1. Use Direct Proof to prove that the product of two consecutive integers is divisible by 2.

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Q: 3 1 2 3 2 Из Suppose that the CTMC models an M/M/1/3 queue. What are µ2 and u3?

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Q: 4. If y = tx, where t is the parameter, what are the parametric equations of the curve x' +y° = 4xy?…

A: The solution is given as

Q: (g) There are exactly six prime numbers p with the property that x81 = x (mod p) for every integer…

A: 1. For prime number p = 2, by Fermat's theorem,         x2-1 = 1 mod 2       => x = 1 mod 2…

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A: If we want to integrate f(x,y,z) over the region R. Under the transformation x=g(u,v,w), y=h(u,v,w),…

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Q: T ANSWER IF YOU ALREADY ANSWERED THIS. DO THIS TYPEWRITTEN ONLY. I'LL UPVOTE DOWNVOTE IF HANDWRITTEN…

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Q: Determine if the Find the transformation às loncar. gien image ot C62,3) ī (xiyız)-(x+2y, 3z -x) of…

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Q: Use the future value formula to find the indicated value. FV = $4512; n= 15; i = 0.08; PMT = ? PMT =…

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Q: ren 2.2x2 + 1.5x3 – 3.3x4 = -9.30 0.2x1 + 1.8x2 + 4.2x4 = 9.24 -x1 - 3.1x2 + 2.5x3 = –8.70 0.5x1 -…

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Q: By using shell method, find the following volume a. y = (x-3)2 and line y = -2x + 6 about x axis

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Q: space of pölynömials öf degree less Let g1(t) = 1 and g2(t) = t. Find a ba he subspace of P3 spanned…

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Q: -" G) - sin- (). for n eN = {1,2, 3, ...}. Let an = sin n+1 (a) Determine if the sequence {an}1…

A: Note the following facts.

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A: We have to draw the Venn diagram.

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Q: *(u pou) q. Therefore, the solutions are those integers x such that x = a (m)-1b (mod m). Example…

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A: We have to set up the integrals (a) the perimeter of R and (b) the area of R

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A: Introduction: The standard form of the vertical ellipse is given by, (x-h)2a2+(y-k)2b2=1 Where (h,k)…

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Q: Question 5 Let a and 6 be positive real numbers and b + 1. Find a + bif the exponential function…

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Q: Use Taylor series to prove the following finite difference approximations: (a) f()(x) = r, fi-2 -…

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Q: [a, b] and let (fn) be a sequence of functions on I → R that converges on I to f. Suppose that each…

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Q: what is the Hall's Matchings condition And give examples

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Q: Additional Problem 2: Prove that the quantity tz =1+ ++...+!- In(k) is a monotone decreasing…

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Q: Is the point (13, -6) on the circle defined by (x– 13)²+ (v-+ 6)² =9? O Yes O No

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A: Given  ex≈1+x+x22  over interval  -57,57

Q: Q1 Solve the second order differential equation; Y" – 5Y' + 9Y = 0

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