дх дх дх du av aw a(x, y, z) a(u, v, w) ay ay dy du av aw az az dz du av aw x + v), y =(u – v), z = 6uvw

Q: if x=u(1-v),y=(uv) then verify that a(u,v) a(x,y). =1 a(x,y)'a(u,v)

A: Given x=u1−v and y=uv We have to verify ∂u,v∂x,y⋅∂x,y∂u,v=1 Solve x=u1−v and y=uv for u and v, we…

Q: If u = x2 – 2y; v =x +y+z; w=x- 2y + 3z, a{u, v, w) _ then %3D o(x,y,z)

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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: Evaluate (zy yz + zz)dV [+] B {(z, y, z) | 0< z < 4,0 < y S 10, 0 <z< 4}. %3D

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Q: 7. m26 = 7x- 24 m27 = 5x + 14 a. m26 = 109, mL7 = 109, Vertical Angles Theorem b. m26 = 86.8, m27 =…

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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: Evaluate the line integral ∫_c (2x − y) dx − (x+ 3y) dy , where C is a straight line from (1,1) to…

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Q: Find ∂w/∂r for w = yz/x, x = θ2, y = r+θ, z= r-

A: To evaluate ∂w∂r

Q: d) f(r,y) = r= 0, y = 1, dr = 0.01 and dy = 0.03 %3D %3D for f.(r, y), let u(r, y) = 4x-y and v(x,…

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Q: if x=u(1-v),y=(uv) then verify that a(u,v) a(x,y)-1 a(x,y)'a(u,v)

A: Given: x=u1-v,  y=uv To verify ∂u,v∂x,y×∂x,y∂u,v=1

Q: Let (1) u(x, y) = xx vx, (2) u(x, y) = In(ex + ey). (3)

A: u(x,y)=xyyx u(x,y)=ln(ex+ey) Repost the next parts.

Q: 2) Find Ow/du and ow/ov for w=xy+ yz + xz, x=u +v, y=u-v, z = uv at the point (u, v)= (1/2,1). 3…

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Q: (a) 3y' In (u) dy

A: We will use the ILATE rule in this example to solve the integral and for solving we use the formula…

Q: if x=u(1-v),y=(uv) then verify that a(u,v) a(x,y)_1 a(x,y) a(u,v)

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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: U, +u, =0, 0<x<∞ 0<y<b ( u(0, y) = f(y), u(00, y) = 0 , , u(x,0) = 0 u(x,b) =0

A: Solving the partial differential equation by separation of variables.

Q: -prave..that. U. W V. W W. 1. V.r

A: dot and cross can interchangea→ × b→.c→= a→.(b→×c→) vector triple  producta→ ×(b→×c→)…

Q: if x=u(1-v),y=(uv) then verify that a(u,v) a(x,y). -=D1 a(x, y) a(u,v)

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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,…

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Q: Prove or disprove: Vx € Q, Vy e Q, 3z E Q, (x < y) → (x < z< y).

A:

Q: f (x, y, z, u, v, w) 3æyzuvw + x²y²w? – 7cz° + 3yvw Calculate [af af af af af af + for a = y= z = u…

A: Solution

Q: af (x,y) f(x, y)=xe"+* 5 у, Х (а) Сompute y af(x,y) X f(x, y)=xe³"+* ,5 у (b) Compute ду y

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Q: Evaluate S, y dv with E = {(x, y,z): 0 <x< 3, 0< y < x, (x – y) < z < (x + y)} %3D

A: Use triple integration

Q: 3. Bir f (1,y, 2) = ee cos 5z fonksiyonu veriliyor. a) grad f (r, y, z) =? bulumuz. b) Bu…

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

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Q: dy if ze18y – 12a4 + 4xy° = 20, Find y %3D O y' = 18re 48a3-4y9 -e18y 18y+36ry8 483+4y9-e18y…

A: We need to find dy/dx of the above expression.

