Find the indicated value of the function f(x,y) = 2x + 6y - 2. f(4, – 2)

Q: Find fx, fy, Tz (3x2 + y2 + 2z²) f(x,y,z) = e - fx=

A: f =e-3x2-y2-2z2  For fx ,we take y and z as constant and x as variable.  fx=∂f∂x For fy , we take x…

Q: Compute the values of dy and Ay for the function y= e4z + 5z given z = 0 and Az = dz = 0.02.

A: Given x = 0, dx = ∆x = 0.02            (1) Here y = f(x) = e4x+5x

Q: 2. Show that the function u = p(xy) + Vry (y/x) provides the equation y². 0. dy?

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Q: f(x, y) = x + y' subject to x + 4y = 29 occurs.

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Q: Find linearization of the function f(x) = Vx + 3 at a = 1 and use it to approximate V3.98

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Q: Find the linear approximation of the function f (x, y) = 2x – y+x?y - near the point (2,0). O 2x +…

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Q: 21) Find the maximum and/or minimum values of f (x, y) = x² + 2xy + 2y² - 6y + 2

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Q: Find fryz from the functions f(x, y, z) = 4x³y² – e²y* ++ 4y – x16 %3D - |

A: To find the third order partial derivative of the function fxyz f(x,y,z)=4x3y2-ezy4+z3x2+4y-x16

Q: H.W 2- Find the linearization of the function at each point. (1) f (x,y)=x+y²+1 P(1,1)

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

Q: 2²y. 3. Consider the function f(, y) =

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Q: Find the linear approximation to the equation xy f(x, y) 2. at the point (4,6,4), and use it to…

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Q: Find the linearization of the function f(x,y) = V9x² + 16y² at the point (1, 1), and use it to…

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Q: Solve for the domain and range of. f(x,y,z) = %3D V4-x2-y²

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Q: Find the linear approximation to the equation f(x, y) = 2, at the point (4,2,4), and use it to 2 %3D…

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Q: Find the linearization L(x, y) of the function f(x, y) = V161 – læ2 – 16y² at (-4, –3). L(x, y) = ||…

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Q: Find fryz from the functions f (x, y, z) = 4x³y² – e²y+ ++ 4y – x16

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Q: Determine the relative extrema of f(x, y) = 2x2 + y2 + 8x − 6y + 20.

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Q: 10x-3y For the function f(x,y,z)= 8z + 1 fx=0 find fx. fy. fz, and fyz-

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Q: f(x, y) = 4x² – y²

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Q: Find the ditterential of the function y = (x + 1(5x - 3). Sx-x-5 dy = (Sx - 3) *?+ 6x-5 (5x- 3)? dy…

A: Use the quotient rule of differentiation ddxuv=vdudx-udvdxv2. Power rule of differentiation…

Q: 3 3 For the function f(x,y,z) = 5+ 7xy – 4z°, find fy, fy, and f,.

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Q: Investigate the stationary values of f(x, y)=x^4+4x^2y^2-2x^2+2y^2-1

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Q: Find the linear approximation of the function y = x at point xo = 1 .3 О а. у%3D Зх - 2 О Б. у3D 3х…

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Q: f(x,y) = (x³ − x)(x² − 1). find fxy(x, ×

A: We have given that ,  fx , y = x3 - x y2 - 1 We need to find , Partial derivative fxy . We know that…

Q: Find f2, fy, and f.- f(x, Y, z) = (4x² + 6y² + 3z²)¯05 fz = fy = f. =

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Q: 2 The Range (Ry) of y = v9 – x² -

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Q: Find fryz from the functions f (x, y, z) = 4x³y² – e²y* + + 4y – x16

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Q: Find the maximum and minimum values of the function f(x, y)-xy subject to g(x, y) = x² + xy + y² =…

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Q: Find fr, fu, and f.. -0.5 f(x, y, z) = (4x² + 6y² + 3z²) fz = fy = f: =

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Q: f(x, y) = 6 – V4 - x2 - y2 is

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Q: Find the linearization of the function f (x) = x6 at x = 1. L (x) = Using this linearlization, f…

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Q: Find the linear approximation L(x) of the function g(x)=  ∛(2+x ) at a = 0 and use it to approximate…

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Q: Supposed that z is defined implicitly as a function of x and y by the equation x2 + y2 +z2 = 4. Find…

A: The given data is: x2+y2+z2=4 To find the value of dzdx

Q: Find fy and fy: f(x,y) = - 3 e 4x-5y f,(x,y) = D

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Q: The antiderivative of the function f(x) +10z is -5 - 5.0z2+c -10 +2.5z2 + c +5.0z2 +c -5 + 5.0r +c…

A: To find:∫5x2+10x dx

Q: Find fyæy. f(x, y) = a*y® – 4x°y + x 4.6 3. -

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Q: Find the general solution of y" = 6y' – 9y where y is a function of x.

A: Given differential equation, y''=6y'-9y Find the general solution of the differential equation.

Q: 5 B) Find y" for the function y = x + Vx at p(1,3)

A: Given query is to find the double derivative of the expression at point p.

Q: Зх +2y The function f(x,y)= is discontinuous at point x +y+1 (5,-3).

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Q: Q3/ Optimize the function Z = x + xị ? Subject to: x1 + x2 = 4 11,x2, 2 0 Using Lagrange…

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Q: 3 Q1// :- find fy,fy at point (4,1) for f(x,y) = Xe

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Q: The antiderivative of the function f(2) +7z is

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Q: Found the line of differentiability of f(z)=x2 - 2xy + 3y + i(2xy - y2 +x)

A: Answer

Q: Find the critical point of the function f(r, y) = – 4+ 8z + 7z - 5y + 6y

A: Find the critical point (x,y)

Q: Find the largest domain (in R²) for the function 1+ Vx + Vy x² + y? f(x, y) =

A: The domain are those values of x,y; such that f(x,y) is well defined. Well defined means that the…

Q: 2) Find the relative maximum or minimum value of f(x, y) = 3x² + 2xy + 10y² - 54x - 308y

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Q: Find f(3,4) for f (x, y) = ln(x + Vx² + y²).

A: We have to find out the derivative

Q: Evaluate S. (x – y)dx + xydx where C is the y = 2x2 – 1 from the point (-1,1) to the point (2,7).

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