Describe and plot the points ≈ in a complex plane defined by the following region: A = {z € C: Re(1²) <3} n {z e C: 2+2i <4}.

Q: 5) Find factorial of N?

A: 5) To Find: The factorial of N.

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Q: Find F.T the: f(x) = 1 + cos (6πt + I) let: and 1-2T8 (W) Coswo T/S (W-Wo) + s (w+two)] Wo

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Q: 3/16, 9/32, 3/8, 15/32, 1/8, 11/64, 1/4, 23/64,. 5/16, 1/4, 3/16, 1/8,. * * *

A: The given patterns are  316, 932, 38, 1532,......18, 1164, 14, 2364, ......516, 14, 316, 18, ....…

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Q: 8. (a) Prove that if p and q are odd primes and q | a² - 1, then either q |a - 1 or else q=2kp + 1…

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Q: Q3. [-2 2 31 Let, A-2 3 2. Find the eigenvalues and bases for the eigenspace of A and A-¹. L-4 2 5J

A: Given matrix is A= -223-232-425

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Q: If lim (a.) 2 (b.) 4 L(C.) 16 (d.) 64 1+ cx 4, then lim (1+2cx 1-2cx, IS

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Q: 1. Let A = {a, b, c, d, e} and B = {b, c, e, f} both be subsets of N = {a, b, c, d, e, f, g}. What…

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Q: 1. Let f(x) be the piecewise defined function as follows: (x-1, f(x) = {2, for x 0 In your group,…

A: For the given piece wise function a. f(9)=3 b. f(0)= 2 c. f(-2)= -3