x4+6y5 find fy. fy f-4,-4), and f,(1,-1 For the function f(x,y) =

Q: F (x. y) = 3x²+3y² –18y+15 4- /2x+4y+4 a) Find domain b) Draw sign Diagram

A: The given function is Fx,y=3x2+3y2-18y+154-2x+4y+4. (a). We know that the domain of a function…

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

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Q: 2. y"-y-6y = u(t – 1) – u(t – 4); y(0) = 1, y(0) = -1

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

A:

Q: du dv Find дх ду 3u²-2v=2x+6y+1 and u- when given, u, v is a function of x, y corresponding to the…

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Q: Find the function y(x) satisfying dx2 = 12 - 12x, y'(0) = 5, and y(0) = 8. ay = 12- 12x, y'(0) = 5,…

A: an initial value problem  is an ordinary differential equation together with an initial condition…

Q: f Gx,y) x+ 3 XY %3D

A: We have to check

Q: X2 , 1 avuu. 3 VA 3. x = y3, 0 sy s1 about y-axis.

A: Given function is x=y^3

Q: f(x, y) = 1 + x2 - y2 R = {(x, y): x2 + y2 < 1}

A: Find the area of surface given by z= f(x,y) that lies above the region R.

Q: Q (1): Find fxyz for the function: = xe² + ye* + zey a) f(x, y, z) %3D

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Q: (x² + f (x,y) = 2yx² + at the point Po(1, 3).

A:

Q: [x² - y² If f(x,y)=2x-2y m if y = x if y=x then:

A: Given the function,   fx,y=x4-y42x-2yif y≠xmif y=x

Q: (3x)i + (3y)j + (3z)k F = x3 + y3 + z3

A:

Q: Find fy (4,0) if f(x.y) = 3x e . f,(4,0) = O

A: problem is solved using partial differentiation

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: y" +hy = 0, 0<x<- .y(0) = 0, y'= 2

A: According to our company policy, we are supposed to answer only one question at a time. For the rest…

Q: 4. Sketch: (a) f(x, y) = 4 – x² – y? f (x, y) = x² – y² + 2x ** (b) (c) f(x, y) = /A– x² – 4y² f (x,…

A: 4. (a) We are to sketch the graph of the function f(x,y)=4-x2-y2 \

Q: y = 2 – x², y = x²,x = 0 about the y-axis

A: Given y=2-x2, y=x2x=0 To find Volume  about y axis By using shell method Intersection Point  x2=2-x2…

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: Find fx (x,y) and  fy (x,y).  Then find fx (2, -1) and fy(-4,3) ƒ(x,y) = 7xy + 2y3 + 6

A: The partial derivative of a function can be calculated by using same techniques of ordinary…

Q: y(t) = y" - 3y' = 8e²t - 2e-t, y(0) = 1, y'(0) = -1

A: Given

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

A:

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

A:

Q: 3. (D2 + 2D + 1)y = 0; when x = 0, y = 1, Dy = - 1.

A:

Q: f(x,y) = x +y +8x- 2y

A:

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

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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)

A:

Q: Q3: Find fyyx & fxyy for the function: f(x,y) = x sin y+ e³

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

Q: f (x, y) = xy 9x +y = 18

A:

Q: Find the linearization L (x, y) of the function f (x, y) = V101 – 4x2 – 9y? at (-2,-3). L (x, y) =…

A: In the question it is asked to linearize the function f(x, y)= 101-4x2-9y2 at (-2.-3).

Q: xy = 9, y"' at x = 1, y = 9

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative

Q: 2L, - 2L <I< 0 f(z) = f(x) %3D 2L- r, 0SI< 2L

A: Given, To find the Fourier series of on is where, and

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

A:

Q: F (x. y) =- 3x2+3y2-18y+15 4- /2x+4y+4 a) Find domain b) Draw sign Diagram

A: Given Functionfx,y=3x2+3y2-18y+154-2x+4y+4We will find the domain and Draw sign diagram

Q: f(x,y)=x^2/y at (3,2)

A:

Q: y'' + ly = 0, yl - 4, y' s'(=) - 2 y(t) =

A:

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

A:

Q: y(2x- xy ty')da-x (2x-y) dy =0, when x(4):0 %3D

A: Given: y(2x² - xy + y²)dx - x²(2x - y)dy = 0, when x(1/2) = 0

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

A:

Q: Find y' for x^2y^4−3x−3y=13 at the point (−1,2)

A: Given Data: Equation: x2y4-3x-3y=13 Point: x, y=-1, 2   Differentiate the above equation with…

Q: dy The function y(x) satisfying - 14/15 and y(- 1) = - 3 is y(x) =| dx

A:

Q: f (x, y) x+ 3 ху 3 Бъ-х

A:

Q: Do the equations x2 + ys + yt? = 13 and y? + x²s + xt2 = 9 define s and t as functions of x and y…

A: We will find out the required value.

Q: f(x,y) = 3y3 – 2xy + 12y – 3x² – 8x – 16 then fy equals ух

A:

Q: Find an equation of the secant line containing (1, f(1) and (2, f(2). 19) f(x) = x3

A: Given,         The equation of the secant line containing 1,f1 and 2,f2 and the line          is…

Q: (d) Calculate the coordinates of the stationary points of the function z(x,y) = x³ – y³ – xy + 6.

A: We have to find the stationary points i.e., the critical points of the function zx,y=x3-y3-xy+6.…

Q: dy = 6x-5 and y(5)%3D0. dx Find the function y(x) satisfying The function y(x) satisfying dy = 6x -…

A: our objective is to find y

Q: Solve for fxx, fxy, fyx and fyy given f(x, y) = 2 ln(x − y).

A: The given function is:fx,y=2 lnx-y.We need find fxx, fxy, fyx and fyy

Q: Find fy (x,y) if f(x,y) = 7x2 +5y2-6. %3D

A: We have to find partial derivative.

Q: F = (y³, -x°, xyz) 3 Find V x F.

A: