Find u - v, u · u, ||v||², (u - v)v, and u - (3v). u = 4i + j - 2k, v = i - 3j + 2k (a) u: v (b) u. u (c) ||v||2 (d) (u· v)v (e) u. (3v)

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: af If f(x, y) 3x+7y (3x-7y) then is given by: 42y (3x–7y)² 21y (3x–7y)² 42y (3x-7y)2 21y (3x-7y)² -

A:

Q: Solve for w where u = (-1, 1, 0, 1) and v = (2, 3, -1, 0). w + 4v = -3u w3D Need Heln? Re

A: u=-1, 1, 0, 1 and 2, 3, -1, 0w+4v=-3uTo find w

Q: Example: Calculate the value of (@w/0x) at the point (x, y, z) = (2, -1,1) if:- w = x2 + y2 + z? z3…

A:

Q: f(x, y, z) = 4xy-8xyz + 7yz2 %3D (x, y, 2) = %3D x, y. 2) = %3D x, Y, 2) = %3D

A:

Q: The continuity equation satisfied by u=x +2y ,v=2x +y .1O u=2x+y, v=x-2y .IIO u=x/y,V3DY/x .III O

A:

Q: Find curl (2z i + 3x j + 6y k). curl(2z 2z i + 3x j+ 6y k) = ( i )i + ( i j + ( i )k

A:

Q: Find curl (5z i + 6x j + 3y k). curl (5z i + 6x j + 3y k) = ( i )i + ( i i )k

A:

Q: f(x,y,z) = 2x + y? - z2, g(x, y, z) = x - 2y = 0 and h(x, y, z) = x + z = 0. %3D

A:

Q: Find curl (2z i + 3x j + 5y k). curl (2z i + 3x j + 5y k) (i )i + ( i j+ ( i )k

A:

Q: f(x, y, z) = 3x²y - 5xyz + 7yz2 2. f,(x, y, z) = f,xx, y, z) = f(x, y, z) =

A: Given query is to find the partial derivative for the given function f(x,y,z).

Q: Find f, (x,y) and f, (x,y). Then, find f, (3, - 4) and f, (4, - 3). f(x,y) = - 7xy +6y +3 fx(X.y) =

A:

Q: f(x,y,z) = xy + yz + zx, (2, - 2, - 1), A = 3i + 2j - 6k

A:

Q: The continuity equation satisfied by .I u=x/y,v=y/x .II u=2x+y , v=x-2y .III u=x +2y ,v=2x+y

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Integrate Im z, C counterclockwise around the triangle with vertices 0, 5, 5i. Use the first method,…

A:

Q: 45. In AXYZ, W is between Y and Z. The coordinates are X(2,3), Y(5,0), Z(0,0) and W (2,0). What is…

A:

Q: 8. Use change of variables to find: a) The Jacobian if x=(u+3v), y =; -(v- 2u).

A: We will use concept of change of variables.

Q: :f (x, y, 2) = x + y; E = {(x, y, z) |1 0, y > 0}

A: In this question given that a function and it is in the cartetion coordinate. We can convert in…

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = x - √(y2 + z2)

A: Given function is, f(x,y,z)=x-y2+z2

Q: x = u - v2, y = u + v (x, y) = (u, v)

A: Given , x = u - v2 , y = u + v

Q: The continuity equation satisfied by .I u=x/y,v=y/x .II u=2x+y , v=x-2y .III u=x +2y ,v=2x +y

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: नर १U५ %3D 2.

A:

Q: Find curl(7z i+ 8x j + 5y k). curl(7z i+ 8x j+ 5y k) = (i )i + ( i )j +( i )k

A:

Q: uxx + uyy =0, 0<x<a, 0 <y<b, B.C. u(x, 0) = 0, u(x, b) = f(x), 0 ≤ x ≤ a, ux(0, y) = 0, ux(a, y) =0,…

A:

Q: Find curl (3z i+ 4x j+ 5y k). curl(3z i+ 4x j + 5y k) = ( i )i + (i )j+( i )k

A:

Q: 37. y+ x2 = y* – 2x at (-2, 1) and (-2, –1) %3D 38. (x² + y) ² = (x – y)? at (1, 0) and (1, – 1) %3D…

