(а) T(г, у) — (т, -у); (b) T(г, у) — (2г, 5у): (с) T(т, у) — (т+у, y):

Q: O Finl Cfrandz, where fr2)= Im z, C the Civek 121-Y %3D ( coumnter lock wise)

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Q: f(æ, y, z) = æ²y+ 2y²z+ 3æz?. Compute fa: (1, 1, 1). None of these. 3

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Q: find ---y (a) u•v, (b) u•u, (c) ||v ||2, (d) (u• v)v, and (e) u • (3v).

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

Q: Solve for x, y, z and w. (Enter your ansv x + y y + z 3 5 z + w 8 5 (x, y, z, w) =

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Q: Right AABC with right 2C 24. Given: mZ1 7х + 4 %3D m2 5х + 2 C Find: Exercises 24–27 For Exercises…

A: " Since u have posted a multiple questions, we will solve the question first for you. To get another…

Q: If u = 7i - 2j+3k and v = -i+3j + 5k then Proj,v is

A: Given, u=7i-2j+3kv=-i+3j+5k

Q: If ø = Vx + y+ z and ū = 'î + ĵ+ k , then V¢.ũ will be 3 V3 20 2ф

A: Step:-1 Given that ϕ=x+y+z, u→=i^+j^+k^ ∇→ϕ=∂∂xi+∂∂xj+∂∂xk x+y+z ∇→ϕ=12x+y+zi +12x+y+zj…

Q: OF(2,9)= OF(2,9)= %3D OF (2,y) = X,Y %3D OF(2,y) =

A: Since     F→(x,y)=<-y, x2> The vector field of the function is

Q: If WZ = 68 and UV = 94, what is XY? %3D V W Y U Z

A: Given ,  WZ = 68 , UV = 94  We have to find XY

Q: Wnete to y=2x=1 equotion for Hhe line Pacallel the Doinit 4,9) an and

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Q: If r(x, y,z) = (x² + y² + z²)!/2, find a²f a²f əx²'əy² ' a²f , аnd дхду

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Q: 4. If A = 3xyz²i + 2xy³j- x²yzk and p = 3x² - yz, find (a) V-A, (b) A-V4, (c) V-(Vo) at point (1,-1,…

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Q: f(z, w)- Te-17y then 238a (72-17y) 238z (7z- 17y) 238z (72 + 17y) 238z (7z + 17y)

A: f (x,y) = (7x+17y) / (7x-17y) and we have to find df/dy given that f is function of x and y  we know…

Q: y = 6 7x, y = 67u-1 7x — 1, у %3D 6" 67*, y = u+6-1 –7x, y = 6“ 6*, y = ux-1 TEXT P = V72 + 14 7, P…

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Q: as the sum of two orthogonal orthogonal to ư

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Q: If u * v = 2i - 3j + k, what is v * u?

A: As we know a×b = - b×a

Q: for w = ze(zy²+2:). Do not include =" in your answer.

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Q: Show that Plx-1,y) = A(x, y) X+ y-1

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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: 9x + 2y + 4z = 20, x + 10y + 4z 6, 2x-4y + 10z =-15 54x +y+z = 110, 2x + 15y + 6z = 72, -x + 6y +…

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Q: Suppose V(x,y) = (2x, 2y) and W(x,y) = (x,y + 3). Is V o W = W o V? Justify your answer.

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Q: If x,+iy,=x,+iy2 then x=y, %3D

A: TRUE for part (1) It is given that x1+iy1=x2+iy2. x1+iy1 and x2+iy2 are complex numbers Two complex…

Q: Let ƒ(x, y) = 4x2 - 9xy + 6y3. Find ƒx (x, y) and ƒy (x, y).

A: To find the derivatives.

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).

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Q: If vector v is represented by an arrow, how is -3v represented?

A: Given: If vector v is represented by an arrow. To find: How is -3v represented?

Q: 2) y"+2y'tey = &t, y(9)= 2, y(0)= 7 et, ylo)= &, /(0)=-7

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Q: If A = yz(^2) i - 3xz(^2) j + 2xyz k , B = 3x i + 4z j - xy k and ∅= xyz , find (a) Ax (∇∅), (b)…

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

Q: This question is from partial differential equation please sir g give me answer immediately

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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: 4) Find mZRTS if mZUTS = 163' and mZUTR = 23°. %3D T. U R

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Q: Solve the following IBVP: Utt = 4uzz 0 0, u, (0, t) = u,(27, t) = 0, t>0, u(x,0) = 0, 0<I< 2n, T.…

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Q: Provide counterexamples for If (A −B) ∩ (A −C) = ∅, then B ∩ C = ∅.

A: The solution is given as

Q: Find mZB. 141° 72° B 47° mZB %3D Submit

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Q: If x + y + z = 12 & x² + y² + z² = 96 & !.!,!= 36 then value -+-+ -%3D X y of x³ + y3 + z³ is

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Q: fx, x, (*1 *2) = T6 IXl<4, 2 < X3< 4 are independent and orthogonal.

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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: If VW = -2z + 29, UX = z + 9, and ST = z + 13, what is UX? %3D V U UX w/ ト

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

A: Let's consider w = (a, b, c, d) So w + u = (a, b, c, d) + (1, -1, 0, 1) = (a + 1, b - 1, c, d + 1)

Q: Bef(u, v) = uv and v calculae %3D + vu- dvðu?

A: To find- Be fu, v = uv and v calculate u∂3f∂u3 + vu∂3f∂v ∂u2.

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: 3. Assume that z= 2(r.y) and ee = ryz Find and

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Q: Suppose T(x,y) = (2x, 2y) and U(x,y) = (x, -y). Is T∘U=U∘T?  Justify your answer.

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Q: - a. ARWZ W WZ RW b. ? ZR %3D c. RW = 15, ZR = 10, and SZ = 8. WZ 2 and RS = ? R

A: Given, ∠WRZ=∠WZS

Q: Find the gereral Solution of the fille d dffferential equation. 3,n1 %3D | -

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Q: 1. For the cross product between vectors a=[h, -1, 8] and b=[k, 5, 7] to be axb= [-47, -5, 17], what…

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Q: f (x, y, 2) = x³ /+42³y² – xyz +x² – Vz5 VI+ 42°y? – ryz+ x² – Vz5 - -

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Q: Calculate az/ax, where xez + zeY = x + y.

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Q: Q,3 Evaluate [II, xyz dxdydz, 3 < x S-2,0 < y S 1,0 S zs-

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Q: write of VV2,V3, where Vas linear Combination. V= (2,7,10), V,= (1,2,3), Vz (1,3,s)3=U,5,9).

A: The given vectors are v=2,7,10v1=1,2,3v2=1,3,5v3=1,5,9 We have to write the vector 'v' in the linear…

Q: (b) P = V3t +6 . O u = 3t2 + 6, P = Vu I| = V32 + 6, P = vu U = Ou = 3t, P = \u² + 6 O u = 2 + 6, P…

A: Given that, P = 3t2+6 . Now, P can be written in terms of u with proper substitution.