af af If f(x, y) = (x³ + 8y²)³, find and ax ду af Əx af ду II

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 -

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Q: If f (x, y, z) = x'y° z2 + 2°x°y, then fyrzz: (-1, 1, 1) %3D yZI ZIZ

A: Given function is fx,y,z=x3y3z2+z3x3y. We have to find the fyzxzxz−1,1,1. First differentiate…

Q: (a) f(r) = -2x at (-1,2) 3x at (1,3) (b) S(x) = %3D

A: The equation to the tangent line is generally calculating by estimating the slope value of the cure…

Q: If f(x,y,z)=x²y³-y²z³ Then f;= -3y²z2 Jlgn

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Q: 6x + 16y af If f(1, y) then is : 6x 16y ду

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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) =

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Q: af If f(x) = x²yz + xy³z than is дудz x?yz + xy°z yz + y°z Option 1 Option 2 x? + 3xy? y? + 3xy?…

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Q: du -xy du Ifu =f(x² +2yz,y² +2zx) Prove that (y- zx)-(x² - yz) -NX ду

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Q: Find fx (x,y) and  fy (x,y).  Then find fx (2, -1) and fy(-4,3)

A: The given function is fx, y=ln1+5x3y2. Obtain the partial derivatives as follows. fxx, y=∂∂x…

Q: af af and ax 'ay L: f(x.y) = (x + y)(2x + y)² Compute %3D дхду

A: Given that: f(x, y)=(x+y)(2x+y)2

Q: ( Deterauine fiie value of x So fhct e will be parallel to live m. CRefer to Test#2 Problams #13 3/4…

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Q: 2. If F(x, y, z) = 2z3 – 3(x² + y²)z, then verify that Frx + Fyy + F2 = 0. %3D

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Q: f(x, y) = (-x – 2y, x – 4y).

A: Follow the steps.

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: Let f(z) = 5z2 + 3z.  Find u(x,y) if z = 8.2 + 5.9i

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Q: 4. Let f(x, y)=2x*y' . Find f,(x,y)

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Q: Describe and sketch the surface given by the function.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: f(2) — и(х, у) + jo(x, y) и(х, у) — е% сos x — х f (0) = 1

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Q: af (2,0) ay f(x, y) 3D хетУ + 5у%; af (2, 0) = Əy

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Q: A) f(x,y,z) = 2x + y – z , Q = {(x, y, z): 0 < x, z < 2,-2 < y< 2}

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

Q: af Find if f(x,y) = ysin xy

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Q: If F(x,y,z)=x?y-y²z3 Then fz= -3y²z2

A: Given: fx, y, z=x2y3-y2z3

Q: af Find for f(x,y) = e* In(x + 7y). %3D ду 7. -7 e*(x +7y) e*(x +7y) 7(x+7y) 7(x+7y)

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Q: 2² – 6y? Then Let f(x, y, z) y2 + 4z² fz(x,y, z)= fy(x, y, z)= f-(x, Y, z)=

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Q: Ax) %3D х* — Лх2 - 12x where A> = > — Лх? — ЛЕx where ^> v that fis one-to-one on S = [- rmine f(S).…

A: Given, fx=x3-λx2-λ2x,  λ&gt;0

Q: .2 f(x, y, z) = 4xy – 8xyz + 7yz² f,(x. y, z) = &xy– 8yz fy(x, y, z) = | 4x- - 8x2 f.(x, y, z) =…

A: To find the first partial derivatives of: f(x,y,z)=4x2y-8xyz+7yz2

Q: af If f (x, y) = x³y² – y³x² then Je ax ду

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Q: Find fx (x,y) and f, (x,y). Then find fx (2, -1) and fy(-4,3). f(x,y)= ex+y+5 fx(x,y)=

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Q: 3x + 11y af If f(x, y) = then is : 3x – 11y dy - 66x (3x + 11y)² 66x (3x – 11y)² 66x (3x + 11y)2 66x…

A: Partial derivative

Q: f(2ecz tan z - 6z")dz=_ • tan z+z+e secz+z+e • secz-z+e - secz-z+c •- secz+z+e

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Find f(x,y) and fy(x,y). Then, find fx (2, 3) and fy(-1,3) 2ху? f(x,y) e ху + 3 f(x.y)=

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Q: 23. f(t) = 3t - 7, t 1 24. f(t) = 3t2 + 2t, t 3 %3D %3D t + 1 25. f(t) t = 2 %3D

A: in mutiple question we are only allowed to answer first question .

Q: (x²ex²+y ) f(x,y) = } 7²+y2 , (x, y) # (0,0) 0, (x, y) = (0,0) Calculate fx (0,0) or show why it…

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Q: ху af If f(x,y) then is %3D x2+y ax

A: Given function,  fx,y=xyx2+y

Q: Lex f(z) = 22 +zim (z). If f(z) =.u(x,y) +iv(x, y), where 2+: :=xtiy, find.x (х,у) а. х2+ ху-у 2 b.…

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Q: Find div F if F(x, y, z) = (x² + y)i + z²j + (eY - z) k.

A: Our Aim is to find the value of div F if F(x,y,z)=x2+y i +z2 j+ey-zk -(i)Let  F(x,y,z)=x2+y i +z2…

Q: Let F(x, y, z) = x² 7 + y? 3 + 3zk. Then divF(x, y, 2) is: x3 3z2 3 3 2л + 2у + 3 2x i + 2yj + 3 k…

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Q: I+2y 2. r2 = %3D I-2y

A: We have to find the differentiation y'.     According to our guidelines we can solve only one…

Q: af Find if f(x,y) = y sin xy ax %3D

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Q: 7. Compute , and- axay : f(x,y) = (x + y)(2x + y)² ax 'ay

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Q: f: (Z, +) → (Z, +) where f(x) = 2x. f: (R, +) → (R*, .) where f(x) = 2*

A: We will use definition of isomorphism

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…

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Q: af Let f(x, y) = 3x – y4 + 1. Find of and əx ду

A: Given : fx,y = 3x-12y4+1

Q: af 8. Find and ax of f(x, y) = e-* sin (x + y) ду

A: A detailed solution is given below.

Q: af Let f(x, y) = e*/y, Find af and ax ду

A: Given,          fx,y=exy

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 standard matrix representing each given linear transformation.

A: Given: a) L:ℝ2→ℝ2 is defined by L (u1u2)=-u1u2            ...................(1) b) L:ℝ2→ℝ2 is…

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

A: Given :u=x3y2z2+x3yz