Let X be the set of reals, and let T = {SCX:0€ X-S} U {X}. Show that T is a topology for X and find the closure of the interval A = (1,2) and of the interval B = (-1,1). the X

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Q: = 5₁° 0 I = COS X (x² + 1)² dx.

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Q: i. Let (B, || – || B) be a Banach space and let A C B be a subspace (as a vector space) of B. Recall…

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Q: Verify the divergence theorem for the region 1<x²+y²+z² ≤4, if A = -(x į + y j + z k)/p³, p=√√√x² +…

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Q: True or False: If H is a subgroup of G and G/H is cyclic, then G is cyclic. (a) True (b) False (c)

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Q: solve the given initial-value problem Q.y′′+9y =15sin2t +δ(t −π/6), y(0)=0, y′(0)=0.

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Q: Let A = A-¹ = 12 2 -5 use Gauss-Jordon Elimination to find 11

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Q: E is the tetrahedron bounded by the planes x = 0, y = 0, z = 0, x+y+z= 1 and density p(x, y, z) = y.…

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Q: -{D.A} (a) Find the transition matrix T from the basis E to the basis B. -188 Let E= T = (b) Find…

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Q: a) How many leading ones are in the RREF of a system of ten equations in ten variables having a…

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