Compute x(1+ a*)* dæ-

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A: LetS⊆R, claim: closure(S)=S∪Bd S =S ∪ S' by definition bd(S) ={ x∈ℝ/x∉S° & x∉(ℝ-S)°} let  x∈S∪S'…

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A: The series can be shown as continuous in a domain if it converges. Therefore, the first calculate…

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Q: 11. Prove that tanh y du = In cosh u + C

A: The integration of the integral is tanhu.

Q: SSR is defined by SSR = E9 - 9). Prove %3D (1) SSR = 3} S.z- (2) E(SSR) = o + Bị Sr. (3) Show MSR ~…

A: Given, SSR=∑i=1ny^i-y¯2. The fitted equation of yi=β0+β1xi+εi is  y^i=β^0+β^1xi, for i=1,2,...,n. yi…

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A: Hello, thanks for your question but according to our guidelines I am answering just question number…

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A: Dot product of perpendicular vectors is 0.

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A: Given :-(a, ∞) is not measurable.

Q: Prove that D24 and S4 are not isomorphic

A: Since D24 ={a,b: a 12 =b2 =e (identity) and ab=ba-1 } This implies that D24  has 12 reflection and…

Q: 2. What is the largest possible c in (1) if X=R² and x₁=(1,0), x₂ = (0, 1)? If X = R³ and x₁ = (1,…

A: Given: c To find: a) X=R2b) X=R3

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A: In this question, we check the given set is measurable or not. here we use the condition of Lebesgue…

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A: It is given that

Q: 12 २ (४) = dt | २स Prove !- \) ২-০০) = २(-०० ) 3D \

A: Given that Qx=12π∫x∞e-t22dtTo prove:1. Q-∞=12. Q-x=1-QxSolution:we know that ∫-∞∞e-x2dx=π       ...…

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Q: Prove that (A = B) where (A = ax + ay + az) and (B = bx + by + bz)?

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A: Solution of the problem as follows

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A: Understanding of derivative when function is there in power of any function.

Q: 4. Prove that d x" = nx"-1 ミクー! de

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Q: lestion 25 Consider the following IVP: y" + 3y' + 2y = 12x?; y(0) = a, y'(0) = b

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Q: Show that for all x, y E F, there exists e with e < Emachine such that fl(x * y) = (x * y)(1+ €) is…

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Q: az az and Find z = x* In(1+ ry + xy

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Q: 3. Prove that the sandwitch theorem.

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.