Verify that fy = fx, for the function f(x,y) = x° + 3y° +7. 9 For the function f(x,y)=x° + 3y° +7, fxy = fyx and f, =. Therefore, fy = and fx since %3D %3D %3D

Q: Graph the function. 10) y = sec (2x - )+ 2 A) B) 3n x 2 C) D) Зл х 2.

A: graph the function

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Q: Find fyyzz if f(x, y, 2) = cos(3y + az). Then evaluate fygazz at point (, 0, 4). COS

A: *Use chain rule

Q: Find the indicated value of the function f(x.y.z) = 3x - 5y? + 9z° - 6. f(9, – 3,1) f(9, - 3,1) = O

A: f(x,y,z)=3x-5y2+9z3-6f(9,-3,1)=3×9-5×((-3)2)+9(13)-6f(9,-3,1)=27-45+9-6f(9,-3,1)=36-51f(9,-3,1)=-15

Q: Saved DUndo 118% 1. Find mZJHI. KA+LB=G0° 3メ*2+12メー17=aoo (3х

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A: Given: x3z2-5xy5z=x2+y3 To Find: ∂z∂x=?∂z∂y=?

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A:

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A: The divergence of a vector field F = <P,Q> is defined as the partial derivative of P with…

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A:

Q: Find fyzy. f(x, y) = x°y® – 7x°y+x

A: Given: fx,y=x5y9-7x7y+x   We can write as: fyxy=∂∂y∂∂x∂f∂y So, ∂f∂y=∂ ∂ yx5y9-7x7y+x=∂ ∂ yx5y9-∂ ∂…

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A:

Q: froblem 2/ Drive the function below. t-y=Vx-secx+3 2-y=(Secx + tanx)(secx – tanx) 4-4=5+ Cota tan 9…

A: we have to find the derivative of the following.

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A:

Q: Find ƒxx ( x, y)  and ƒxy( x, y). ƒ(x, y) = -3x2y3 + x3y

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A: Given function:- fx,y=2x3+x3y2+3xy2+y3

Q: Find z,(-1,2) if z=In(5x°y²+2y*). Answer:

A: We can find the answer as below.

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Q: Form the partial cquatins by eliminating the fiam differential z- Qta) (?+b) atbiliary constant)

A: We have to form the partial differential equations by eliminating the arbitrary constants from…