- 8x2 5x2 + 5y2 if (x, y) # (0, 0); Consider the function f(x, y): if (x, y) = (0, 0).

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: f(x, y) = Find fx, fxy, and fxyx. 7 8x+5 + 8x³ e-8y

A: The given function is;  f(x,y)=7/(8x+5) +8x3/e-8y.

Q: 2. F(x, у) %3D — (у i-2x) y2

A: I am going to solve the given problem by using some simple calculus to get the required result.

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: f(x) = zx²+ 2x+1, Find f (b)

A: f(x)=3x2+2x+1 , find f(6)

Q: f(x,y)=x² +y° +3xr² – 3y² –8

A: Given f(x,y)=x3+y3+3x2-3y2-8To find critical points, we first compute∂f∂x and ∂f∂y  ,…

Q: f(x)%3D2ײ- 2x-5 given the interval (2, 1) = (a,b)

A: As indicated, we shall use the bisection method to find the root between 1 and 2. We have…

Q: Y Is the midpolnt of XZ.If XZ 8x-4 and YZ = 3x +1, find x.

A: Given Y is the mid-point of line segment XZ XZ = 8x-4 YZ = 3x+1   to solve the given question use…

Q: 3 11. f(x) = Vx-6Vx 12. f(t) = t3 -t3 +4 ww-

A: Basic derivative formula can be used to solve the questions. ddx(xn)=nxn-1ddx(cosx)=-sinx

Q: f (x, y) = 169 x² + y² at (-3,2).

A:

Q: Calculate Vf when f 3x z-y7+ 4x'y+ 2x - 3y-5 at the point (1, 1, 0).

A:

Q: write the domain in interval notation.

A:

Q: 2 f(x,у) 3 V9- х* -Зу;B Р(3, - 3); 13 3 13

A:

Q: f(x, y) = 2y – 6ry - x 2.

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: The domain of y = v2 – x is A. (-0,2] B. (-0,00) C. (-∞,2) D. [2,0) E. 0

A:

Q: Find fxy(x,y) if f(x,y) = (x² + y²)6.

A:

Q: 3x 8y Find f, and f, for f(x, y) = 2y 5x'

A:

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

A: Given, f(x, y)=3x2+3y2 BOUNDARY OF A DOMAIN :- It is the set of all boundary points of the domain D.

Q: The function of two variables f(x.y)=(y-2) x^2-y^2 has:

A:

Q: Find f, (x.y) if f(x.y)=x - 5xy- 4y2.

A:

Q: The productivity of a manufacturing company is given approximately by the function f(x, y) = 20x…

A:

Q: (z+ 1)호(22-2z +3)호 (a2 – 4x + 8) When f(x) = find f'(1). %3D - (2전)

A: Given,         fx=x+112x2-2x+332x2-4x+812

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. =

A:

Q: f(x) =D V4- x2 1는 Jf %3D (-2,2) .1 (-00, –2) U (2, 0) 2 (-0, 2] U [2, c0) 3 [-2,2] .4

A:

Q: f (z) 10x +3 (2)) g (x) = -7x- 4 %3D What does (f-g) (r) e

A: To solve this question, We will use - (f-g)(x) = f(x)-g(x).

Q: whe F(x, y) = 9yi+ 9x2. y2 conservative

A:

Q: xyz 9. f(x, y, z) = x² + y2 + z2

A: Givenf(x,y,z)=xyzx2+y2+z2To find Domain of above functions

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

A:

Q: Find fxy for the function f(x, y) = V3x²y + 5.

A: The given function is f(x)=sqrt(3x2y+5).

Q: Find fxy(x,y) if f(x,y) = (x² + y²) 7. fxy(x,y) = ...

A:

Q: a.f(x, y) = (x² +x + 1)e¬r²/10-y²

A:

Q: Sketch the natural domain of f (x, y) = V(2x² +2y² – 8.

A: The find the domain of a radical function, f(x,y)=2x2+2y2-8, the radicand must be nonnegative,…

Q: Find fxxyzz for f(x, y, z) = z°y2in x. fxxyzz = -12z?y/x2 O fxxyzz = -12zylx fxxyzz = -12zylx2…

A:

Q: f'(x) 2 -4 -3 -2 1 2 3 4 -1 -2 -3 Concave down: 1

A:

Q: Q4. Calculate div F where F = grad(x' + y³ + z³ - 3xyz).

A:

Q: Find f, (x.y) if f(x.y) = x² - 7xy – 9y². (x.y) =|

A:

Q: 2x 10y Find f, and f, for f(x, y) = 5y 3x

A:

Q: f(x, y) = x4 + yA; x2 + y2 = 18

A: In this question, we find the maximum and minimum value of the function by using the Lagrange…

Q: Suppose that f(x, y) = 32 y at which {(x, y) | æ² + y² < 3²}.

A:

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|

A:

Q: f (x, y) = x² + 3y² + 4,

A: Supposing the question is asking to find the local minima value.

Q: f(x,y) = x² - xy +y² – 9x + 6y + 10

A:

Q: 2s -5t f(s,t) = %3D 4s +t %3D f =

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find fxy(x,y) if f(x,y) = (x5 +y³) 7.

A:

Q: f (x, y) x+ 3 ху 3 Бъ-х

A:

Q: (a) f(x, y) = 1 √y - x² (b) g(x, y) = 9x² - y² (c) h(x, y) = 4√√x² + y²

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem.…

Q: f(x, y) = /4x? + 2y² f-( – 3, 1) = |

A:

Q: Find DF of fcx,y)=x²e° at the point (-2,0)-

A: