Suppose that x = x(u, v) ạnd y = y(u, v) are given implicitly by system (u = x + y ! (r + 0). a)show that du (1 + !) b)express in terms of a and y

Q: 2) Show that 2m +1 m P(x) m +1 -xP (x) m+1 (x)F

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Q: Prove that Cov (x, y) = E (xy) – E (x) E (y).

A: Cov(x,y) is covariance of x and y. E(x) is expected value of x E(y) is expected value of y.

Q: tind out Put ot the system if - 2< t <o X(4) = o<もく2 4(4) - u(t-1) %3D o ther wise X(+) hu)

A: Find the evaluation for the function h∘Xt for the different intervals.

Q: Suppose 71 and 72 are solutions of the system A = b, where b + 0. Let aj and a2 be scalars such that…

A: Proceed as shown

Q: Write y```+ ay``+ by` + cy = ut as an autonomous system

A: Please pay attention to the system below. It's quite symbol, just pay attention:

Q: If A = (a, b) and B= (b, c), find: (i) (AUB) (ii) (AnB)' (ii) A'UB

A:

Q: (1) Cov(B1, yı) (2) Cov(Bo, Y1) (3) Cov(Bo, j)

A: Let Y = β0+β1X+εi be a linear regression model with the distribution where β0 = Y-β1X¯  and β1 =…

Q: If U = xz - x²2y + y²z², evaluate div grad U O2y + 2z²+2y² O -2y + 2z²-2y² O2y-2z²+2y² O2y + 2z²-2y²

A: I have given the answer in the next step. Hope you understand that

Q: -64m12+ 24m10 1) 4m

A:

Q: Convert into a system of first-order equations. a) ○ [*1*₂*2= x=x₁2x₂-x₂ + cos(4 t) b) [x12x2x3 x3x₁…

A:

Q: Consider the following IVP: у зу -10у - 1, уo) --1, у(0) - 2 Find the general solution. A 13 St re…

A:

Q: if u = (-1,0) and v = (3,-1), then 2u - 3v is:   a)   (-10, -3)   b)  (-10, 3)   c)  (10, -3)…

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Q: (b) Show that (АВ) -1 — в-1А-1. (АB) -1 B-A-1

A: In this question we have to prove AB-1=B-1A-1. we know,X-1=1Xadj.A

Q: ice (A) and Bob (B) have an endowment of goods 1 and 2, with Alice's endowment being (wf, wg') =…

A: between two agents. All points on contract curve satisfy above condition.

Q: An electronic system has 2 subsystems A and B. It is known that P (A fails) = 0.2 P (B fails alone)…

A: P(A fails) = 0.2P(B fails alone) = 0.15P(A and B fail) = 0.15 P(B fails) = P( B fails alone) + P(A…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS AND PLS SHOW ALL WORK

A: The `linsolve` function in SCILAB is used to solve a system of linear equations simultaneously. It…

Q: b) iv)

A: Part 2: Explanation:Step 1: Identify the contour C:The contour C is defined as the set of complex…

Q: ест Cramer's rule to save the system of X₁ + x₂ + 2x3 - xy = 1 1 X₁-2x₂-x3 + 2xy = 0 x₁2x2 + x3 + xy…

A: Given system of linear equations can be written as  112-11-2-121-21106-24x1x2x3x4=1020 which is of…

Q: IF fx) = (1 - x) and g(x) = 9 - x, find fg(x)) and g(fx)). Ag(x)) = 9(Ax)) =

A: Given that:           f(x)=(1-x)2 and g(x)=9-x Find f(g(x)) and g(f(x)).

Q: Investigate the stability of the following sys (Consider the quadratic form as lyapunor system.)…

A:

Q: 6. (6x – 15)' (2r+ 1)

A: To find x ?

Q: Suppose that m>n in the homogeneous system                        a11x1+a12x2+…+a1nxn=0…

A: Here we have a system of homogenous equation with m equations and n variables  Now here m&gt;n which…

Q: n(U)=85, n(A)=43, n(A∩B)=22, n(C)=12, n((A∪B)′)=24, and (A∪B)∩C=∅. Find the following. (1) n(C′)=…

A: Given , n(U) = 85 ,  n(A) = 43 n(A∩B) = 22 ,  n(C) = 24 n((A∪B)')=24 n((A∪B)∩C)=∅

Q: Find the general solution of Зx(у - 4) x2 + 3 1+ (x² + 3)3 1- (x² + 3)3 a) Oy = 2 + 2C(x2 + 3)6 b)…

A:

Q: (13) Find two different complete systems of residues modulo 8.

A:

Q: Suppose a, = (1 -1 1 1) 5. a, = (1 0 1 0)" a, = (1 1 1 1)'a, = (3 2 3 0)" · Please find out whether…

A:

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.

Q: This work aims to investigate the equilibria, local stability, global attractivity and the exact…

A: Given equation is as follows: un+1=un-1+un-1un-5un-3-un-5,   n=0, 1, .....................(10) The…

Q: Let M-{1, 2}. Then O IP(MxM)=4 None of the mentioned O MxM={1, 4} O MxM={(1,1),.(2,2)} O IP(M×M)|=16

A: It is a set and relation problem

Q: There are 2 countries, D and F. There are 2 products X and Y. Each country has only a single input…

A: Given: Countries to produce the goods. To find: 1) Find the hours 2) Cost of 1 unit of X in D. 3)…

Q: S 22² +2+1 dz, where с Z² +4 b) Compute i) ( = {Z : 121=1} ii) C = {z: 17-i |=2} 17 (iii) C = {z :…

A:

Q: a) 2x+x-3

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

Q: 30²) For A = {• t, 1} & B = {₁, 0, 83 & universum U= {0, oto, 1, 0, 7, 3 Find: A', B', AUB, AnB, AB,…

A: (i) Consider the universal set is U=∘,+,1,⋄,7,Ω, A=∘,+,1 and B=1,⋄,Ω. (ii) Given U=ℝ×ℝ=ℝ2, A=x,y|x≥1…

Q: If x) = V x-6, find the following. (a) 10) (b) x + 1) () +h) - Ax) (c)

A: We have to find: a   f10b   fx+1c   fx+h-fxh Where function is fx=x-6. In this case we just have to…

Q: Solve the following system of linear equations by Jacobi method for 'K= (0,1,2,3) 5X₁ X2+ 3X3 = -2…

A: The given system of equations are                              -------- (1)…

Q: Find the following

A: