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Q: Prove that arng Ris Commulative iff Satbj a?+2abt be , VaibER

A: Given : Ring R is commutative iff(a+b)2=a2+2ab+b2

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

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Q: get an 6Usc Thesrmn to show that -x gra) = 2 has a unique haed %3D point on

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: 2rint thedemain and Yange Fanctions 131

A: Domain:it is the set of value of x of a function which will give output y.it is set of possible…

Q: Not sure how find these

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Q: Prove that if AC-00, +oo], then sup(A) = - inf(-A), where -A = {-a: aЄ A}.

A: Step 1:It is provided that, A⊆[−∞,+∞] and −A={−x:x∈A}Let's assume that, A isa a non-empty bounded…

Q: If 9 = {(1, y) |1 ≤ x ≤ 3,3 ≤ y ≤ 6}: D then: 11,3 dr dy

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Q: O SS O SAS ASA O AAS SSS SAS O HL ASA O Not Congruent AAS HL Not Congruent

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Q: 4 Given fax) = 3 Caloulate flA) with domain (2,'e

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Q: Dieuss the coutin DReuss the couktmuty yalloweng e. abd Also temd domain Jand

A: The domain of the function is the values of the variable that gives a defined value of the function.…

Q: x + 1 is not f uu ction 1] True 2] Fulse

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Q: on Give an crample of a dis continous bijection fo[at] = [1,2]

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Q: Let a,b,c eZ. If a|b and a |c then a' |(b² =c² ). nsi2

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Q: find the denivahon of the Runchon bydsing herules ofditkreohe lhon fee) = 7 %3D +260 .3 2.

A: We need to find the derivative of given function. fx=7x3-8x2-1x+250

Q: if it was then a) 2. b) 1> ċ

A: Consider the given information as 1&gt;c&gt;0

Q: れお! /0 fi23)=4 4 (か) 2,十 F) Eanals it Ofiles)= 12 D Not if tha above

A: Given: Fx,y = x3y2 To find: Fx2,3 We know that Fxx,y is differentiation of Fx,y with respect to x ,…

Q: Ex) Let fR R be given by frxx3D X+2 リ=× Is fa) Continuou s? justify your answer. me have.

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Q: O let X be fe VrV Finel ECX) ael E(x)

A: Note: As per guidelines we can answer only one question at a time. I request you to please repost…

Q: 2) find a general salation you t 4y! + CTT? +4)1 3D 2. B

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Q: O Find the any le Ô be trween Hhe wer tone. (Ram! vel your answa to tuo deaimal plaie.) pa)=1+ X-ズ,…

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Q: If z = x + iy, where x and y are positive, then z = a + ibhas a and b positive. ... A) True B False

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

Q: 7- Evaluate:

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Q: Let f(x) ={ 2+ Vex-x , for os x 2 } 2 4 evaluate fCx) dx and I f6) dx

A: Given piece wise function as, f(x) = 2+2x-x2    for  0≤x≤24-x                  for  x &gt;2we need…

Q: if A = | メ %3D Hint A = B %3D -3 B = %3D 1) find x and y 2) The muti Plicative inverse of matrix B

A: Multiplicative Inverse  The multiplicative inverse of a matrix  is equal to the identity matrix when…

Q: 2. K42

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: UsxこUt UCot)< u(Sょ) =0 ucx,o)こX separation of V ariable methsd

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Q: 2. If f(x,y)= te Vy of=D0 then show) that 49 c) of af =0 dxay

A: Consider the given function. fx,y=1yex-y24y (i) First, we have to show that ∂2f∂x2-∂f∂y=0. First,…

Q: let X be 4-VV flon)= To Finel ECX) oedECXY)

A: f(x) = x/10 where xx = 1,2,3,4

Q: If w=f(p, q, r), where p-z2-y², q=y²-22, and r = 22-2², show that 1 Ow x 8x + 1 8w у ду + 18w z Əz…

A: Given w=f(p,q,r)and p=x2-y2,   q=y2-z2 and r=z2-x2

Q: L [1\ucos Puf) Ju

A: 1st we will find value of integral using integration by parts and then use Laplace transformation…

Q: WORX Gavlen flw)=x-d g6)= V-(x-6)" WOP Mekong Delta Find the derivatve Nlx) guven

A: Given:- f(x)=x-2 g(x)=4-(x-6)2+2 h(x)=x-6 We have to find the λ'(x)=? Given that,…

Q: F{xe-9#*} = a) None of these b) de-36 O c) ivT Xe 36 54 d) 36 O e) de-91?

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Q: 15 - 4r*y dy dr 0 JO a) O 16/3 00 b) O 14/3 c) O 15/3

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Q: 3. If y x +2 and u = 2x -1 then %3D du a) x b) 1/x c) 2x d) x/2 e) None of the above answers

A: Given that y=x2+2 and u=2x-1To find dydu

Q: (8) Let a and b be reel mumbers such that a>o and bo and beD is not enough to gire a uniform formula…

A: No option is correct. Correct answer will be: - arctan(b/a)

Q: %3D otheowis Jiven that Pa) is apd f O find c ?!

A: 1) The value of c is obtained below: Given pdf is, f(x)=cx, 0≤x≤2 ∫02f(x)dx=1∫02cxdx=1   cx2202=1…

Q: let f [o2]→Rbe afunction if x<1 fex)= Is f Riemaninteglable? 下くx か

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