Let A be a set, and let B be a proper subset of A (so that B is not equal to A). Is it possible for B to have the same cardinality as A? Select one: O a. No, unless A is finite. b. Yes, it is possible for any A. O c. No, it is not possible for any A. O d. Yes, but only when A is infinite.

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A: Let ℝ be the set of real numbers and let • denote the normal multiplication operation on ℝ.

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A: Kindly refer to Step 2 for the solution.

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A: We will use divergence theorem to find flux through the sphere of radius 2 centered at origin .

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A: Given x = 4 cos θy = 13 sin θ0 ≤ θ ≤ 2π

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A: This is a problem of the Fourier Series.

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Q: 3) Find and classify all relative extrema for 2 2 f(x, y) = x +y + 2xy. [Hint: If the second partial…

A: Here  we use the concepts of 2nd derivatives test for finding the type of relative extrema .

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Q: I. Select the best answer for each item. I.A) Antisymmetric Relation * A relation R on a set A is…

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