? 4. Show that the sequence {fn}, where nx fn(x) = XER 1+n²x²⁹ is point-wise convergent but is not uniformly convergent in any interval containing zero.

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A: Sum of the geometric series.

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A: Given that                       ∑n=0∞an=14 and a0=120.

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Q: T(x1, X2, x3) = (x1 – x2, x2 – X3, X3 - x1). ind a vector w ER' that is not in the image of T. 3 =

A: Given linear transformation is T(x1, x2, x3) = (x1-x2, x2-x3, x3-x1)

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A: Since we only answer up to 3 sub-parts, we'll answer the first 3. Please resubmit the question and…

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Q: Given the geometric figure below with vertices and 8 lines: e a. Input the degree number for each…

A: Theorem (1) If a graph has more than 2 vertices of odd degree then it has no Euler paths.

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Q: Resolve the vector a = -i+ 4j+9k into orthogonal vectors, one of which is parallel to b =i- 3j – k.

A: Given vectors are a→=−i^+4j^+9k^ and b→=i^−3j^−k^. Here, we using the concept of projection . We can…

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Q: - In a survey of 500 students of a college, it liked watching hockey and 62% liked watc

A: Given, in a survey of 500 students of a college, it was found that 49% liked watching football, 53%…

Q: 7. Calculate the value of In17 with accuracy ɛ = 10-0.

A: Let us calculate ln17 with the help of Taylor series in the next steps.

Q: prove: let g be a group, if g is abelian then (ab)^2 = (a^2)(b^2)

A: Given g is an abelian group.

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A: Given that two polar curves are as C1=3sin2θ and C2=3cosθ we have to find the perimeter of R.

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Q: 160 140 120 100 80 60 40 20 Jan Feb Mar Apr May Tirana Algiers IStocholm Question 8 What's the ratio…

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Q: Let where u and v are deterministic fonctions. Let Find the SDE satisfied by Zz.

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Q: Consider the following. A =    18 −80   4 −18,   P =    −4 −5   −1 −1 (a) Verify that A is…

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Q: 2. Solve the initial-boundary value problem ди 3 02u Ət 10 дх2 ди ди -(0, t) Әх ?х u(x, 0) = = =…

A: