if z=x+iy then zz= 3- y² +1 3- y² – 1 G- ² |

Q: f(x, y, z) = 3x - 2y + z- 12 = 0 g(x, y,z) = 4x + 2y - 25 = 0 h(x,y, z) = x- y²z-7= 0

A: Use the following formulae, to find the approximate solution of the non-linear system by the Newton…

Q: Solve the system of linear equations.

A: Given system of linear equations, x-y+w=0                .......13x-z+2w=0…

Q: 4. f(x, y) = 5xy - 7x² - y² + 3x − 6y + 2 5. f(x, y) = (xy − 1)² 6. f(x, y) = (2x - 3y)³

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Q: If f(x,y,z)=x²y³-y²z³ Then f;= -3y²z2 Jlgn

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Q: 1 max z = 2x, + x2 - x1 + x2 s 1 Xị + x2 s 3 s.t. 2x2 < 4 X1, X2 2 0

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Q: 2y" +2y=2sinx y(0)=0, y'(0)=1

A: Solution y=CI+PI CI=Characterstic integral PI=Particular Integral P.I=sin xD2+1Let D2=-α2so…

Q: 2. y"-y-6y = u(t – 1) – u(t – 4); y(0) = 1, y(0) = -1

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Q: 2x –1 1 , show that y"+ y' + xy +1 c) If y =-

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Q: a) f„(x, y) b) f (х, у) уу ух 1 3 Зу'х + 5ху 3y'x .3. f (x, у) 16x*y4 -

A: (a)

Q: Solve for ∂w/∂y and ∂w/∂x w=(1-2y)(x2-xy)

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Q: 2 X+y +Z=lo Gouss eleminahin 3 X+ 2Y4 32=18 X +uy+ 9Z= 16 ماركة العرض من قبال

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Q: 10. (x, y) = x² +xy – 2y – 2x +1 %3D - 2 16. f(x, y) = xy+ - + 4

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Q: ₁:w+x+y+z=0 ₂:-w+2y=z=14 13:3x-y-2z=4 T₁:7w-x-y+3z=-8

A: to solve the this we use the gauss elimination process to find the solution of the system of…

Q: Minimise Z = 1.5 x + 2.5 y S.T. 1x + 3 y 2 3 1x + 6 y 2 2 and both x and y 2 0

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Q: Find the complete solution of the linear system, or show that it is inconsistent.

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Q: . Show that y x2 2 (xyz)(x – y)(y – z)(z - x) N N

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Q: 19. 2x + 2y + 4z = 0 w - y - 3z = 0 2w + 3x + y + z = 0 -2w + x + 3y - 2z = 0

A: According to Bartleby guidelines we can only solve one question at a time. Kindly put other…

Q: ① y" +16y=ex y-y-6y=2sin 3x ly-y-2y=3x+4 4y" +4y+y=3x² グッ 2

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

Q: 4) f(x, y,z) = /1– x² – y² – z²

A: Domain is the subset of R3 where the function is defined

Q: y" + 3y' + 2y = U₂(t); y(0) = 0, y'(0) = 1

A:

Q: (w² – z² – 4z – 1))dw + 2w(z + w + 2) dz = 0

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Q: Find y': y=V5+2 — 2 O y = 7-2x 2√5+2x-x² Oy = √2-2x 1 Oy = 2√5+2x-x² 1-x O y = √5+2x-x2

A: We have to find derivative of given function.

