Prove that each component of X is open. 14. Let X be the set of reals with the usual topology, and let S = {1/n: ne Z+}U {0}. Which components of S are open? Explain.

Q: Find all values of the variable for which the rational expression is undefined (9)/(y-6)

A: This question is about rational function and rational function is of form P/q where q is non zero

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Q: Find | |- •√√√√ V 5x ry sin(x² + y2) dedy

A: ∫02π3∫05π3xysinx2+y2dxdy

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A: The given Leslie matrix is 2.43333.250.8000000.3000000.6000000.80

Q: Exercise 8.4. Suppose o e Sym(n) is a k-cycle. Show that TOT-¹ is also a k-cycle for every 7 €…

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Q: Let f(x) = tan 2x. Suppose that f(x) = C(x-7/4). Find co, C₁, C₂.

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Q: Evaluate L[u(t-2)-(t-2)³} a. e-2s/s4 b. 6e-2s c. 6e-2s/s4 d. 6e²s/s

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Q: 올노 5. Consider the triangular region R in the x, y - plane determined by the vertices (0,0), (1,1),…

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Q: B). Find the volume of the solid obtained by rotating the region bounded the given curves about the…

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Q: 3 ³1 f(t) 2 1 1 2 3 4 SH 5 6 7 8 9

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Q: Show that |Z(Dn)|=1 or 2 according to whether n is odd or even

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Q: 38. T is the reflection through the yz-coordinate plane: T(x, y, z)=(x, y, z)

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A: Time (min) Salicylate (mg) 0 200 20 177 40 157 60 144 80 123 100 114 120 99

Q: 5. Calculate the divergence of F = (7x², 9y, -52).

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A: The flux over the curve C is given by

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Q: Evaluate · ] [ F · d.5, where F = and 5 is the helicoid with vector equation S r(u, v) = 0 ≤ u ≤ 3,0…

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Q: dx Use residues to derive the integration of ²1 0

A: 1. Residue at a pole z=a of order 1:limz→a(z-a)f(z)2.Residue Theorem: ∫cf(z)dz=2πi[Sum of Residues…

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Q: Determine {f}, where f(t) is periodic with the given period. Also graph f(t). f(t)=t, 0<t<1, and…

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Q: 1 independent events with P(A)= and P(B) = 8 91 Let A and B be Find P(An B) and P(A U B).

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