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A: Let a,b,c and d be integers such as ad−bc=1. Let u and v be integers and define u'=au+bv and…

Q: 18. Determine whether each of these functions is a bijec- tion from R to R. a) f(x) = -3x + 4 b)…

A: As per guidelines, we will solve first three subparts of the question. a) Given function is fx=-3x+4…

Q: Sketch the graph of the function and express the function in terms of the unit step function, u.lt).…

A: We will find out the required values.

Q: f(x)= 1 √1-x 寫 款

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Which of the following functions are analytic in 1ZK 2 and /or IZ ) > 2: iii) 2-√√24-42² 2²+62+9 ii)…

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Q: Show that if (xig)m.u. is re<rz , it is 8\x,r) C Blxirs] for Jx EX.

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Q: .A. Find the domain of the tollowling Fune tions :- 1. Fex) = V4-12X

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: is The functionFIO-Vx4iscontinusus onR. It cosă

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Q: 20E22. For each pair of Eunctions 'in Exercise 17-34: 9) Find the domain OF f,9, ftg,P-g,fg,F5…

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Q: #12- Fnd the indefinite integral of the follaung funchon and check the result by differentionion.

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Q: @ (3.+j4)*

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: Let u € C³, v C4, A = uv". Show that rank(A) ≤ 1.

A: This is consequence of one of the famous rank theorems. Theorem:For any two general matrices P and…

Q: On what interval is In(x² + 1) concave up? くxく

A: This question is about concavity of a function

Q: * H.W Let f:AC, 9:B D be two functiens sit flx) = 96) ha fug: AUB CUp VXEANB then defred by:. %3D…

A: SOLUTION- SolutionA Rlation R:X→Y, where X and Y are setsis called functions if each element of x…

Q: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

Q: PewHite F in sphethal cordmates and compute its diergence.

A: The divergence of F is 3

Q: Let x and Column n-Vectoks, wheto ñ> 2. find all eigenValues of tho matha xx-y4 whete dlethotes…

A: The answer is given below

Q: Prove that i 224 s 2xP for xzO, y zo i and 1 t L-l with p>

A: Given that x,y≥0. And 1p+1q=1 with p&gt;1. Consider gx=xpp+1q-x. Then g'x=xp-1-1 and g'x&lt;0 when…

Q: Sketch the regien enclosed by the given curueS Y = xe*

A: Question- Sketch the region enclosed by the given curves: y = x2 e(-x) &amp; Y= x e(-x)

Q: f. Is the domain of f(x.y)= In (6x + 5y“) bounded or unbounded? O Unbounded O Bounded

A: the domain will be Unbounded because

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Q: Determine whether the function f(z)=z^2+(bar z) is analytical at z=1+i, where (bar z) denotes the…

A: Analytical functions, also known as holomorphic functions, are complex functions that are…

Q: Prove that Vtan a de – 7//2.

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Q: let (Riae) be aring of real numbar's andf fg Eply R. Such That f= to,,-1,22010-) F-lo-してソの (hoラ-20 )…

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Q: What is the degree u = of the specified eement 33, F= Q (√3) u Over the Field F?

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Q: and n 12/22 -42 Z+6z Z722+2 2ナ z2, 4z+3

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Q: 4-j2 z = tanh¯(4e-j3)*

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Q: Find the set the units of the integral domain Z [√5] = {a+b√-5: a, b € Z}.

A: Find the set of the units of the integral domain .

Q: Jav f(u) /2x² + 12dx takes the form (и)du.

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Q: hnd the absolut max and min funcion fx,y)=(48x-lax²)cos L ón the rectangular Plate 1と×-3,-sys IT 4…

A: Absolute maximum and minimum: - Assume that f(x) is defined on interval I. 1. IfxM∈I and  f(x)≤f(xM)…

Q: that uni, o wthat (h) 3.

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Q: Q5:111M) A) Let f: [0,2]R be defined by (3 if xEQ if xeQ fx) = (2) feRn [0,2]. Show that (1) / is…

A: This question is related to limit and continuity .solve in step 2.

Q: $-Show tht tha Newton's inters of degree falating Polynomiat P), fassing through the Poinks (oay…

A: Introduction: An interpolating polynomial is such a polynomial having the least possible degree that…