Q: 8. = In(3x² – 2y + 4z³); x = 1/2, y = t²/3, z = 1=2 w

A:

Q: Solve the system

A: Given information: The system of equation is  x-y+z=2              (1) xyz=0…

Q: Зх — 4у + 23 (a) f(x, y, z) = '9 – x² – y² –. - V2t – 4 x² – y? - (b) g(x, y, t) : -

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Q: z = xy³ – a²y, x = t² + 1, y = t2 – 1

A:

Q: Find the general/particular solution of the follow 1. xy' - y = 2x Inx 2. (1+ x)y' +y = vx 3. t+2y =…

A: The general solution of the differential equations

Q: 2x +y-z=3 x- y+z=0 y+2z =1. Then x=

A: Given system of linear equations; 2x+y-z= 3 x-y+z = 0    y+2z=1 We can use Cramer's rule to solve…

Q: x²y" - xy + xy = 0, y(1) = 0, y (L) = 0, L > 1

A: As per the question we are given a second order linear differential equation as : x2y'' - xy' + λy…

Q: find the (a) domain and (b) range

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Q: y'+2y/x=x, y(1)=2, y(2) using h=0.1

A: given :y'+2yx=xy(1)=2, y(2) using h=0.1

Q: Given: xIn y + y²z + z² = 8 Find: дх дz -(x + 2y² z) y(y² + 2z) -y ln y x + 2y² z - In y у2 + 2z -у²…

A: Let's find derivative of given function.

Q: *宗+> B. If z = show that x 3z %3D x+y

A:

Q: 2x + y + z = 1 X- y+ 4z = In1 x + 2y – 2z = 3

A:

Q: Solve the system of equations.

A: we have to solve the given system of equation

Q: If x2 z2 + y² + xz3 = 3, then dz at the point (1, 1, 1) is: O b. Ос. - 3 d. - 3 Ое. f.

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Q: 1. Xy -(X + 2)xy + (X + 2)y = (3X ZX je 2. x y" - (2 – x)y' – y = 0

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Q: iv) if zx = (y)-1 then zx/zy = а. XZ b. yz c. y²z d.x²z

A: Given that zx=(y)-1 we have to find the value of zxzy

Q: 1. уд y = 5x -x y=Vx+2 (4, 4) X= 2 y x x+1 y = 1 2.

A: "Since you have posted multiple figures, we will answer the  questions 1,2 and 3.  If you want…

Q: 2x + y + z = 1 X- y+4z = In1 x + 2y - 2z = 3

A: We will solve this equation with the substitution method. So first of all we will find anyone…

Q: ーX + 2y - z= 0 ーX - y + 2z = 0 Z = 1 2x

A:

Q: 1) f(x,y)= 2x² – 3y – 4 2) f(x, y) = (x² – 1)Xy + 2)

A: Solution :-

Q: iv) if zy = (x)-1 then zx +Zy = b.x+y c. -z (x + y) d.z2(x-y) a.x-y

A: To find z_x+z_y from zy=(x^-1)

Q: j. Min Z = 12x, + 8x, subject to: 4x, + 2x, 2 24 2x, + 2x, 2 10 2x, < 8 X,, X2 20

A: To solve the Linear programming problem using the graphical method  Consider the constraints as…

Q: If ƒ (x, y) = ln (x² + y*) then find fy. 4y³ x4+y4 x4+y4 x4+y 4y x4.

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Q: 2) 2yy' = x(1-2y). y(l) =1. Ans.: x +2y+ in(2y-1) 3.

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

Q: max x+ y2 + z² subject to x2 + y² + 4z² == 1 and x+3y + 2z = 0

A:

Q: v - 2w + x + 2y - z = 6v +3w- 2x + 4y - 3z -v + 2w – 3x + 4y – 5z = Ev + 13w – 2x + 8y – z = -

A: Gauss Jordan Method: Gauss-Jordan Elimination is a method for finding the inverse of any invertible…

Q: 2 Find / U(x) + 4g(x)]dx if -5 2 2 | f(x)dx = 6 and / g(x)dx = -3. -5 -5 2 [f(x) + 4g(x)]dx = i %3|…

A: Given∫-52f(x)dx=6∫-52g(x)dx=-3

Q: if z=x+iy then zz= x²+y² o x² – y² + 1 O x² – y² – 1 O x² – y² O

A: The given complex number is z= x+iy the conjugate of z can be obtained by changing the sign of…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.