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Q: 1. Let U2 = 2. fui, 4.} is an orthonmal basa fo IR Show that

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Q: Use the tabular method to to prove the following in general 1. (ANB) C (AUB) 2. ΑΔΒ = ΒΔΑ.

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Q: E valugte the cube raot of z when 2=27 Cis(210) ( Let 0s GS360°) Smallost ☺ ualus) targonst ualue).

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: 47. Sketch the triangle with vertices at the origin 0, P = (3,3,0), and Q = (0, 3,3), and compute…

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Q: A B What other information is needed to prove AABCY ACDA by the HL Theorem?

A: Given : ∆ABC≅∆CDA

Q: A natural cubic spline is defined by Sa,(x-1)' +b,(x-1)² +c, (x - 1) + d, S(x) =- if 0sxs1 (x- 1)' +…

A: Step:-1 Since, we know for cubic spline S(x)=S0x=a0x3+b0x2+c0x3+d0…

Q: 3. Prove that sinOtcos=1.

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Q: 4 Q: Is A- (: ) dingonalizable ? %3D

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Q: 9 IP A,Be Mnl(R) with A being nou-singular, show that (A-B) A-! CA+B) = (A+B) A! CA-B) %3D

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Q: Find the Fourir for fcae) = (1+x) [-x, ] %3D

A: Given function is fx=1+x and −π,π We have to find the Fourier series of fx. The Fourier series of fx…

Q: we divesgencatheosem to evaluate + XzK. dA cohose sisthe boundasy of cube definedd by

A: By divergence theorem we convert the given surface integral to the volume integral, and the region…

Q: 5. What is UF, where F = Ø? Prove the correctness of your %3D | computation. answer

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Q: - check the exi's tence of limol of the Lunetiom 41n at X= 1 %3D 2X+/ こ Xラ-3

A: To check: The existence of the limit of the function. Given: The function is fx=2x+1     -1≤x≤1x22-3…

Q: A hransfoomation is definad by Hhe axa matox A=-a b-a atb Ifois an odd imtreger, prove %3D ushere a…

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

Q: (b) In(2x2 + у — 23) %3D х

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Q: find the fimet Qurtal dernratives 7 respect to rarraes X,4,Z.

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Q: Find the rank of A= = xS+ x + invertible. [exham S] O A MOITERUD 225 10-4 and explain why it indic 4…

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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: is bijection. Do the same thing with Z,.

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Q: Complete a two-column proof. Given: ZRSU VST Prove: ZRSV LUST

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Q: どタ -e -at u Ct) = (a +jwjñ+!

A: To prove that tne-atut↔n!a+jwn+1 It is known that  ut=1 , t>0=0, t<0 Therefore,…

Q: ☺ show dhat 2) G(x,x) => Uola) Uorlo) were G is green funcfion

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Q: What part is needed to prove the triangeis are congruent by SAS?

A: Choose the correct option.

Q: Suppose X has n elements and Y has m elements. How many bijections X → Y are there?

A: To find: The number of bijections X → Y are there. Given information: X has n elements and Y has m…

Q: 5. Use De Moivre's Theorem to evaluate (1 – V3i)%.

A: Demoivre's Theorem

Q: Prove that • I %3D

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Q: Let Polynamial. has infinitely mny Toats, R-ZO7. Show t the (1,0)xin roots, Sol

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Q: show by of R then IUI is not ideal example if In and Iz are icdeals an

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Q: 1. (10 + 7i )®

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Q: Which of Zs, Z, are cyclic?

A: A cyclic group is a group that can be generated by a single element.

Q: Show that K, is not planar.

A: To prove: K5 is not a planar graph. Proof:  This is proved by the method of contradiction. We use…

Q: Find the maaimum and miniryem Valiaes of e feencteon Cif exits) feny) Luž-3ary

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Q: -3 [-1+v3i]

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Q: Describe the tronsformaton that must be performed, On the of y=&5)*-3 gaph of y= xh to Obtuin the…

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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: Show that the equadion Can also be obtaind from the fellowing squation 4(一 20 where and

A: The function is a rule that associates or fixes a number to the particular point x. If , then the…

Q: = 3 find the equotion of the toggent plone at paint (-2,1,-3) of th ellipsoie

A: We will do partial differential of function with respect to x,y,z.

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…

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Q: Let flx)= a cose + 3 Sinse with (o,f to)), (,2) and (T, 2 ). Use Muller's method to find a quachatic…

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Q: 3 tari' (xty) , Prane that x2+ ydz Sen 2z be

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Q: Explain the fundamental theorem of albenra?

A: To explain: Fundamental theorem of Algebra

Q: The segment addition postulate can't be proven using a two column proof. O True O False

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Q: Find the polynomianl degree 9 centered at 0 that best approxixmates f(x)= f(x)=1/ 7sqrt(1+x^3) Now…

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Q: Find the COM of the laminas in Figure 26 obtained by removing squares of side 2 from a square of…

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