(а) Show that Ах (В x C) 3D (А:С)В — (А: В)С

Q: If u = x2 – 2y; v =x +y+z; w=x- 2y + 3z, a{u, v, w) _ then %3D o(x,y,z)

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Q: 2. Prove: cot2x - csc²x = -1 %3D

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Q: a u, (00) = Utt , и (0, t) — 0, и (т, t) — 0, (t>0) и (х, 0) %3D0, (0<x<n, и, (х, 0) %3 * (т—г),…

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

Q: Evaluate / (x - 2y + z) ds. S: z = 3 - x, 0sxs 3, 0sys 2

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Q: Why the 1st row and 1st column of the JACOBIAN MATRX is always Zero ?

A: It is not necessary that the 1st row and the 1st column is  always zero. It may be possible or it…

Q: Use Cramer's rule to solve for y without solving for the un- knowns x, z, and w. 4x + y+ z + w= 6 .…

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Q: De'Morgan Theorem to prove that: (x.y'+x'.y)' = x.y+x’.y' %3D wwww

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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 +…

A: If we have given the coordinates of two points then we can easily find the distance between them…

Q: 2- If L(x, y) = ax + by2 is a Lyapunov function at the origin for the system * = y + x³, y = -x +…

A: According to guidelines we have to solve only one question.

Q: In rank - sign test, the null hypothesis u = µo can be rejectedin favor of %3D the alternative u < u…

A: Signed rank test HypothesisHo:μ=μ¯oHo:μ&lt;μ¯oWe reject the null hypothesis if W+≤Wαwe reject  the…

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

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Q: 2x+ 3y-z =1 4x + y-3z = 11 3x-2y +5z = 21 | %3D

A: Solution:

Q: dik koordinatylarda x,y öyleki x kare artı y kare küçüktür beş denkleminin grafiğini çiziniz

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Q: Prove that Ix I - I y I ≤ I x - y I.

A: We have to prove that  x-y≤x-y We know, x+y≤x+y Then,  x=x-y+y⇒x=x-y+y≤x-y+y⇒x-y≤x-y

Q: 6) MLATU = 45°, mZSTU = 120x – 1, and mZSTA = 73x + 1. Find x. %3D %3D T. U A

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Q: Resolver los siguientes problemas de Cauchy pa primer orden: az az %3D a) y-x = 0 z(x,0) = x², ду az…

A: Given, y∂z∂x-x∂z∂y=o That is, yzx-xzy=0 The characteristic equations are dxy=dy-x=dz0 Taking first…

Q: -5 u1 u2 U3 U4 = -5 , u5 = U6 = 5 u7 = -16 , U8 -1 4 4 -4 Compute projs u8, where s= span{us, u7}.…

A: Here we use dot product to solve this problem.

Q: Cramer kuralını kullanarak verilen denklem sistemini ÇÖzümleyiniz. 2x + 3y + 4z = 53, %3D 3x + 5y –…

A: We have to use Cramer's rule to solve the following system-

Q: Use Cramer's rule to solve for y without solving for the un- knowns x, z, and w. 4x + y + z+ w= 6 3x…

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Q: How is the Jacobian formulated?

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Q: 1- -Н(y)-Н(yх) Prove that 2- H(x,y) = H(y) + H(x\y) 3- H(x,y) = H(x) + H(y}x) 4- Н(х., у) %3DН(х) +…

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Q: Minimize c = s + t + u subject to 3s + 2t + u ≥ 48 2s + t + 3u ≥ 48 s + 3t + 2u ≥ 48 s ≥ 0, t ≥ 0, u…

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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: Evaluate ff xydxdy over the square with corners (0,0), (1,1), (2,0) and (1, –−1) (u + v) (u - v) 2 2…

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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: Fiven with z1 = (-3,1) and z2 = (1, 4). Show that |21 2| = |21||2|- %3D

A: Complex number and it's modulus

Q: 5. Compute the solution to the original system of equations by transforming y into x, i.e., compute…

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Q: In Exercises 47-50, verify that wy Wyx- 48. w e+ x In y + y Inx

A: To find the second partial derivative of any function z i.e., zxy first differentiate z partially…

Q: 2- Find x, y, z, u, t, v such that 2 3 8. 3 5 +2 9 8 14 a) X =-6, y = -1,Z = -1, u = 1,t=2,v= 2 %3D…

A: xyzutv+2123456=8359814   To find : the value of x, y, z, u, t

Q: solve for w where u = (0,-1,1,1) and v = (3,0,-1,2) 5w = u-3v w=

A: Given that, u = (0,-1,1,1) and v = (3,0,-1,2) 5w = u-3v

Q: U₁ + Ux+Vx = 0, v₁ + UxVx = 0, u(x, 0) = u(x), v(x,0) = vo(x).

A: Given clear explanation below.

Q: If w = f(u, v), u = x + y, and v = x - y, show that w,wy = w - w?. %3D %3D

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Q: round (cov (DFRAME), 2) M N 0 M 2.71 -1.33 0.38 -1.20 0.78 N -1.33 2.89 -1.44 -0.89 0.38 -1.44 5.60…

A: The covariance between two variables say, X and Y is denoted by Cov(X,Y). The covariance between X…

Q: 10.Use Cramer's rule to solve the linear system. 3x+ 5y = 8 y+z = 3

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is  the matrix A is

Q: Use Cramer's rule to solve for z. Зх — 4у + z %3D 3 2х + 3у = 8 5y + 8z = 11

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Q: Tofology 2. EX しT X={12/3/4 /5,6 T=Eメ,中っをり,立る, りろ4。 LeT {1,3,4), Topology ? زژه اوم.

A: For the given statement

Q: 2. Jui (x) + Juo, (x) = 2Y Jv (X) 2. Jv-iCX) Juo, (X) Jv(x)

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Q: Minimize c = s + t + 2u subject to s + 4t + 2u ≥ 95 4s + t + 3u ≥ 95 s ≥ 0, t ≥ 0, u ≥ 0. c= (s, t,…

A: the given simplex problem is as follows  Minimize c=s+t+2u subject to…

Q: on vectors for t2 0.

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Q: K=(0,20) ) Show (K,0,0) field. 12) Show (2,t,)(K,Ð ¸º) Hlint: : fi R ->K, fa)=e*]

A: As per our guidelines I am only solving 1st. For 2nd kindly resubmit the question mentioning 2nd.

Q: 5. Define the terms : Skewness and Kurtosis.

A: In statistics there are two types of measures namely measures of central tendency and…

Q: Solve for z using cramer's rule.  2x-y-z=4 4x+y+z=2 3y+z=2

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Q: Prove that fdr %3D dSxVf

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Q: 4) Let f(r, y, z) = In(r + 2y + 3z). Find Vf = . %3D

A: Given: f(x, y, z)=ln (x+2y+3z)

Q: 1 If f(x, y,z)= of then x- y- 3z ду

A: Differentiate wrt y.

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

A: Here, ∂ represents the partial derivative, which means when differentiating with respect to x,…

Q: u + 1, U2 + V2 1), (a) Compute u + vand ku for u = Solution: Ia + In) (1,2), v = (- 1,:

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: - How many modes does X have?

A: The probability function of X can be described as X 1  5 10 15 f(x) 24k 100k 150k 150k

Q: > round (cov (DFRAME),2) M N M 2.71 -1.33 0.38 -1.20 0.78 N -1.33 2.89 -1.44 -0.89 0.38 -1.44 5.60…

A: A linear regression equation of Y on X can be expressed as : Y = a+ bX  where a and b are estimated…