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: OLine 2 メ+スy AN て て)ト LINE 4 2+2 そ C. 1 ANT in UI +( ) - () 1 ANN s + zp ネナス b AN そて十てる 2+2 てん て)を 8…

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Q: Evaluate f(х, у) ds. f(x, у) %3D у + 3 s: r(u, v) = ui + vj + 4vk, 0 sus 1, 0svs 4

A: Given: fx,y=y+3 S:ru,v=ui+vj+4vk, 0≤u≤1, 0≤v≤4 Differentiating r with respect to u, ru=1,0,0…

Q: y = (1,y) O A. 2uv %3D O B. a(u,v) -2uv (1,y) OC. d(u,v) O D. 0(1,y) 0(u,v) 24 E. None of the…

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Q: a2u 1 du 1 a?u = 0, ar? r dr (r,0) = 0, u(r,t)= 0, 0 <rsland u(1,0) = 0 pour 0ses %3D

A: Given,                  ∂2u∂r2+1r∂u∂r+1r2∂2u∂θ2=0                             (1)with u(r,0)=0,…

Q: b) If x = u(1 + v) and y = v(1+u), find vx, Ux and a(u,v) a(x.y)

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Q: Minimize c = s + t + u subject to 3s + 2t + u ≥ 48 2s + t + 3u ≥ 48 s + 3t + 2u ≥ 48 s ≥ 0, t ≥ 0, u…

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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: نقطة واحدة If f(z) = evsin 2z. Then 4 d Vsin 2z Vcot 2z. evain 2z %3D dz TO FO

A: ANSWER 2 :-

Q: 5={cj+ kn, u +vn): nez T={(x,y)EZ:157 x +107 y =- 157 x +107y=1 choose j,K, u,v EZ, such that S=T"…

A: Linear Diophantine equation: A linear Diophantine equation in two variables takes the form of…

Q: [SADT15] If A (x, y, z) = 2yzî – x²y} + xzrkd o (x, y, z) = 2æ²yzwhat is (A · V) %3D 8xy?z4 – 2x*yz³…

A: Ax, y, z = 2yz i^ - x2 y j^ +xz2 k^,andϕx, y, z =2x2 y z3

Q: (4) Evaluate : S[(xy? + yz') dV if Q = {(x, y,z): x:[-1, 1], y:[3, 4], z:[0, 21}

A: Note: As per our company guidelines we are supposed to answer only one question at a time. Kindly…

Q: u:(x, t) = и (т, Urz(T, t) u,(0, t) = uz(1, t) = 0 u(x,0) = f(x)

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Q: Find the Jacobian a(x, y, z) (u, v, w) for the indicated change of variables. If x = f(u, v, w), y=…

A: Find the corresponding derivatives and then find the determinant

Q: 2) Find Ow/ôu and ôw/ôv for w= xy+ yz+ xz, x=u+v, y =u –v, z = uv at the point (u, v)= (1/2,1). 3…

A: If w=f(x,y,z) and x=g(u,v) ; y=h(u,v) and z=t(u,v) then, ∂w∂u =∂w∂x.∂x∂u+∂w∂y.∂y∂u+∂w∂z∂z∂u  and…

Q: U₁ + Ux+Vx = 0, v₁ + UxVx = 0, u(x, 0) = u(x), v(x,0) = vo(x).

A: Given clear explanation below.

Q: y =c,J,(x) +c_Y, (x) .A y=c,J,(x) +c,Y, (y) .B y=c,,(x)+c_y,(x) .C y=c,J,(y) +c_Yn(x)

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

Q: (iv) If Z{y«} = Y (z), yo = 0 and y, = 1, then Z{y«+2} = z²Y – z. %3D (v) Z-1{ = 2* , k = 1,2,3, .

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: find the local extrema with (binding) g = 0.

A: To determine the extrema of the function f(x, y, z) subjected to the constraints g(x,y,z)=0 Write…

Q: az au əz əv əz ?w 11 11 || z = x² + xy³, əz əz du av az aw x = uv³ + w², y = u + vew when u = 1, V =…

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Q: Given: z = a* + æy², x = uv* + w*, y=u + ve" az Find when u = - 2, v = 2, w = 0 dv

A: To find: The value of ∂z∂v, when u=-2, v=2, w=0. Given: The values are z=x4+xy2, x=uv4+w3 and…

Q: Evaluate z cosz dz where C is (1)|z – 1| = 1 (i)피 = 2

A: Answer