r1 4 13 40 (a) Find the supremum of the set S :={3; §; 27 81 }, if the supremum exists. Justify your answer. {v2, v2 – v2, / 2 – /2 – v2, ….}, if the infimum V2, x2 = V2 – x1, x3 := /2 – x2, etc, then (b) Find the infimum of the set T := ... exists. Justify your answer. [Hint: Let x1 = solve by using limits.]

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A: Level set of the function

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A:

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A: Let us find the basis for the null space of A in the next steps.

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A: To find the value of given integration  We use some basic results of integration and substitution

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A:

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A: Given Differential equation is x'' - 4x' + 4x = 4e2t

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A:

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A: This is the question of LPP and optimization.

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A:

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A:

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A:

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A: We have to find the Laplace transform.

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Q: (4) + 4y + 6у + 4у +у%3D0|

A:

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A: Given curves are f(x) = x + 8 and  g(x) = x2 - x Graph is given by

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A:

Q: How 1지 - (지f f. ① Find the derivative for dhe follawing funedions? is f(x) Gntimeug ? (b) x-1 영 In()

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: xe“dx

A: Question from definite integration.

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A:

Q: 3. Use the definition to prove that limr→∞ x² 00.

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A: The Inverse Laplace transformation formula are L-1ss-a2+b2=eatsinbt, L-1s-as-a2+b2=eatcosbt.…

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A: 1. This is reflection. As the x axis acts as a mirror line.

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A: