Find the kernel * veal num bers are the linear trans formation. (if al alutins, euter REALS.) T: R-→R, TC ×J) = (x +y, 3y-x) ker (4) = { : x.geR}

Q: Let A be 4x4 and det(A)=3. Then det(24)=. and det (A" A)=.

A: Given A be a 4×4 matrix and detA=3

Q: Draw the Venn diagram with the following information: ANBNC={√2, √-1}, (ANB) NC'={2%, 00}),…

A: Here we eight disjoint parts , putting into them we can construct ven diagram

Q: Find ||uLy|| in Figure u= (3, 5) = (8, 2) P. FIGURE

A: v=(8,2) u=(3,5) uv=?

Q: Rind the Domain Jx-3 x2 16

A: Given query is to find the attached domain of the expression.

Q: O f(x) = x3-6x²+9x+1 funct lon is given d) Find the equation f@ =0 `s real rost with linear…

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Q: If A is diagonalizable through D= (P^-1) A P then the diagonal factorization of A = P D (P^-1)…

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Q: for Y^2 = x^3 + 4x + 3 (mod7) show that points on the curve are: show that (1,1) + (5,1) = (3,0)…

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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: All of the following are equidistant from the point (6,8) EXCEPT о (6, —2) 0 (-2, 12) о (16,8) O…

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Q: Evaluate Laplace of [9e^-5t + 2e^3t + 6t^3 - 10]

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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: Let 1)" Find sup A and inf A. Provide some explanations how you got their values or why they don't…

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Q: lim G 5m-7 2m+4 o Show Transcribed Text without using hopital rule

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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

Q: The function f(x) = |ax - b| + c|x| : x in (-∞, ol where Find the

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Q: b22 Such that/2/-1E andArg 4.

A: We find complex number

Q: xʻy Let f (x, y) = if (x, y) # (0,0) and f (0,0) = 0. (x4+6y8) r4.

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Q: Simplify (qq) to F 1. Select a law from the right to apply -(q→¬¬q)

A: We have to simplify the logical expression

Q: Find the orthogonal trajection of the family of y=ax

A: In mathematics an orthogonal trajectory is a curve, which intersects any curve of a given pencil of…

Q: Let V3 = {(a, b)|a, b E R} with the following operations: (a₁, a₂) + (b₁,b₂) = (a₁ + b₁, a₂ + b₂)…

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Q: -5= =DS"S"?{(m-3)x²+³"(m - m x- ? y)'-4myx] dydx

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Q: Show validity: Vxр (х, f (x)). Vx3yp(x, y)

A: Please check the answer in next step

Q: [2 4 21 A = l1 3 1 1 1 B = -2 -1 [2 4 D = 4 C = 1 3 21 -1 %3D 2

A: Given A = 242131B = -1111-2-1C = 242131D = 1-1-1-121 Clearly  C = AD = -B

Q: how did the y' and 2y' apearred out of no where in line 7

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Q: 10 8- A 6- 2 -10-86 246 8 10 B -8 MathBits.com -10

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Q: Find the Polah farm of Z=(-1+)

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Q: 1. Use semantic tableaux to prove or disprove each of the following. (a) (p^q) V (p→ (p V-q)) is…

A: Solution:- Step 1: Write the negation of the formula we want to prove. Step 2: Construct a semantic…

Q: Find the resolvent kernel and Solut of ya) = I+5(1-3x+).y(t).d by Alternative procedure

A: Given Integral equation is y(x)=1+∫01(1-3xt)y(t)dt               (1) The general form of integral…

Q: 40. Regression analysis makes use of the relationship between two or more quantitative variables so…

A: ...

Q: nd y axsis labelled ?

A: Morphospecies on A Morphospecies on B Morphospecies on C 7 13 3 7 9 4 2 4 4 4 4 2 11 14 10…

Q: & 18) Vaing showj that the idently in

A: Using the identity 1+x2n=1+xn1+xn,                . . . (1) we want to show that 2nn=∑k=0nnk2.…

Q: 1 의( (eat – ebt)} = %3D la-b (s-a)(s-b)

A: Here we have to prove that,  L1a-beat-ebt=1s-as-b

Q: List all cosets of (([1]3, [2]6)) in Z3 × Ze

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Q: 11) Find x if ST=x+3 and SU=2x/

A: