Зх + у f(x, у) %3D х — 1

Q: Find fy (x, y) for f(x,y) ry

A:

Q: xyz 3. If (x, y.2)= In +ef), find f,,f, and f.. 4

A: Given: fx,y,z=lnxyz4+e-3xy2z2 The objective is to find fx, fy and fz

Q: y = = Vx, 1s xS 8 Intograte ith

A:

Q: Find the total differential. 4x + у W = 6z - 2y dw II

A:

Q: - f(x, y) = Vx5 + y5. Find f-(0, 0).

A: Given that fx,y=x5+y55.It is required to find fx0,0.

Q: of of and dy 6. For the function f(x.y) = sin ° (6x - 5y), find of df dy II

A: In partial derivative when take the derivative with respect to one variable consider other variables…

Q: Integrate f(x, y) = 4c®* - 0.5y using h = 0.5 with y(0) = 2 from x =0 to 0.5.

A:

Q: xbe inner froduct x+y Lx_y ?

A:

Q: Q4: If f (x,y,z) = x?y³ – y²z³ then fy = %3D -

A: Given,           fx,y,z=x2y3-y2z3

Q: of of For the function f(x,y)% 9x2- 3y°-4, find and dx dy of II

A: While calculating the partial differentiation of a function with respect to X we consider the other…

Q: Calculate fxxyz for f (x, y, z) = y sin(x + z).

A: We first differentiate the given function with respect to x twice. Then y and z will be treated as…

Q: Find dy for given Values OF x and AX y= 4x315x X=-3 and AX = 0.3

A:

Q: Evaluate: xyze-(a+y+z) dxdydz 0.

A: The given problem is from the calculus and subcategory triple integration here in the given question…

Q: Calculate fxxyz for f(x, y, z) = y sin(x + z).

A: For a function in several variables, partial derivative with respect to one variable say x can be…

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

A:

Q: Integrate f(x, y)

A: The region is defined as, Consider the conversion formulae from cartesian to polar coordinates,…

Q: Use chain rule to find express answer in terms of x only. dx y = Vu² – 1 u = 4Vx

A:

Q: Find fz(x,y) and fy(x, y) given f(r, y) = csc yArcsin(r²).

A:

Q: f(x, y) = In(4x + 3y) Calcule

A:

Q: Find fx, fy, fz f(x,y,z) = x – V2y² +z?

A:

Q: Find y" * y" at (1,1) of x'y =1

A: We have to find derivative

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

A:

Q: dz dz and of the function xsin(y+ z) – xy + z² = 2y. ду -. Find the əx

A:

Q: f(z) dz = 4, then 2f(x) – z dz 13 If %3D =

A:

Q: y = In /2x

A: The function is given by y = ln2x

Q: Find fxy(x,y) if f(x,y)= e 8xy² fxy(x,y)=

A:

Q: If x2 + y2 = 4 which has domain Dr=[-2,2] range Rf=[0,2]. Shrink and stretch it vertically by 3…

A: We are given:  x2+y2=4⇒y=4-x2=f(x) For shrinking vertically by 3 units , we have: f(x)→13f(x) Hence,…

Q: of find 4x + 9y of and dy For the function f(x,y) = %3D of dx ||

A: We can answer this question as below

Q: dy - f *P, = 7 dt y(0) = 4.

A:

Q: Find the total differential. 4x + y w = 2z - 8y |

A:

Q: dy of y3Dx dr Find csc2r,

A:

Q: Find the total differential. 2x + y W = 5z - 4y

A: For a function of two or more independent variables, the total differential of the function is the…

Q: 35 Find fyy for f(x,y) = 10x"y* – 7x°y°.

A:

Q: x, y) Edy is

A:

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 fr and fy for f(x,y) = I+y fz = /(r+y)? and fy = /(r+y)2

A:

Q: Find y' for 4x + 5y* – 1 = 132 at the point (2, – 1). | At (2, – 1), y' = Preview %3D

A: Given: 4x5+5y4-132 To find: y'  at  (2,-1)

Q: а. max f (x, y) %3D 4x + 3ху + у S. t. х+4y— 29 3D 0 х+ 4у — 29 — 0

A:

Q: dy when x = 2 dt х = x + 4, find y

A: Differentiation. ddx(f(x)g(x)) = g(x)×f'(x) -f(x)×g'(x)g(x)2 Where, f(x) and g(x) are the function…

Q: Solve: min f (x, y), where f(x, y) = 5x +6xy + 2y² + 2x +2y+1000 x.y

A:

Q: Q9. Find y2 using Reduction of Order y" – 3.ry +4y = 0, Yı 1 = x?

A:

Q: 4. x = 9-y2 ,-2 <y S2 about y-axis vis

A:

Q: Compute Δy/ Δx for the interval [2,4] where y = 5x−7.

A: ∆y∆x for function y=f(x) for the interval [a,b] = f(b)-f(a)b-a

Q: Find the total differential. 6x + y w = 4z - 8y

A: The given function is: w=6x+y4z-8yw=f(x, y, z)

Q: f(x, y) = /32² + 3y fz(4, 5) = VT23 %3D

A:

Q: Find fxy(x,y) if f(x,y)= e 4xy². fxy(x,y)=

A:

Q: Consider f(x, y) = 57x2 +61ry+ 7y? f-(x, y) = %3D and fy(x, y) = %3D

A:

Q: 4) f(x,y) =Vx +y Ans. f.= +y Vx + y?

A:

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

A: We have to find partial derivative.