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

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: Solve for x, where u = (1, -1, 2), v = (0, 4, 1), and w: %3D 5u – 2x = 3v + w X =

A: It is vector problem.

Q: Express ∂w/∂r and ∂w/∂s in terms of r and s if w = x2 + y2, x = r - s, y = r + s.

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Q: Use Cramer's rule to solve for y without solving for x, z, and w. y + 5x + 3y 5х + z + w = -7 z + =…

A: Given:

Q: = + E (0 < x < L,0 < t <ox) L Ot u (0, t) %3D 0, и(L,t) %3 0, и(х,0) — А, и (т,0) %3D0.

A: Given - ∂2u∂x2 = ∂2u∂t2 + πL∂u∂t , u0, t = 0 , uL, t = 0 , ux, 0 = A , ∂∂tux, 0 = 0 , 0 &lt; x &lt;…

Q: こ= (t)} () て= () %3D - (^),J %3D てんn ZトXC

A: →∫eax+bdx = eax+ba + C, where 'C' is the constant of integration.→∫xndx = xn+1n+1 + C

Q: Find ∂ w/∂ x at the point (x, y, z) = (2, -1, 1) if w = x2 + y2 + z2, z3 - xy + yz + y3 = 1, and x…

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Q: Find the average value of f(x, y) over the plane region R.

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Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 3u + 2x = w − v

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Q: aw Find ду if w = z³(In(zy))(e**y*z*) %3D

A: Given,        w=z3ln(zy)ex2y3z4

Q: Let u(x, t) be the solution of n. и = xt, -00 0, .2 ди (x, 0) = 0, –00 < x < ∞. u (х, 0) - %3| -…

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

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Q: Find the best approximation to u = (3,-7, 2, 3) as a linear combination = (2,-1,-3. 1) and =…

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Q: If (x, y, z) = x²yz³ and A = xzi -y²j + 2x²yk, Determine : ww a) Ax (Vx A) at point (1,-1,1) b) VX…

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Q: If V = (3x + 2z²)i + j- (z – 7x)k then V. V at the point. (1, 1, 1) is ||

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Q: Use Cramer's rule to solve for y without solving for x, z, and w. 4x + y w = 3 5x + 2y 4 4x 2 y 5z +…

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Q: Find ||u||, ||v ||, and ||u + v||. -(-1. 금), v-(2.-3) v = (2 - ± ) u = 4 (a) ||u|| (b) ||v|| (c) ||u…

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Q: Condition JW=3.6, j0=0.4

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Q: 2. Solve V'u = 0 for r<1, 0<z< T, u(r, 0, 0) = 0, a7(r, 0, 7) = 0, - u(1, 0, z) = z cos³ 0.

A: It is given that

Q: If A = 3xyz²i + 2xy³j-x²yzk and p = 3x² - yz, find (a) V-A, (b) A-Vq, (c) V.(Vo) at point (1,-1, 1).

A:

Q: Solve for w, where u = (1, −1, 0, 1) and v = (0, 2, 3, −1). w + 3v = −2u

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Q: c) 0 0, Ut = Uxx; u (x, 0) = x, 0 0.

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Q: Use Cramer's rule to solve for y without solving for x, z, and w. 4x + y + z + = 7 5x + 3y z + 8 W…

A: Let's find.

Q: Use Cramer's rule to solve for y without solving for x, z, and w. 3х + y + z + = -6 W 2x + 2y z + =…

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Q: In x - direction (+ -) - Fu + P,A,- P3A3 cos 40° m, V, cos 40° - m, V. F = P1A,- P3A, cos 40° + m,…

A: To identify for True or False.

Q: Use Cramer's rule to solve for x, y and Z 2х + у — 3z %3D 0 | 4х + 5y + Z %3D 4 %3D

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Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 2x − u + 3v + w = 0

A: Given u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). And 2x-u+3v+w=0 Plugging the values,…

Q: Find r' (2), where r(t) = u(t) × v(t), with u(2) = (1, ,2, – 1), u' (2) = (3, ,0, 4) , and v(t) =…

A: Solution :-

Q: Repeat Exercise 27 for the forces KX = (2, – 3) and KY = (- 2, 3).

A: The given two force vectors are, KX→=2,-3KY→=-2,3 When we find the addition of two vectors, then the…

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

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Q: Solve for x, y, z by the Cramer's rule 2х + Зу — z — 5 х — 2у — 3z 3D 2 Зх + у + 22 %3D -4

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Q: O Civen w (2-31, XL-4,9),Y(S,y) and z(-1,1) find the Value so that ux LYZ

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Q: Differentiate the follo ear and non-linear. w +z =2 1. x +y- z= G X +v-

A: (i) First we differentiate the given equation with respect to x: xy+z=2⇒ddxxy+z=ddx2⇒y+xdydx+dzdx=0…

Q: Use Cramer's rule to solve for y without solving for x, z, and w. 5 x + y + z + W = -7 5x + 3y - z +…

A: Here we have to use cramer rule for solving the system of linear equations

Q: Find a and b such that v au + bw, where where u (1, 2) and w - v- (0, 6)

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

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Q: Find Duf at P f(x,y,z)=4x^3y^3z^3;  P(1,−2,1);  u=1/3i+2/3j−

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

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Q: If A = 2x2'i– yzj +3xz'k and ø=x³yz, find V×(ø4)at the point (1, 0, -1).

A: Given A = 2xz2i - yzj + 3xz3k and  ϕ = x2yzSo, ϕA=  x2yz(2xz2i - yzj + 3xz3k)     =  2x3yz3i…

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: Suppose Vf(x, y, z) = 2xyzexi + zex¯j + yex k. If f(0, 0, 0) = 1, find f(1, 3, 3). ,2 .2

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Q: Find the component of u along v. 3(5,2), v = (3, -4)

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Q: o Find the Vf at the given point 2. (x,y.2)=(x² + y² + ²)² +In.xyz,P(-1,2,–2)

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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: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 3x + 2u − v + 2w = 0

A: The given vectors are Let the vector x be

Q: a(x, y) r = u? -v,y =ue". Compute ô(v,u)

A:

Q: Let u = 2i−j+3k, v = 3i+j−k, and w = 3i+j+2k. Verify Equation (3).

A: Given- u=2i-j+3k,v=3i+j-k and w=3i+j+2k To verify- The equation u×v·w=u·v×w

Q: ='i+(2xz - y)j XZ and (2, 1, 3) is

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Q: aw Find ди dw. and if w = x³ + In (-) + y, x = u? dv -+ 5 and %3D wwww y = 3v + 5u and point…

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Q: - gt V Xu u = (1,3,-3) , v = (4,0,2) e l

A: The given vectors are: u=(1, 3, -3)v=(4, 0, 2)