3. Find V x F for F(x, y, z) = -IZ i+ x² + y² -yz 1² + y² +√x² + y²k.

Q: Find div F for F(x. y, 2) = (xy, 5 - zy, x +y). Select the correct answer below: O x- O y-? O x-5- O…

A:

Q: Let f(x, y)=√x² - y² Which of the following regions are in the domain of f? OA Ов Oc OD A C B

A: The given function .The objective is to find the regions that are the domain of the function.

Q: Find √ √ (4x + 5y)dA where D = {(x, y) | x² + y² ≤ 9, x ≥ 0} D

A:

Q: If f(x,y)=x²y³+x4y, find f XX 2y³ + 12x²y 2xy³+4x³y □ 6x²y 6xy² + 4x ³

A: Topic = Derivative

Q: The domain of f(x, y) = ln (√9-x² - y² is XXXX A. R B. {(x,y) e R² | x² + y² =9) C. R² D. {(r.y) R²…

A: Given that the function is:                        To find the domain of the given function.

Q: For the function f(x,y,z) = In (8x + 7y+ 10z), find fy, fy, and f,. fx fy =D Iz =

A: given,      fx,y,z=log8x+7y+10z

Q: Find f.(x, y) and f,(x, y) for f(x, y) 3x3 + 8y? – 6x + 4y and evaluate each at f(4, 5). f.(x, y) =…

A:

Q: f(x, y) = 3x³ – 2x² y + 5xy + 7y + 14 - Evaluate: %3D dxôy О а. -6х O b. 10y – 4x О с. 0 d. 9x + 7y

A: Given problem:-

Q: Given f(x, y) = 2x³ – 3xy – y³, find fxx(x, y) = fay(x, y) =

A:

Q: Find V x (V × F) if F(x, y, z) = xyj+ 6xyz k. V × (V × F) =

A: Given: Fx,y,z=xy j+6xyz k To find the  cross product of ∇×∇×F

Q: For the function f(x,y) = 7x² + 6y², find f(x + h,y)-f(x,y) = h f(x+h,y)-f(x,y) h

A:

Q: Find fax, fxy and fy for the function f(x, y) = 3x³ + 3xy² + 2x³y² + 3y² Select one:

A:

Q: Let f(x, y) = x² + y² - 4 2 y-2 Find fay(x, y).

A:

Q: Find f, and f, for f(x, y) = 10(9x – 8y+ 12)°. fx(Xx.y) = f,(x.y) D

A:

Q: Let f(z) = x? + iy² where æ and y are the real and imaginary parts, respectively of z and C is a…

A:

Q: Find the largest domain (in R²) for the function 1+ Vr+ Vỹ x² + y² f(x, y) : =

A: Given: The function f(x, y)=1+x+yx2+y2.

Q: Given a function f(x,y,z) = 5x² In (7y + 3z). Find the domain of the function. %3D o {(xy,z) |z >…

A: Use logarithms definition to choose the correct answer.

Q: Find Əf ax and Əf Əy 2 f(x,y) = √2x² + y²

A:

Q: Find all values of x and y such that f (x, y) = 0 and fy(x, y) = 0 simultaneously. f(x, y) = x² +…

A: The given function .The aim is to find all values of  and  such that .

Q: Find V x F for F(x, y, z)= - -xZ + y² i+ -yz x² + y² =j+√x² + y²k.

A:

Q: b) If it is possible, find the function f(x, y) = u(x, y) + iv(x, y). where u(x, y) = x2 + 2xy- y²…

A: That's easy. Have a great day!!!

Q: 3. Find V x F for F(x, y, z)= -x2 i + x² + y² -yz x² + y² =j+√x² + y²k.

A: Given function:To find Known facts:

Q: Given f(x, y) 90x + 80y - 2 – 4y? – xy, and evaluate f(8, 5). f(8, 5) = %3D

A: Given : fx , y = 90x + 80y - 2x2 - 4y2 - xy  To fine : f8 , 5 Solution : For value of fx , y , put x…

Q: Given f(x, y) = -6x4 - 5xy² + 3y5, find fxx (x, y) = -72x2² fxy(x, y) = 10y ✓ X

A:

Q: Find f, and f, for f(x,y)=y In (2x+7y).

A: F(x,y) = y ln(2x + 7y) To find : fx and fy

Q: Sketch the domain of f(x, y) = √4x² - y² x - y² on the ry-plane.

A:

Q: df find dz

A: