1 Evaluate using Convolution theorem : L

Q: Suppose PT RS. What information would you need to conclude that APTS = ARST using the SSS Congruence…

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Q: use B-furCtion definitionof devietive to prove that if fis diffevetiable arto, then fis…

A: Differentiability implies continuity

Q: b) Evaluate the intergral. Show (with your work) that it is Cunvergent and give its Value or that it…

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Q: Determine whether the given consuption matix is productive

A: Let C = 0.20.30.50.6 A consumption matrix C is productive if I - C is invertible and I - C -1 ≥ 0,…

Q: theorem Every Ving Can be imbeobling în aving with

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Q: Q4/Find Loplace transtorm of £(4)= et by using} defining fanotion ر م ) ) st e" dt

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Q: Find the projesiin Fisi+2j intro - Scaher componet

A: The vector equation is F=5i+2j. The vector equation is v=i-3j

Q: find all the Second order partial denvatives of the givén funcion fua、り) %3D

A: The given function is f(x,y)=exy

Q: Q3- Give an example of two denes not equal X subsets of (R,T) and (z, of ). ( Explain your answer ).…

A: Answere : The two example are given below :

Q: こ be terms Prove Find o of ů, ů. your resubts . in

A: Consider the given vectors: Here the objective is to find the vector w such that

Q: gion enclosed by y

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Q: 2. Is * commutative? If it is commutative, show it. Otherwise, give a counterexample.

A: Given, * a b c d e a a b c d e b b c a e c c c a b b a d b e b e d e d b a d c

Q: Functional theory and functional analysis

A: According to the given information it is required to prove that:

Q: Prove: AEFG is isosceles

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Q: Theorem 3: Ifconverges to l, ther any subsequence ofalso comverges to l.

A: We have given that sn converges to l. Let snk be any subsequence of sn. We need to prove that snk…

Q: 1 Using Convolution theorem, find L' ,2 |(s² +a²)?

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Q: 94) Show that F= ;². ?' is Consenvatwe and gind potintial - the sealar

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Q: Use Simpsons 1/3 rule to evaluate of e-x2 over the interval 0.2 to 1.5 using 6 segments ?

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Q: he have do find out the probabiuty that the Sleted Coin was tuo -headed Coin given that it shows…

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Q: Where does et tanget line - Bx* Have a harizontal a hor:zontal

A: Given:- y=ex^4-8x^2  To find:- Points where tangent are horizontal

Q: Q: Prove that tim %3D

A: We have to prove the limit

Q: Prove in duc tion: the fillowing usny the frimcifle of kiathemotical 1 +1 + + t 3. n+3 2n

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Q: Let x and y be non-negative reab· show that, use Proof by Contradietion X+4 2

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Q: 3. Evaluate using convolution theorem: ਕਰ S(514)

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Q: If ø + SCR is bounded above, then .S has a supremum إختر واحداً: ibs

A: I have proved by contradiction

Q: Is provethat V3 is lrrational hunber

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: Is z(√2) isomorphic to z(√3)?

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Q: 1. Prove with the resolution calculus -(PA-Q) -P (RAS) VQ

A: To prove with resolution calculus: ¬P∧¬Q         ¬¬P__________R∧S∨Q

Q: Verify Eular,s theorem for z =ax2+2hxy+by2

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Q: 2 Prove Ccos(n (ulx)] duc)

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Q: Prove the convolution theorem below, Eqn. 19a.

A: In this question, we prove the convolution theorem for Fourier inverse transform…

Q: c If in is an involution of X, show that (x, y)in = (yin, xin) is an involution of X2). %3D

A: Let X be a lattice We have to show that (x, y)in=(yin, xin) is an X[2] X[2] is a 2 x 2 matrix We…

Q: test the conver gehre and dvelyence n coscnt)

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Q: 9:Find the absolute exlemum Verlues of flx) x²-4x+24 over the interNal Cl,41

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Q: (a) Prove the following property: (:) - (.".)

A: Hey, since there are more than two questions posted, we will answer the first question. If you want…

Q: 6. Given: VT bisects LSTU. ZU LS Prove: ASTV AUTV Proof: Statement

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Q: 火2sin C&) for ダチo fcx) = { for x =0 show that Con tinods or not

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Q: What is thie generalizel union and intersiection of %3D where ^-10,1)

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Q: 9 Find the lies which degion bounded and area in in first eyuadrant 12-axis by Jine V= n=770 Give…

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Q: c If in is an involution of X, show that (r, y)" = (yi", xi") is an involution of X2). %3D

A: Given X is a lattice. Given in  is an involution of X To show: ((x,y)in=(yin,xin) is an involution…

Q: (c) Prove that 10 is not separable.

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Q: 81: Without evaluoting, show directly * = ? satiefy 2. %3D 2 -5

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Q: By using Cauchy Residle Theorem 到一2p 121=1

A: First we have to find residue at singular points.

Q: HW.12 Describe in your own words, what is Limear tram furmatim" How the' concept of meant by n…

A: Linear Transformation:      A linear transformation of matrix is changes the original value to the…

Q: show that fo=Ixl is Conlindalus everyuhere

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: What theorem shows that GTY = GUX? Osss O SAS O AAS O ASA

A: We have to check

Q: Consider the folowing diforential eguaion %3D Solve the diffirential rquation

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Q: Which theorem can be used to prove that ΔROM ΔΡΜΟ M P.

A: We can answer the question as below

Q: What is thie generalized union and interdection of %3D where 1-10,1)

A: As given,  λ is the index set for A.  Hence, there are two sets possible,  Aλ=0  =  [ -(1/0) ,  0]…