Find fy(x,y) and fy(x,y). Then, find fy(- 3,1) and fy(1, – 4). f(x,y) = In |7 + 4x°y²|

Q: Find f(x, y)dx and So f(x,y) 1. f(x, y) = 12x²y³ %3D

A: Given- fx,y=12x2y3 To find- ∫05fx,ydx and ∫05fx,ydy

Q: Q5: a. Find * and for u - p=x+y+z ,and q = x+ y+ z, and r=x+y-z, at the point (x,y, 2) = (v3, 2,1).…

A: a)                          u=p-qq-r                             p= x+y+z;…

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: 2: find fr. fy, and fz. a f(x, y. 2) = I+ xy- 22 2

A: Given f(x,y,z)=1+xy2-2z2 To find fx, fy, fz

Q: Find the exact value of Duf(-2,-1,-3) in the direction of v = 3i+ 4j + 5k for the function f(x,y, z)…

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Q: Let f(x, y) = 12x² + 7y² + 3x + 3y+ 6 Find D = frz · fy – fåy-

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Q: Q3:- Find fx, fy if f(x, y) = y+cosx 2y %3D dw

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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: f(x) = Vxdx 0. 1. Trapezoidal Rule

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Q: Given f(x, y, z) = 2e(z+y), Find fy(0,},-4).

A: here we have to find partial derivative of a function w.r.t. 'y' and here we also use chain rule.

Q: f(x, y) = e*cosy + esinx , find fx , fx» fxx» fyy, fxy» fyx·

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: f(x, y, z) = ln(x² + y² + z²) at the point P(1, 3, 2) in the direction of

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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 linear approximation to the equation f(, y) = 3. xy at the point (6, 4, 6), and use it to…

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Q: o Find the Vf at the given point 3.f (x,y,z)= 2e2x-y+z,P(1,3,1)

A: Explanation of the answer is as follows

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

A: see 2nd step

Q: Determine fzz, fyy, and fz for f(x,y,z) = x²y³z – y sin(xz) + e».

A: When the partial differentiation is done with respect to a specific variable, then all other…

Q: Given the function: f(x, y) = y°e -5x a. Find fyy(x, y) b. Find fyyæz (0, 1)

A: a)f(x,y)=y3e-5xPartial differetiate w.r.t yfy(x,y)=3y2e-5xPartial differetiate w.r.t…

Q: Find the extrema points of f(x,y) =x3+6x2+3y2-

A: Given, fx,y=x3+6x2+3y2-12xy+9x Partially differentiate fx,y with respect to x: fx=∂f∂x=3x2+12x-12y+9…

Q: Find ( fx, fy, fz» fxy » f yx » f xyzf zzx) for the function: ух f(x, y, z) = xyz +x²y + z³x+ x²y²

A: Given:

Q: f(x, y) = 3x2 +y+ z Find fx at (0,1,1) %3D 1) 0 2) 1 3) 3 4)-1

A: Given: fx,y=3x2+y+z For finding partial derivative of given function with respect to x, we assume y…

Q: Find fy(x,y) and fy(x,y). Then, find fy(- 1,4) and fy(1, – 4). 5x3y f(x,y) = e Xy +3

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Q: Given the function: f(x,y) = x cos (xy) – x²e*Y - Find fa(x, y) а. b. fy(x, y) a fzy(T, y) C.

A: As per our guideline we are supposed to answer 3 sub parts of a question please repost the other…

Q: Let f(x, y) = xy+ + 2x²y + 4y5 (a) Find fr- (b) Find fy-

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Q: Q: Find the fx and fy as functions if f(x, y): 2ysin²(x + 5xy) y+ cosx cos2(y2 + 2x²)

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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: Given f(x,y,z) = x³yz². Find fy(1,1,1)

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Q: A. Find fxx, fyy,fyx, and fxy for the functions: 2. f(x, y) = In(xy) + tan(xy)

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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: lf f(z, y) = 5ery + 1 sín (inr + y) + 2r + 3y, find-a-,-,-and

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Q: Q4: Find f for f(x,y,z) = xcos(y + 3z) + xyz at the point ( 1,3,-1)

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Q: Q8) Find the Linearization f(x.y.z) = x² + xy + yz +? at (1,1,2)

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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: (e) Find and classify the stationary points of f(x, y) = x³ – 6xy + 8y³. %3D

A: Solution   c f(x,y)=x3-6xy+8y3       first we write down the partial derivative of f(x,y)…

Q: Q1. If g = xy — yz — zx and F = x²y ī − 2 y²zī – z²x k, find F. grad g and cross product of F and…

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Q: Find fxx, fxy, fyx, and fyy if f(x, y) = sin²(x – 3y) %3D

A: f(x,y) = sin2(x - 3y) fx = 2sin(x - 3y)cos(x - 3y) fy = 2.(-3).sin(x - 3y)cos(x - 3y) = -6sin(x -…

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

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Q: Q3) for f(v) = sec2 (3v-1) and g(v) = tan2(3v- 1) show that %3D S(v) = g'(v).

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Q: Find fy and f, for f(x, y) = 10(4x – 5y + 11)°. f, (x.y) =O fy(x.y) =|

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Q: The values of fx , f y and f, at (1,1,1) for the function f (x,y,z) = x² + xyz +z are fy= Choose. +…

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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: : @ use suitable linearization to find the approximate value for the Function at point p. f (xy) =…

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Q: Find the values of ∂z/∂x and ∂z/∂y at the points z3 - xy + yz + y3 - 2 = 0, (1, 1, 1)

A: Given: z3-xy+yz+y3-2=0  At the points (1,1,1) To find: The values  of ∂z∂x and ∂z∂y.

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: F(x,y)= (y² – 2x) i + 2xyj is conservative or not. If it is find a function f such that F = Vƒ.

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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: xy Find the linear approximation to the equation f(x, y) = 2, at the point (2,6,4), and use it to 3…

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Q: Eliminate the parameter t: x = (v0cosa)t, y = (v0sina)t-16t2

A: *to find:- equation in the form of x & y only, by eliminating the parameter t.

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.