Find the maximum volume of sphere that may be completely submerged in a cone of height 5 m. Express your answer in 2 decimal places

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Q: (a) A subspace Y of a Hilbert space H is closed if and only if Y = Y.

A: To Prove- A subspace Y of a Hilbert space H is closed if and only if Y⊥⊥ = Y.

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A: We can solve this by using differentiability formula

Q: -1 2 1. Solve X' 1.

A: 1. To Solve: X'=1-12-110-101X

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Q: e Stokes' Theorem to evaluate o F dr. F(x, y, z) = z²i + 26xj – y°k ere C is the circle x? + y = 1…

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A: Introduction: Like a single variable function, a multi variable function can also have extremum…

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Q: 16-30 INTEGRATION Integrate by a suitable method: 16. 4z3 + 2z from -i to 2 + i along any path

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Q: (1 mark) Let x, Y, A, µ E Z. Prove that if 1 = Ar+ µy then I, y are relatively prime.

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A: Isometry: An isometry is a one-to-one transformation from one geometric space onto itself which…