Total number ofoutcome for rolling a die three times = 6×6×6 = 216

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A: Given that,A triangle is inscribed in an ellipse whose equation is 9x2+16y2-216x-320y+2320=0One…

Q: .9. Which is true for a nonempty subset S of R? O If S is nonempty and sup S exists, then S is…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

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A: We have to solve the given Cauchy problem.

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A: This is a problem from linear transformation.

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A: Here, We need to use the Jacobi method. Please find step by step solution below:

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Q: Exercise 93. Use what you know in the previous problem and the fact that the vector field F is…

A: We have to evaluate ∫CF·dr  where F=&lt;excosy,-exsiny&gt; and C is rt=&lt;t,t2&gt;, 0≤t≤2

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A: This is a problem of optimization.

Q: 1 Find the eigenvalue and eigenvector of matrix A = 1 li -1 3

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A: