Prove that if an integer m has the same parity as an integer n, 5m + 7n is even.

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Q: 1. a) b) Use row reduction to find A-¹ of = 1 0 2r -3 4 4 Use the result from part a) of find the…

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Q: Can someone add explanation along with the answer. Question: Find the Lagrange's interpolating…

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Q: 33. Solve( L-¹. 3x+16 ²-5-6

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Q: 22. Solve the followings problems: a²w a²w Ət² W (0,1)=W (2,1)=0, W(x,0) = 0.05x(2-x), W, (x,0) = 0…

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Q: Find Laplace transform f(t) = 1- cost 1-cos3t f(t) = te sin at -3t

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Q: Given the demand function D(p) = √325 - 2p, Find the Elasticity of Demand at a price of $17

A: We can find elasticity of demand .

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Q: Solve the following Linear Program using the Two-Phase Method: subject to maximise z= x₁ + 2x2 + x3…

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Q: (g). (h) (i) Is f(A) connected? Explain. Is f(A) compact? Explain. with x € R+ = {x € R | x>0}. n…

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Q: find the Laplace transform f(t)= te sint

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Q: 1. Let S be the triangular region in R³ with vertices at (2,0,0), (0,6,0), and (0,0,3) with upward…

A: 1 Given S be the triangular region in R3 with vertices at 2,0,0, 0,6,0 and 0,0,3 with upward…

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Q: The circle below has radius 1, and the longer circular arc joining A and B is twice as long as the…

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Q: Congruence conditions (mod 20) for primes p for which -5 is a square (mod p).

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Q: jwF(W) = F(w) = T -jut Sqbote 4 Saps eibertat + -T A [eju+] = # [ @juy)] T -T -jw -jw AT Sim ² (WI)…

A: Assuming that the previous step is correct, we have

Q: Find F.T [e-t sin(wot)u(t)] sin(wo₂) = [ewot - e-wot] 2j

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Q: Exercise 8.1. Let G₁, G2, ..., Gn be a finite collection of groups. Prove that and only if each G;…

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Q: a) Obtain the numerical solution of the differential equation y' = 2(1+x) -y by Euler method,…

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Q: 1. Let S be the triangular region in R³ with vertices at (2,0,0), (0,6,0), and (0,0,3) with upward…

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Q: a) Nizam borrowed some amount of money from Barjaya Bank to purchase a new car. He has to repay…

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Q: Find the sum of the finite geometric sequence. (Round your answer to three decimal places.) 30 Σ()

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Q: Use summation notation to write the sum. 0.4+ 1.6+ 6.4 + + 409.6 Σ n = 1 SERS-39E- DES SETE 150 MER…

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Q: Find the statement Pk + 1 for the given statement Pk k² 5(k+ 2)² рк =

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Q: Let GZ16 × Z4. (i) Construct a surjective homomorphism : G→ Z8. (ii) What is ker()? (iii) Show that…

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Q: 3. Express the limit as integral: n lim Σcos (27xt Ar 2(2πχ* ) over [0,1]

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