H.W: Find f, fw, fx and fy if f(x, y) = x+ y+ xy yy>

Q: Given f(x, y) = x² – 3x?y – y", find fz(r, y) = fy(x, y) = frz(x, y) = fzy(x, y) =|

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Q: Find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously f(x, y) = x2 + xy…

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Q: f(x, y, z) = x – Vy² + z

A: Take the partial derivative ony by one with respect to x, y & z considering other as constant at…

Q: if f(x,y)= ln(x^2 +y^2), find fxx(x,y) + fyy(x,y)

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Q: Given f(z, y, z) = V31 – 4y + 6z, find fz(x, y, 2) = fy(x, y, z) = f:(1, y, z) = %3D

A: Given :f(x,y,x)=3x-4y+6z

Q: Let f(z, y) — (-(г + ))5. Then | 20(-(x+y))^3 dzðy dzðydz dz²dy

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Q: If f(u,v,w)=u+v2sinw  and u=x−y, v=y−z, w=z−x find  fx+fy+fz=?

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Q: If Z = x.n. f .f (**²), then show that: X. Zx + y.Zy = y

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Q: dv av and ду ди ди 2. suppose f(z) = u(x,y) + iv(x, y), show that əx %3D ду əx ||

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Q: Find fyy (x,y) if f(x,y)= e 6xy² fxy (x.y) = %3D

A: see 2nd step

Q: Given f(z, y) = 10/6z + 8y + 2xy®, find f.(T, y) = fy(z, y) = [

A: Given query is to find the indicated derivative.

Q: the constant 'c' such tha 5y)âz + (y – 3x)ây z)âz

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Q: Given f(x, y) = 3® – 3xy - 2y, find fz(x, y) =| fy(x, y) = %3D

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Q: Find ƒxx ( x, y)  and ƒxy( x, y).

A: Given, fx,y=3x+yx-1. The objective is to find fxxx,y and fxyx,y.   fxxx,y is found as follows: First…

Q: Find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously f(x, y) = 1/x +…

A: Given:fx,y=1x+1y+xyfxx,y=0fyx,y=0

Q: If f(x, y) = In(4x + y) then: V f(x, y) = i+ j

A: To obtain the gradient of the vector

Q: Given f(x, y, z) = V 4a? + 2y? + z², find fz(x, y, z) = fy(x, y, z) = f:(x, y, z) = |

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Q: Consider f(x,y) = xe*y +. Find fx , fy and fxy. y

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Q: Calculate fw(-1, 2, 0, – 1) where f(x, y, z, w) = xy²z – xu? – e2²-y²–2²+2w=

A: Given that fx,y,z,w=xy2z−xw2−e2x2−y2−z2+2w2 To calculate: fw−1,2,0,−1

Q: f({x, y))) for all c e R and all (x, y) E R?

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Q: If f(x, y, z) = xy + z?x - 3yx z?, find fxy ?

A: If fx,y,z=xy+z2x-3yx2z2 Find fxy ?

Q: Given f(x, y, z) = V 42? + 6y² + 3z², find fz(x, y, z) = fy(z, y, z) = %D f:(x, y, z) =

A: we need to find out partial derivative of first order

Q: Evaluate F. dr. F(x, y) %3D хі + yi C: r(t) (5t + 1)i + tj, 0 sts1

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Q: Find values of x and y such that both f,(x,y)= 0 and fy (x.y)=D0. f(x.y) =x + xy +y² - 3x+2

A: Given that, the function is fx,y=x2+xy+y2-3x+2. Obtain the value of fxx,y.…

Q: x2 B) If w = x".f then show that: %3D x. Wx + y. Wy = nw.

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Q: Find fy (x,y) if f(x.y) = (x° +y®)* fxy (X.y) = %3D

A: Topic = Derivative

Q: 3. Let f(x, y) = x sin xy. Find: (a) fæ(x,y) (b) fy(x,y) (c) fyy(x, y) (d) fyæ(x,y)

A: From the given function: fx,y=xsinxy As we know that: The chain rule: fgx'=f'gx·g'x The product…

Q: If F = x?z + e (y/x) and G = 2z?y-xy?, find: 1. V(F+G) 2. V(FG) at point (1,0,-2)

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Q: Find fy, fy, and f, for f(x,y,z) = 4xy + 6xz + 2yz.

A: Given, f(x,y,z)=4xy+6xz+2yz

Q: Q3: 1f f(x, y) = 4xCy5 + 6x*y* .Prove that: f(x,y) * fxxyy fxx * fyy = 1

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Q: (x + 2y), 0sx<1,0<y<1 fx: 0, elsewhere PG<x<를 &y<b a.

A: Given,f(x)=23(x+2y); 0≤x≤1 , 0≤y≤10; elsewhere

Q: If f (x, y) = V3 + y³ In (z +y°)e*in(zyty") +2² + 10y , then fz (1,0) = |3D %3D O 2 4. O 3

A: Given that fx,y=x3+y33lnx2+y2esinxy+y2+x2+10y3 First we have to find fxx,y where fx=∂f∂x

Q: Let F(x, y, z) = x³yz² – 6x?yz + 9xz – 5y°z. Find F %3D xyz Fxyz

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Q: H.W: Find fr, fyy» fyx and fsy if f(x, y) = x+ y + xy XX ух

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Let f(x, y) = x² + xy + y² where x = 3(t + s) and y = e2st, find . as

A: we have given f(x, y) where x and y are function of s and t.  We have to find the partial derivative…

Q: Let F(x, y) = xy + 2y² + 20x + 6y + 33. Find all values of y such that F(y, y) = –2.

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Q: WAS Given f(x, y) = 5x + 4x*y° - 6y°, find 13 f-(x, y) = | f,(z, y) = %3D faz (a, y) = %3D fay (2,…

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Q: If f(x,y) = xy – xe" + ycos x, then

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Q: If F (x, y, z) = e^xz i + 3xe^y j − e^yz k, then find ∇.(∇ × F)

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Q: Given f(x, y) = x® + 3xy4 – 2y°, find f-(x, y) = fy(x, y) =

A: If f(x, y) is a function then, fx(x, y)  is differentiation of f with respect to x making y variable…

Q: Given f(r, y) 2x* + 4x²y² – 5y°, find fz(x, y) - fy(x, y) = fzz(T, y) = fzy(T, y) =

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

Q: let f(x, y, z) = 2x?y + 3xyz-x z+3y Find: fx . fxy, frz fryz

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Q: H.W: Find fr, fy » fyx and fy if f(x, y) = x+ y+ xy ух ху

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Q: Given f(x, y, z) = V5x – 5y + 2z, find fa(x, y, z) =| %3D fy(x, y, z) = f-(x, y, z) =|

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Q: Is F(x,y)= (2²y,5– zy²) source free?

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Q: Let f(x,y,z)=x^3 yz^2+4xy^2 z+y^2 z-2y^4 z^3 find fxyz

A: Use the following formulae, to obtain the solution.…

Q: Is AX'Y'Z' a reflection of AXYZ across line g? g X. Z' Y X'

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Q: f(x,y) = 2x®y- 5xy +4y f (x,y) = D fxy (x.y) = D fyx (x.y) =D fy (xy) =D

A: Differentiate partially

Q: 4. f(r, y) = + y + xy,find fay and fyz

A: Solve the following

Q: Given the function: f(x, y, z) = x²yz + xy+ +1 find: fz(1, 2, 3)

A: We will find fx1,2,3 in the following step.