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

Q: Find V. (F x G), if F(x, y, z) = 16xi +j+8yk and G(x, y, z) = xi + yj - zk.

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A:

Q: Let f(x, y) = = 160 - 2x² - 4y² For which value(s) of y is f(-3, y) = 7? y =

A: Given function

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Q: 3. Show that f(x, y, z) fxx + fyy+fzz = 0. = 1 x² + y² + z² satisfies the equation

A:

Q: Determine if F = x²yî + (xyz +29)ĵ – x²y²k is conservative or not %3D

A: For vector field F⇀=ui^+vj^+wk^ Curl(F)=i^j^k^∂∂x∂∂y∂∂zuvw   For vector field F⇀ to be conservative…

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A: Given: hx,y=x-y we know that for domain of square root function inside of root not has to be greater…

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Q: then If f(x,y)= x²y+ y, 3x O b. бху 6x O d. o

A:

Q: If g(x, y) = √√3xy - 7x, find gx and gy. 9x = gy =

A: partial derivatives

Q: Find the domain of f

A: We have to find the domain of the function: fx=x-2x-6 We know that for any square root function y=fx…

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

A:

Q: If fxy (x, y) = y for 0 2X - 2) =

A:

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A: To solve the following problem

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Q: Find f, fy, f₂. f(x,y,z) = (4x² + 4y² + z²) e

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: y = Arccot x 2 Arccot /x Vx(1+x) А. Arccot x С. x* +x Arccot x Vx(1-x) Arccot x Vx(1+x) В. D. -

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Q: If f(x, y, z)=√x²y² z², then fxyz (x, y, z) = 2xyz √x² 1² z² Select one: True O False

A: Given: if fx,y,z=x2y2z2 then fxyzx,y,z=2xyzx2y2z2 We have to state if the given statement is true or…