Find f, and f, for f(x, y) = 12(6x-3y +8)°. %3D 1,(x.y) = %3D

Q: Use an appropriate form of the chain rule to find dz/de 1. z = 3x?y; a =t and y = t? 2. z = 3 cos a…

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Q: %3D %3D dz Find at (2, -2, 1) if x + y? +z2 = 6xz+6yz+21 = 5 =D1

A: Given equation : x2+y2+z2=6xz+6yz+21

Q: = Find fus fay, fyx and fy for f(x, y) = e*/y

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Q: Given z = f(x – y, 2x – 2y, 3x – 3y). Show that dz dz + 0. ду

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

Q: A) Use the chain rule to find where w'sy',x= sint + cost y = cost - sint. B) If f(x. y) - xy?+ x'y ,…

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Q: ax + by = f %3D сх + dy 3 9 y are the variables. t relationship between a, b, c, d, f,g must hold in…

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Q: y=--; x = 2, dx Ax = 2 0. y%3D

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Q: Given f(x, y) = x° + 2xy³ – 2y", find fz(x, y) = fy(x, y) =

A: Given  f(x, y) = x6 + 2xy3 - 2y5.

Q: Given dy dy dz² +2 + 5y = e dr and y(0) = 0 and = 0 find the value of y(0.1) and y'(0.1) using the…

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Q: On the coordinate plane below, sketch a graph of the antiderivative of f(x) that goes through the…

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Q: D = {(x, y) E R² :0<x <∞, 0 < y<∞} olmak üzere, [ rye--v°dA D.

A: A multivariable function f(x,y) is a rule that is used to associate a number or quantity with a…

Q: C is given by x = t', y = t', z = t', where t runs from 0 to 1. Evaluate (z dx + xdy + y dz) 33/20

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Q: Using the substitutions X = u+2, y=w+2; dx = du, dy= dw, the DE with linear coefficients (x + y-…

A: Using the substitutions X=u+2, y=w+2; dx = du, dy=dw, the DE with linear coefficients (x+y-4) dx +…

Q: For the equation of y?dy = x(xdy – yd )e*ly. 1. Find the function M(x, y) and its degree 2. Find the…

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

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Q: "III. Vf dr = , where f = xy²z and Cis given by r (t) = (t +1, t², t³),0<t<2

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Q: Evaluate . y? cos(x) dx + 2ysin(x)dy where C is the straight line between (0,0) and

A: The equations of the straight line joining (0,0)to π2,1 are x-0π/2-0=y-01-0=t(say) i.e. xπ/2=y1=t…

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

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Q: In Exercise, verify that S and T are inverses.

A: GivenS:R2→R2 by Sxy=4x+y3x+yT:R2→R2 by Txy=x-y-3x+4yTo check S  and T are inverse of each other.

Q: Find the solution u(x, y) of u+sin(r) uy = y for z, y ER, u(x = 0, y) = 0.

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Q: Integrate f(x, y) = y(x² + y°)° over the domain æ? + y? 0.

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Q: Find an antiderivative of v(x) sec?(8x) + 3x³, Assume that the value of the arbitrary constant is 0.…

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Q: af af a²f 1. Given f(x, y) = x' + y* find ax ' dy' dxdy and - дудх

A: Please see the answer below

Q: Find the general solution: k²dx + (x – y + k)²dy = 0 a. y+k arctan ( ) b. y +k arctan(x + k) = c c.…

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Q: xy*dx + x?dy, where C is the le with vertices (0,0), (4,0), (4,5), and

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Q: (e) The method ди = dx h order 2. [u(x+h),y(t)—u(x,y(t))] is of

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Q: for w = x°y°z. dy Calculate

A: We have to find the partial derivative of the given function with respect to y.

Q: Given f(x, y) = 5z² + 42°y° – 2y“, find fr(x, y) = fy(z, y) = fer(1, y) = fry(x, y) = %3D

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Q: Find Vq if (a) =In (r) %3D (b) p= In (-) %3D We know r= /x² + y² + z2

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Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 100e-²-y²-722

A: In this question, the concept of the derivative is applied. Derivative The derivative expresses the…

Q: 9. Find y", given y = %3D Vx-1

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Q: fy = e*, y = 1 - e-x, and x = 0 ab- %3D

A: Given: - The curves of, y=e-x, y=1-e-x and x=0 about y=4.5 To find: - The volume of a solid is…

Q: Find aw/@s and dw/at using the appropriate Chain Rule. Function Values .3 W =V 4, t = 8 X = e, y = e…

A: We can solve this as follows:

Q: dz Given z = e* sin y,x u? + v2,y = uv, find - dv %3D %3D

A: Here I am attaching image so that you understand each and every step.

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

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

Q: Find the yacral Selution Sulution 2. d 2. dy +y=D0

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Q: E- Use the chain rule to express dy / dx in terms of x and y: a) y=7+1 and t=2x+1 1 b) y=7+1 and x=…

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Q: Given that f(z) = y – x – 3x²i. Find S f(z)dz OB B-1+i A=i

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Q: Given f(x, y) = 3x° cos (y"), find f-(r, y) = fy(x, y) = fae (x, y) = fyz (x, y) =

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Q: Given f(x, y) = – 5x + 6xy° + 3y, find - fa(z, y) = %3D f,(z, y) = !!

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Q: %3D 23. f(x, y, z) = 2x + z? subject to x² + y? + 2z? = 25

A: Lagrange's Multipliers: The Lagrange method is used to maximize or minimize a general function…

Q: dz and Use the chain rule to find du for z = 4x?y3 – 2x² + 3y where x = uv and y = u –- v

A: Given, z=4x2y3-2x2+3ywherex=uv and y=u-v

Q: Given f(x, y, z) = x In(yz³), find fay and fyz. %3D

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Q: Find vf(x, y) if f(x,y) = e* c cos y 5.

A: Note : according to our guidelines we can answer only first question because there are multiple…

Q: T(z, Y, 2) = 1500e 2y

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Q: R = {(x,y) E R ×x R : x > y} T = {(x, y) E R × R : x > y}. RoT.

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Q: Q2: Given y = f (u) and u g(x), find dy/dx: y = 2u3, и %3D 8х — 1

A: Differentiate

Q: Find Vf(x, y) if f(x,y) = e** cos y ..... ...

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