Define two operotions + Pw + on A=ZK ars follous Aor lo,6l ond (Gd) in A (0,b)+ Cerel = Care, btd) ond (9,6)(c,dl= (ac- bd, bc tad) Show that for every Ca,b) nd (c) in A. there exer'st Ce,e lond (rs in A Such the t (a,bl = ((P, q) * (cidl)+ (ris) p?+s?

Q: Give an enumeration procedure for the set L = {ab*a™: n> 1, m >1}.

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Q: 3. Evaluate the line integral for fxzds on the line segment from (3, 2, 6) to (7, 9, 10)

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Q: Giveni SP bisects <RSV meRST =2x+3y のTSV= 3xーシ+2 m2RSV =8D find: x and

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Q: Ô https://goformative.com/formatives/60330743bf7e5fd79fe6f606 Q ta 3. In the diagram below, R is…

A: Formula used-  Mid point formula=  (X,y) = ( (X1+X2)/2 ,( y1 +y2)/2 )

Q: EX: Let S.[22] be asubset of IR Si-[-2-4J; S₂ = (-1,0]; S3 - (04]; S4= (1>2] {Si}, is a…

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Q: The normal modes of a fixed string which is plucked or struck are given by Select one: a. ob. C. cos…

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Q: Show that every positve colufion at Ay + B, k=osl,2 bounded, %3D JK is i-e, osysB-if A<1. 1-A

A: Question: Objective is to find the upper bound of     yk+1=Ayk+B, k=0,1,2,... where yk is positive.

Q: O det f: (24, Q) → ( % -103, O) be a funchon defi'ned bey Ho)= 1, fi) = 2, f12)2 4 and f13)=3. Prone…

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Q: For Set [le₁>= (1), 1e₂) = (b), (₂) = (?)] then by Gram-Schmidt procedure chevye the above Set to…

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Q: Evaluate , 5y²dV where E is the reqion below x + 3y + 6z = 9 in the first octant.

A: Given: In the first octant, evaluate∫∫∫E5y2dV , where E is the requirement below x + 3y + 6z = 9 .

Q: の X(0)=0 X6) = 0 2. ニ

A: In the given question we have to tell about the eigenvalue of the equation s.t…

Q: ) How alutiino a. many ths to the eguotin X, + X2 + X3 +X4 + X5 = 10, uhere poitine integoro ? X,,…

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Q: 6. Prove that ſex*dx+rydy = Sc r*dx+xydy+Sc, r*dx+xydy+Sc, x*dx+ rydy.

A: Prove that: Where c is the curve of the integral. The curve c is divided into piecewise region.…

Q: As I askes you in the last quation about the new region but I dont understand about some step as I…

A: We are asked to find the limits for y

Q: A S O Consi der Hhe folhning {(01), (-1,)}, B = [x]e - [;] %3D O find the fransi tion matria from B…

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Q: It G acts set tdansikivey then show that y Salgdnap Hof 0n A by to the actioh af en A fusthus then…

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Q: ii) √²√³ xy² S¹S. -dydx -3 x² +1

A: Evaluate the iterated double integral.        ∫01∫-33xy2x2+1dydx

Q: X Y Z' WXXN W. Y ED O XYZ' + XY + WX'YZ (XYZ)+(X+Y) + WX'YZ F

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Q: 9)Se-e* dx = -e-x ex+e-x a) Inje* - e-*| +c b) In |+c |e*. c) In Inle* + e*+c d) Inle* + e*|+ c

A: According to our guidelines, in case of multiple questions we should answer the first question.

Q: Evaluate x²dV where R is inside x² + y² = 1, over z = 0, and under z² = 4x² + 4y² R

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Q: Cansider X= {1,2,., 1a0) tagether with the longest 6-algebra PX), (pouwer set of x). Define Mcors…

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Q: Ex:3) Let x Ø. Let u*: p(x)¬TR bean outer measure. Then リ* (AnB)>*[A) +μ*[8) りが(A1B)<* 16) 3) H* is…

A: As X is a non empty  set, and let P(X) denote its power set. A function µ∗ is the outer measure on X…

Q: Let F subset of K , where dim_F(K)=2. Show that K is normal over F . I Need typed solution…

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Q: If I recite the preamble, then I will pass the subject and I will get an A. G) * O R-SAA O (R→S)^A…

A: The connectives are used to connect two statements. The connective implies → is used to connect the…

Q: 2 et x f cx)=1,0<x 2. et =-Inx, find fcy)

A: Given that the pdf of X is f(x) = 1, 0 &lt; X &lt;1 We will use method of Jacobian to find the pdf…

Q: is x=0 considered a vertcial asympptope?

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Q: If (x* – y*,x – z°) = 0,z = z(x, y), prove: az y3 az +x³z4 ax - %3D ду 3

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Q: EX Pand Pa= Va lid for ocl2-21<3 9s laurentSeries (2-2)(1+2)

A: Laurent series of a complex function f(z) is a representation of that function as a power series…

Q: that f 1s a continuous on IR Creal a nd h ale odif feren tiable funcho ns mberr). I denhfy a for…

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Q: |U( Z Ð Z O Z O Z)| is: O 2 O 16 8

A: We have to determine the number of units in the given algebraic structure.

Q: the fureing drue or false. Ansuer statemont R , # defined on by axbega+3b やs not associative whede…

A: Fy

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.