[2 A = | 0 1] 1, = 2, x, = (1, 0, 0) 2, 12 = – 1, x2 = (1, – 1, 0) 3] 13 = 3, x3 = (5, 1, 2) 3 - 1 |

Q: [ 1 If A= -1 0 find x and y such that (xI +yA) = A

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Q: Find g(u(х, у, г), в(х, у, г), и(х, у, 2)) if g(x, y, z) = z sin xy, u(x, y, z) = x²z", v(x, y, 2) =…

A: Given:  (1) gx, y, z=zsinxy (2) ux, y, z=x2z3 (3) vx,y,z=πxyz (4) wx,y,z=xyz To find : gux, y,z, vx,…

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A: We need to find the solution to the threshold problem in the next wave equation by the variable…

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Q: Show that f(z)dr: S(#2-2) +4f(r2i-1) + f(#2)]- an"(c.)} m-1 h4 (0) +2f(2) + 4f(*2-1) + f(*) I80(6 -…

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Q: Find S ∩ T, (S ∩ T)c, Sc ∩ Tc, S ∪ T, (S ∪ T)c, and Sc ∪ Tc (1) S = (0, 1), T = [1/2, 3/2]

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Equations of tangent lines by definition (2)a. Use definition (2) (p. 130) to find the slope of the…

A: (15) Consider the provided function, fx=2x+1; P0,1 Use definition to find the slope of the line…

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Q: 2. Show that c(x, t) = solves 1 ac(x, t) 2 ax ac(x, 1) ar

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Q: 3. Show that if A-1 exists, then f eAT dr = A-(eAt – I) = (e4t – I)A-1.

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Q: 1) A (2, 5) and B (4, 3) V (x2 – x1) ^2 + (y2 – 1) ^2 V 2) F (1, 7) and G (6, 0) V (x2 – x1) ^2 +…

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Q: 1 If z = 2 V3 -i, then find ()*

A: Given complex number is: z=-1-3i2 Find the conjugate of complex number: z¯=-1+3i2 Find z¯4?

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Q: xy If z show that: x- y

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Q: 2- Let z=x+iy. Find a) Img(1/2) b) Re z c) Img (1/z')

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Q: Show and use d(Xn, FCN))<« d(Xn-1 'x) Vny? To prove X = fx) %3D

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Q: Question 34 Someone is mortal (H- people; M- mortal) Vx (Hx--Mx) Vx (Hx-Mx) 1. O ax (Hx & -Mx) 3x…

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Q: 4-Find the coordinates the front trace F for line AB, if A(2, 1, -2) and B(3, 3, -5). * O (1,-1) O…

A: A=(2,1,-2) B=(3,3,-5)

Q: 3e dt 10. SET A.

A: We will use the concepts of definite integral

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A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

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Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

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Q: Suppose we observe X1, X2, ..., X U (0, 1). Show that nX(1) 4 Exp(1). с.

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Q: Is 1z = 1 for all z ∈ C?

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Q: 4. Let A %3D {a, b, c}, В %3D {x, у}, and C %3D {0, 1}. Find a) АхВх С b) СхВхА с) СхАх В d) ВxВxВ.

A: Given that: 4. A={a, b, c}, B={x, y}, C={0, 1}   NOTE: As per our answering guidelines, we can only…

Q: If Σa, is divergent and Eb, is divergent, then Z(a + b) is divergent.

A: The given statement is false as sum of two divergent series may converge. We illustrate this as…

Q: Find (T3 • T, o T1)-1 if Ti 1(х, у, 2) %3D (х - у, — у, х+2) T."(х, у, 2) %3D (х -у+z, 0, 3x) T(х,…

A: This question is related to linear transformation . See 2nd step.

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A: Consider the equation

Q: 9. Using the fact that ||u|| = 2, ||v|| = 3, and u x v = (-1,5, 1), find u · v.

A: You have asked multiple  questions and not mentioned  which questions answered you need , so…

Q: If x1=3, ,x2=3, xn=−6xn−1−5xn−2, ∀n≥3x1=3, ,x2=3, xn=−6xn−1−5xn−2, ∀n≥3. Find the general tem xn

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Q: homogenous DE 3udv-vdv-udu-vdu=0

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Q: ii) under z = x² - y² and above the square R = [1,3] x [-1,1]

A: Please see the below picture for detailed solution.

Q: 12. Show that F (x, y, z) = xy +xz + yz has the value 1 if and only if at least two of the variables…

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Q: In Exercises 61–64, find an equation for the level surface of the function through the given point.

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Show that if X gamma(r, A) and Y ~ gamma(s, ) independent, are then X + Y is gamma(r + s, ).

A: X~Gammar,λ fx=λrΓre-λxxr-1,     x&gt;0, r&gt;0, λ&gt;0 Y~Gammas,λ fy=λsΓse-λyys-1,     y&gt;0,…

Q: Example 3.8. For r = 1, 2, 3 and y = 1,2, let the joint pmf of X and Y be defined by x+ y fx,y(x, y)…

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Q: x, and x, in terms of t.) 2 1 -1 1 1 -1 1 2 1 2 2

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Q: 1. If f(x) = x- 1 and g(x) = x2 – 2x + 1, then (g -f)(x) =? 2. If p(x) = 2x2 - 2 and q(x) = *, then…

A: Composite function:f∘gx=fgxArithmetic combination:f+gx=fx+gxf-gx=fx-gxfgx=fx.gxfgx=fxgx ;  gx≠0

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A: Differentiate wrt y.

Q: 1 -1 1 -1 1 1 A = 2 1 1 1 , compute the rank of A:, i.e. r(A) 3 1 1 0 1 3 0 5

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Q: 5) Let z = f(x2 - y²). Show that y = 0 ду %3D ax

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Q: Let S = {2x, 1 – x, x² + x – 1,x + 1,x – 2}. Then %3D P3 P2

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Q: Suppose that X ~ Unif(-1,1). Compute (d) P(X = 0.5), (e) P(X² > 0.5).

A: Let ,  The pdf of X is ,  = 0 ; otherwise Our aim is to find the following :  d) P(X=0.5) e)…

Q: 4. Prove the statement of 3 on page 9 of lecture notes 10, i.e., SSE xa-1)(0–1)*

A: The given model is, yij=µ+Ai+Bj+∈ij    where, i= 1, 2.......a and  j= 1, 2.....b∈ij~N(0, σ2∈)Testing…