Find fx, fy and f2, and evaluate each at the given point. f(x, у, 2) %3 х2уз+ 2хyz - буz, (-3, 1, 3) 0 f(x, y, z) 0 fx, у, 2) 0 f-(x, у, 2) X fx3, 1, 3) fy-3, 1, 3) f-3, 1, 3) =-9 -12

Q: f (x, y) = 3x²: f (x, y) = x² + 3y²: f (x, y) = y – 2x?: f (x, y) = 5x² – 5y²:

A: The function f(x,y)=3x2  Level curves are made by fixing values of fx,y=k.…

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

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Q: (x, - x)(y, – V) 22- 57 9.6 9.6 - 13.442857 - (-35)(-3.842857) 134.499995 --35 -3.842857 (- 9.6 -30…

A: Given that , x¯ = 57 and y = 13.442857

Q: Solve for x, y, z and w. (Enter your ansv x + y y + z 3 5 z + w 8 5 (x, y, z, w) =

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Q: Find f, (x.y) and f, (x,y). Then, find f, (1,-3) and f,(-1,- 2). f(x,y) = - 5xy + 2y +6

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Q: Suppose f(x, y) = x" + y*. Find fa(1, 1), f,(1, 1), and fz (x, y)

A: Given :f(x,y)=xy+yx

Q: a) f„(x, y) b) f (х, у) уу ух 1 3 Зу'х + 5ху 3y'x .3. f (x, у) 16x*y4 -

A: (a)

Q: 8T 3/2 /1+ 4t² dt A. 3 2 87 t3/2 /1 – 4t + 4ť² dt 3 В. 27(t – t²)/1+4t² dt с. 2 D. 27(t – t?)V1 – 2t…

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Q: S6xw, fx,w (x, w) = 0, 0sxs 1,0 < w s Vã otherwise (3x2, fx(x) = lo, 0<x<1 otherwise

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Q: (d) If F(x, y) = (4x² - y², -2xy), then f(x, y) =

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Q: Find fx (x,y) and  fy (x,y).  Then find fx (2, -1) and fy(-4,3) ƒ(x, y) = -3x4y3 + 10

A: The given function is fx, y=-3x4y3+10. This implies that, fxx, y=-12x3 y3fyx, y=-9x4 y2

Q: Find fx(x,y) and fy(x,y). Then find fx(2,1) and fy(3,-2)  f(x,y)=5x3y2 fx(x,y)=________…

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Q: Calculate fx (1, 3) and fy (1, 3) for f (x, y) = √(7x + y^2).

A: For a function of two variables, partial derivative with respect to one variable is calculated by…

Q: Find fx fy, and f₂, and evaluate each at the given point. f(x, y, z) = x²y³ + 2xyz - 7yz, (-3, 1, 3)…

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Q: 5,4 R(x,y) = 3x* - 3x°y" + 5x°yª Ryx Ryy = Rx y = Ryx = II

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Q: Iff (x, y) = 4x³ +7y², findf (1,2).f; (1,2).f, (1, 2). f (1, 2) = fx (1, 2) = fy (1, 2) =

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Q: Find fx (x,y) and  fy (x,y).  Then find fx (2, -1) and fy(-4,3) ƒ(x, y) = 9x2y2 - 4y2

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

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

A: Given, f(x,y) = 3x2 y3 To find fx(x,y) means partial Differentiation of f(x,y) taking y as constant…

Q: f(x) = (x – c)? (a) c = 0, 1, 2, 3; [-5, 5] by [-10, 10] 10 8 17 6 15 -4 -3 -2 -1 -1 -2 No Solution…

A: We have to graph the function f(x)=x-c2 for different values of c.

Q: Find fx (x,y) and  fy (x,y).  Then find fx (2, -1) and fy(-4,3) ƒ(x, y) = x2e3xy

A: Consider the provided function, fx,y=x2e3xy Find  fxx,y  and  fyx,y then find the value of fx2,-1…

Q: Calculate fx(l, 3) and /y(l, 3) for f (x, y) =

A: Given: fx,y=7x+y2

Q: d.A, A = {(x; y) E R² : y € [0, 1], x € [y², e-]}

A: Given: I=∫∫A1x34dA   A=(x,y)∈R2: y∈0,1, x∈y2,e-y

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

A: Given: f(x,y)=ln|3x4+5x2y2|∂f∂x|(2,−1)=fx(2,−1)=?∂f∂y|(−4,3)=fy(−4,3)=?

