1. Z₁ = 1-5i 2. Z₂ = 3 + 2i Z2 3. Z3 = −7+i

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Q: 2. Is the set D = | = {z = C | |z| = 5, |z − i| > 5} compact (C is equipped with a standard metric)?

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Q: Find the Laplace transform, F(s) of the function f(t) = e-st, t > 0 F(s) = s> −5

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Q: H2) Prove, using mathematical induction, that 32N-1 + 1 is divisible by 4 for any NE N. (Hint: A…

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Q: Integrate [x xex dx.

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Q: INNER PRODUCT SPACES 1. Let (u,v) be the Euclidean inner product on R², and let u = (2, -1), v=…

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Q: 54. Let A, a) UA₁. i=1 -2, -1, 0, 1, ..., i}. Find n b) i=1 A¡.

A: Let .To Find:a) .b) "As per the policy we are allowed to answer only 1st question please repost the…