2) Let R real numbers, define < x,y >= x,Y1 +4x2y2 + 6x3Y3 for x = (x1,x2, X3) and y (y1,y2, Ya). Is < x,y > inner product or not.

Q: List all the subsets of {x, y, z, y}.

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Q: Let In, f be real fun ction on 52.Show {w : fu(w) yo frw) }=Ŭ o U {w-1fu(w) %3D f(w)1>と3

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Q: Given the functions fAx) = x - x and g(x) = x- 1, determine an equation for the combined Ax) y =…

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Q: Determine the positive real numbers x and y such that • x + y = 4 and 2.n2 + y² is small as…

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Q: m) Linearize : -3x 天ェ_= around %31

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Q: Find the coefficient of z in -5 "Co-"C +"C2 +(-1)" 27

A: Consider the given binomial expansion: C0n-C1n2x-1x+C2n2x-1x2-.......+-1n2x-1xn Here, the objective…

Q: Suppose Duf(xo, Yo) exists. Show that Duf(xo, yo) = - Duf(xo, yo).

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Q: Create 1 function for each of the following parts which has the following domain: a) [0, ∞)  b) (0,…

A: We have to Create one function for each of the given domain. “Since you have posted a question with…

Q: be the map O Let f Sending cach Complex number

A: The detailed solution is as follows below :

Q: Shade (A U B) ∩ (C-A)'

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Q: (a) Let M = R. Give the radius r and the center c of B(-2,5) n B(6, 7). ne

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: t U=(-5,9) be universal and set A=(-3,4)  B=(-1,6) , D=(0,8) Find the following: (i)(AnB)' (ii)BuD'

A: We can solve this question with the help of number line: Given set  U=(-5,9) A=(-3,4) B=(-1,6) And…

Q: Let v1 =[1,4,-2] , v2 =[-2,-3,7] , b =[4,1,h] FIND all value(s) h such that b is in span{v1 , v2 }

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Q: Give a geometric description of the set of points whose cooridinates satisfy the given condition x^2…

A: Given that a set of points whose coordinates satisfy the given condition

Q: Use direct prove to prove that for any two positive numbers x and y, x+y Vxy s 2

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Q: Prove (z1z2)bar = (z1)bar (z2) bar

A: The objective of this question is to prove that the conjugate of the product of two complex numbers…

Q: Assignment Fors (n) = 2x + 4 (os (*/8), KER An Write a math Lab program (f Corresponding to f

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Q: for the discrimanat here dont we do (Uxy)^2-(Uxx*Uyy)

A: Please see the below picture for detailed solution.

Q: Is f(x) = x0 DNE 17x + 1 a polynomial function? If it is, give its degree. (If expression is not a…

A: We use definitions of polynomial function and degree of the polynomial to answer the given question.

Q: Evaluate W(1 + x, x, x^2

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Q: 4. If X and Y are independent RVs, then O2+ ,(@) = ¢,(@) × ¢,(@)

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Q: What is the range of the following function? 43 -2 7 5 4 3 2 1 & M T -5 a) {yÎR|y¹0} b) {yÎR} 1 2 d)…

A: Sol:- (1) Range of any function is represented by value on the Y-axis Correct option is (b)

Q: (b) Let U = [-5, 10] be the universal set and X=[-2,7), Y = (-1,4] and Z= (-3,6] be it's subsets.…

A: See below the answer As per bertleby guideline I have to solve only first three subparts. So for…

Q: Let W1=span{(1,1,0),(-1,1,0)} and W2=span{(1,0,2),(-1,0,4)} Proove W1+W2=R^3

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Q: Let flox) - I=39 1-3x %3D

A: Answer and explanation is given below

Q: a) Prove the one point rule - 3-version: (3x)(x = t ^ A) = A[x = t] if x is not free in t. b) Prove…

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Q: V = { (x1, x2, x3) E R^3 |x1 2 0, x2 + x3 = 5 } of the set R^3 a sub of Show whether it is a space.

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Q: - R-{-}→R-{} defined by f(x) = Show that f: R 3x-5 2x+1 is bijective.

A: Given function is f: ℝ - -12 → ℝ--32 such that f(x) = 3x-52x+1

Q: Prove that proju(proju(v)) = proju(v)

A: Prove thatProju ProjuuVI=ProjuuVSince ,         ProjuuV=u ,vu2.u-i

Q: Is {(3, 4)}Linear combination of {(1, 2), (2, 4)} show all the work and state why or why not.

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Q: Given that x, y, and z . Prove that if (x^2)|y and (y^3)|z, then (x^6)|z

A: Solution: The objective is to prove that the given statement