Q: Find fx (x,y) and  fy (x,y).  Then find fx (2, -1) and fy(-4,3) ƒ(x, y) = 5x2y3

A: fx, y=5x2y3

Q: Match the equations listed in parts (a) – (d) to the graphs in the accompanying figure.

A: Given: a) y=(x-1)2-4  b) y=(x-2)2+2c) y=(x+2)2+2d) y=(x+3)2-2

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: f(x, y) = x* + 2y³, R = [1, 2] × [2, 3]

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

A: Given: fx, y, z=x2y3-y2z3

Q: In Exercises 11–18, find the slope of the function’s graph at the given point. Then find an equation…

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: Find fy (-1,-4,-2) if f(x, y, z) = x³ z4 + 2xy – y? z + 1.

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Q: Find fx (x,y) and fy(x,y). Then, find fx(-1,-4) and fy (-3,2). 32 f(x,y) = 4x³y² fx(x,y) =

A: We have to find partial derivatives of Given function.

Q: f(x, y, z) = 2 ≤ x ≤ 10,0 ≤ y ≤ 4,0 ≤ z ≤4

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Q: If f(x.y,z)= y + xz then f ,(1,1,1) =

A: The given function is  f(x, y, z) = y5 + xz

Q: 3x + y + z = -2x - y x + 3y - Sz - 11 -7 A. (2, 3, t) В. (2, 3, 0) OC. (2 +t, 3 - 2t, t D. (2 - t, 3…

A: A general system of m linear equations with n unknowns can be written as {\displaystyle…

Q: Find fxy(x,y) if ​f(x,y)=(x^3+y^4)^7. fxy (x,y) =

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Q: 1. уд y = 5x -x y=Vx+2 (4, 4) X= 2 y x x+1 y = 1 2.

A: "Since you have posted multiple figures, we will answer the  questions 1,2 and 3.  If you want…

Q: Vy + z f(x, у, 2) 3 (а) f(1, 5, 4) (b) f(6, 7, –2)

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Q: f(x,y)= exsin (y), fx(x,y)

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Q: Determine D,f (4,-1,6) for f(x,y,z) = ery + 4zx in the direction of (-3,2,6).

A: Given fx,y,z=ex2y+4zx3 in the direction of -3,2,6

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

A: Explanation of the solution is given below....

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: Find values of x and y such that  fx(x, y) = 0 and fy(x, y) = 0  simultaneously. f(x, y) = 7x3 − 6xy…

A: Given, f(x,y)= 7x³-6xy+y³ fx= 0 fy= 0

Q: Find fx(x,y) and fy(x.y). Then, find fx(- 4, – 1) and fy(- 1,3). 23| f(x.y) = In |8 + 5x²y³|

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Q: - find x, y z Select one: а. X-3,у-2,z-1 b. x=3,y=-2,z=1 С. X-3,y-2,z-1 d. x=3,y=2,z=-1

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Q: f (t) = 6e-6t + et + 5t³ – 9 As5 + Bs* + Cs³ + Ds² + Es + F F(S) : Gs6 + Hs5 + Is4 + Js³ + Ks² + Ls…

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Q: Find fx (x,y) and f, (x,y). Then, find fx(1, -2) and fy (-3,3). f(x,y) = -2xy +9y² + 10 fx(x,y)=

A: We can find the answer as below.

Q: In Exercises 4-15, find the minimum and maximum values of the functionsubject to the given…

A: Consider the function fx,y=2x+3y with constraintsgx,y=x2+y2=4

Q: Find f, (X,y) and fy(x,y). Then, find fx(-3,1) and fy(-4, - 2). f(x,y) = - 2xy + 3y + 8

A: Given that: f(x, y)=-2xy+3y3+8

Q: Find fx ( x , y ) and fx ( 3 , -2 ) and fy ( -2 , 1 ) .  f ( x , y ) = 8xy + 4y4 + 8

A: