9. If f (x,y,z) = 3x²y – xyz + y²z? _Ifind each of the following: fy (x, y,z) C.

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: 2. / Vy² – 4y + 10 dy

A:

Q: xy* Let f (x, y) = if (x, y) # (0,0) and f (0,0) = 0. (a4+6y8)

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Q: Q3. Find y= fx) such that y

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Q: If (4x + xy):(5xy - y*) = 12:5, find x: y

A:

Q: 3. Sx³dz

A: Let I=∫x3dx1+x2.

Q: of of and ду Find f(x,y) = Vx + 3y?

A:

Q: Calculate fx(l, 3) and /y(l, 3) for f (x, y) =

A: Given: fx,y=7x+y2

Q: Consider the two following graphs and answer the following questions. a) Are G and H isomorphic?…

A: The graphs given are as follows:

Q: Let h(y) = (2y – 3)4 Determine the derivative of h. h'(y) 8 (2y-3) 5 ✓ h is differentiable on 05…

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

A: Given,fXY(x,y)=x+y27 ; 0<x<2 , 3<y<5

Q: Prove that if x+y=%30 then y=-x

A: See the attachment

Q: Differentiate w.r.to "x" y = xsin-1x +x/(1-x3)

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Q: 6. y = V2x – 3x . Find y'" -

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Q: 6. The domain of y = v1 – x? is

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Q: Compute f 3 2 x-5x+6 dx.

A:

Q: Kindly exhibit that xzxx+yzxy=y2zyy if z=xy+yln(xy)

A: The given data is: z=xy+ylnxy To prove: xzxx+yzxy=y2zyy

Q: If f.(x, y) = 13x + 8y + 11, || f.(3, 2) = a. b. f„(5, 2)

A: Given, fx(x,y) = 13x + 8y + 11 a). fx(3,2) = 13*3 + 8*2 + 11 = 39+16+11 => fx(3,2) = 66

Q: Differentiate y = In x*V1-3x (2x-1)2 4 A. 4 | 1-3x 2x-1 4 4 1-3x 2х-1 4 C. X 1-3x 2x-1 4 D. +. 1-3x…

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Q: 28. f,(2,4) if f(x, y) = x* In y

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Q: az Find at (2, -2, 1) if x2 + y? + z2 = 6xz+ 6yz + 21 %3D 8. %3D %3D dy %3D 25 25 1.

A: Given,x2 + y2 + z2 = 6xz + 6yz + 21

Q: Find f,(2, 4) and f,(2, 4) for f(x, y) = x* + 4x?y³ + 8y*. 2.3 f-(2, 4) = f,(2, 4) =

A:

Q: ,2,,2 Suppose that f(x, y) = 10x²y² + 6x? + 2y? then find the discriminant of f.

A: We have to find the discriminant from the given function

Q: 4. f(r, y) = + y + xy,find fay and fyz

A: Solve the following