u = (2, 11), v = (-5, 2) (a) u. v (b) u.u (c) ||v||2 (d) (u - v)v (e) u (3v)

Q: conjugate of v-1-3 is 1- V-1+3 2- -V-1-3 -V-1+ 3 3 - V-1 2- 4-

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Q: f (x, y) = 3x²: f (x, y) = x² + 3y²: f (x, y) = y – 2x?: f (x, y) = 5x² – 5y²:

A: The function f(x,y)=3x2  Level curves are made by fixing values of fx,y=k.…

Q: (i) Find the covariance of X and Y

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

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Q: Find fxy(x,y) if f(x,y) = (x5 +y³) 7. fxy(x,y)=

A: Concept: Partial derivatives: In differential geometry and vector calculus, the partial derivative…

Q: 22) About the x-axis y = 5 x =V25 - y2 X =' + 3 4 5 х 2. 3. 2.

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Q: 3x, +3x, +2x; +1 MaxZ = 2x, +.x, +x; +1 S.t. 2.x, +5x, +x; < 2 X +2x, +3.x; < 3

A: We compare the given fractional linear programming problem by the standard fractional linear…

Q: (X1, X2) = -x2, Q(x1, x2) = x1; D = {(x1, T2) : 0 < x1 < 1,0 < x2 < 1}. (X1, 82) (¤1, P2) = 2x1 –…

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Q: Qvestivr C-

A: question on co-ordinate geometry

Q: Determine whether the statement is true or false. fxy дх ду True O False

A: We have to determine given condition it is true or false

Q: 4. Using Cramer's Rule, solve:

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Q: method; Inz VUna)²-y²

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Q: 2Tan2(120°)+3sin2(150°)-cos2(180°)

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Q: Integrate by switching to spherical coordinates.

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Q: Solve the equation 2x+y-z=1,x-y+z=2,5x+5y-4z=3 by Cramers rule

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Q: x = 4 y = x' |(2, 8) y = 8 y = Vx (4, 2) Figuro 1

A: Solution for question a: In figure 1 the region is bounded x=y2,the x-axis, where 0≤y≤2 The formula…

Q: Use Cramer's Rule to solve the system. { 9x = -15 У + 3z = 7x 4 Зу + 9z % 45

A: According to Cramer’s rule, the solution to system of equation is given by,

Q: X1+iy,=X2+iy2" ューx,○ X =X ,=y,O *ュ=ソ,○

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Q: Find fxy(x,y) if f(x,y) = (x5+y³) 7. fxy(x,y) =

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Q: -12 (",(25x – 46x + 3)cx J-12

A: Given query is to find the value of the integral.

Q: Max Z = 4X1+10X2 %3D s.t. 5X1+4X2 < 200 X1+2X2 s 50 X1+X2 s 20 X1, X2 0

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Q: 4x -y 0 2r + 3y = 14 %3D

A: By using cramer's rule, we solve the linear system of equations.

Q: A² Show that w'= -9-7x - 15x² can be written as the Linear combination of U= 2 + x +4x²₁ V = 1 =…

A: Given that W'=-9-7x-15x2. Show that the given equation  can be written as the linear combination of…

Q: 82z 82z + 8x2 82z If z = x + y lnxy, show that x- = y², y2. 8y2 ID 8x8y

A: Given, z=x+ylnxy We need to show that,    xδ2zδx2+δ2zδxδy=y2δ2zδy2

Q: then the ² u - y² is მყ2

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Q: the of olution using simplex me Max z = 8x, + 10x, + 7x3 s.t: 4x + 6x3 + 3x3 S 60 7x, + 2xz + 5x, S…

A: In this question, the concept of Linear Programming is applied. Simplex Method An approach to…

Q: Solve using Cramer's Rule: (2x z = 14 3x - y + 5z = 0 4x +2y + 3z = -2

A: The equation can be expressed as 2x+0y-z-14=03x-y+5z+0=04x+2y+3z+2=0use Cramer's rule to find the…

Q: 3x – y + z = –1, -x + 3y – z = 7, u+ 3z = -7.

A: Given: 3x-y+z=-1 -x+3y-z=7 x-y+3z=-7

Q: Find fxy(x,y) if ​f(x,y)=(x^3+y^4)^7. fxy (x,y) =

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Q: Show that: х-1 - B(x-1,y+1)= B(x, y)

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Q: Eliminale the arbitrany constants 2x 2x Ge?

A: Elimination of arbitrary constants: construct the differential equation

Q: af(x,yz) -

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Q: I. Find the value of X3 Using cramer's rule. Show your work *」+ 3xzt =ス Xit2X2=3

A: The objective is to find the value of x3

Q: F(s) = 5s+3 6s 8 9- - (5s2 +4s+1) s2+7 9

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Q: Q4:Min z' = 29 yı+ 45 y2 subject to 2y1+ 8y2 > 60, 4y1+ 4y2 2 60, yı 2 0, y2 2 0.

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Q: Solve using Cramer's Rule only. 4w + 3x – 5y + z = 6w – 5x + 2y+ 2z -9w + 9x + 6y + 3z = 6 3w + x +…

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Q: واجبات اوجد الكل م ما ياني o y = 2t2 + 1, t 5x r2 + 1 y = r = 6x O y = V2u, u = 2Vx

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Q: GEOMETRICALLY WHAT ARE f(x, y) and f(x,y,z). CHOSE FROM OPTIONS BELOW.

A: Given data: The first function given is f(x,y). The second function given is f(x,y,z). The first…

Q: {6} = I ( (b) T = [4,9) %3D (c) T = [-4,9] -

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Q: Express in terms of i. V- 4

A: -4=-1×4=-1×4=i×(2)=2i

Q: C(-1, 3) and D(-5, 7) Vex, - x,} +(y, -y.: d%3= X, = _ ; X, = iY2=_ Y=

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Q: f (t) = 6e-6t + et + 5t³ – 9 As5 + Bs* + Cs³ + Ds² + Es + F F(S) : Gs6 + Hs5 + Is4 + Js³ + Ks² + Ls…

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Q: Find fx (x,y) and f, (x,y). Then, find fx(1, -2) and fy (-3,3). f(x,y) = -2xy +9y² + 10 fx(x,y)=

A: We can find the answer as below.

Q: 33) - 2y + y, + y; = 0, y + y', = 4t +2, y, (0) = y, (0) = y,(0) = 0 y + y, = t² +2

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Q: 7. x + 3y + 522 = 173.61, x - 27y + 2z = 71.31, 41x - 2y + 3z = 65.46. Start with x = 1, y = - 1, z…

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Q: O Express : 2 as a linear combination of

A: By using definition of linear combination

Q: Use Cramer's rule to solve the simultaneous equations 2x + y = 7 3x – 4y = 5

A: The equations can be expressed as 2x+y-7=03x-4y-5=0

Q: U dou U 3 cz³ Ox² x³y² 2 Z Oy + 3 x ³ yz

A: Given :u=x3y2z2+x3yz