Confirm that the Integral Test can be applied to the series. n = 1 Evaluate the following. *∞ In(x) [ Use the Integral Test to determine the convergence or divergence of the series. dx = In(n) 3 converges O diverges

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Q: Which equation below define the Euler formula? a. ely cosy + i sin y b. c. ely d. e-ly. ely-cosy + i…

A: Euler formula is : eiθ=cosθ+isinθ so that Answer: a  since eiy=cos y+i sin y

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Q: 8. Show that if |G| = 12 then G has a normal Sylow 2-subgroup or a normal Sylow 3-subgroup.

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Q: [2√3 sen() dx

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Q: (3) What do you think is the formula for |S₁|? (Y formula.) (4) Prove that formula by induction.

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Q: 2 In each of the following cases, determine whether the subset W is a subspace of the given vector…

A: As per Guidelines we have to solve only first 3 subparts.

Q: (4) Prove that formula by induction.

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Q: 8. For each function, determine whether that function is 2(x²) and whether it is (x²). 6.a f(x) = x…

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Q: theorem

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