Suppose p is prime and that a,b EN with a, b > 1. (a) Show that if p|ak for some k E N, then p|a. (b) Show that if p|a and p|a² +b², then p|b.

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Q: 1. Let S = {z € C| 26 = 1}. (a) For each element w in S, find def. {w°, w*, w?, w³, . ..} and then…

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Q: F{xe 12l} = a) -8iX (16+X²)? b) -16i) (16+X²)? c) 16iX (16+A?)? d) 8iX (16+X*) e) None of these

A: We compute Fourier transform of xe-4|x|.

Q: Show that for any n E N, 7(15".

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Q: 38 Select the correct answer. What is the value of this limit? 2 lim I-3 I2 + 7 I + 4 ) + x + 5 O A.…

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Q: a) Find the value of a such that the serie 00 E(-1)" is equal to . If it is not possible 2" n=0…

A: Geometric series summation evaluation

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A: Introduction: The expected value (EV) of an investment is the expected average value at some point…

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Q: F-1S e-5id 1+(A+6)² S Oa) lebi(x+5)-|+5| O b) e6i(-5)-la-5| O c) None of these O d) le-bi(x+5)-|z+5|

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Q: {{::] a Let W = : a, b, c, d in R is a subspace of the vector space M23. Find a basis for W. c d 0…

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Q: F-1S 1+(A+6)² } e-5id a) te6i(x-5)-|r-5| O b) None of these 이 Je 0(2+5)-l2+5| d) 공e6i(2+5)-|»+5히 Oe)…

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Q: 2. 2x' – 3y + y' = 0; x' + y' = t;x(0) = y(0) = 0 %3D

A: As per our guidelines, we are supposed to solve only first question.  Kindly repost other question…

Q: (a) Show that if A is a diagonalizable matrix with non-negative real eigenvalues, then there is a…

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A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

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Q: The capital value of an asset is sometimes defined as the present value of all future net earnings.…

A: Solution