A: A) given curve, y2+x2=y4-2x  at -2,1 and -2,-1B) given curve,y2+x22=x-y2  at 1,0 and 1,-1.we have to…

Q: Find ƒx (x, y, z), ƒy (x, y, z), ƒz (x, y, z), and ƒyz (x, y, z) for ƒ(x, y, z) = x4 + 2yz2 + z4

A: Consider the given function, fx, y, z=x4+2yz2+z4 now, use the partial derivative method to find the…

Q: f(x,y,z)=x+y+z and r(u,v)= (2u+ v, 3u - v, u+2v). What is the value of f(r(u,v)) r, xr, AA when u=2,…

A:

Q: Find curl (3z i + 4x j + 6y k). curl (3z i + 4x j + 6y k) = ( i )i + ( i )j + ( i )k

A:

Q: Integrate Im z², C counterclockwise around the triangle with vertices 0, 5, 5i. Use the first…

A:

Q: Find curl(6z i + 7x j+ 6y k). curl(6z i+ 7x j+ 6y k) = ( i )i + ( i )j +(i )k

A:

Q: ... Solve for w where u = (-1, 1, 1, 0) and v (-1, 2, 3, 0). 3w = u- 4v W 3=

A:

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = e-xyz

A: Given fx,y,z=e-xyz Partial derivative means differentiating with respect to one variable keeoing…

Q: 2. x =1+y², x = 0, y = 1, y = 2 about the x – axis.

A:

Q: Solve for w where u = = (0, 1, 1, –1) and v = (0, -1, 2, 3). %3D 5w = u - 4v W =

A:

Q: Ar)- (xr+1 - })* + (%, – )* + (xr-1 - )* + (y. – )² + (x, – ) + (y+1 - }) + (x, – })* + (y.-1- }) -4…

A: Given that, Lhϕr, s=1△x2ϕr+1,s+ϕr-1, s+ϕr, s+1+ϕr, s-1-4ϕr,…

Q: x (u, v) = (u – v² ², u² + 1, v²) %3| |

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

Q: Саuchy Riemапn equations are и %3у апd u х у = - U y u =v and u =v х у У х .Εν and и %3Dу апd u = -…

A: The solution is given as

Q: (a) F(r, y, 2) = 7+ 27 + 3K. (b) F(r, y, 2) = i + 25 + zk. (c) F(r, y, z) = xỉ+ yj+ 3K. (d) F(r, y,…

A:

Q: Let w = iz2-4z+3i. find (a) Δw, (b) dw, (c) Δw-dw at the point z=2i

A: Consider the provided question, (a)

Q: Maximize utility U(x, y, z) = 24yz +16xy +16xz Subject to G (x, y, z) = xyz= 384

A:

Q: T: P2 P2, .2 T(ax2 + bx + c) = ax² + bx +c B = {1, 1 – x, (1 - x)²} B' = {1, x , x²} v = x² – 3x +3…

A:

Q: Use Cramer's rule to solve the set of linear equations x-2y- 3z =-1 3x + y-z =9 - 4x + 2y +z = 2

A: Here we have to use Cramer's rule to solve the set of linear equations.…

Q: Find curl (3z i + 4x j+ 7y k). curl (3z i+ 4x j+ 7y k) = ( i )i + ( i j+ ( )k

A:

Q: f(x, y, z) = 4x²y - 2xyz + 9yz2 (X, y, z) = ,(x, y, z) = f_(x, y, z) =

A: Answer and explanations is given below...

Q: In differential geometry give me example of covariant tensor and contra variant tensor.

A: Concept:

Q: 6x + 6 13 dx Evaluate - x4 -3 О З2? + 2 - 13x + C, Where C is the parameter O 3x2 – 2 3 – 13x + C,…

A: We have to find

Q: (a) F(x, y, z) = i + 27 + 3K. (b) F(r, y, 2) = i+ 25 + zk. (c) F(r, y, z) = xi+ yj+ 3K. (d) F(r, y,…

A: We have to match the vector field F to R3 and the figure labeled.

Q: f(x, y, z) = 4x²y - 8xyz + 10yz? (x, y, z) = %3D x. Y. z) = f,(x, y, z) =

A:

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

A: Given :u=x3y2z2+x3yz