F(x,y, z) = 5x² + 2y² + 4xy + xz

Q: {3x+y=-3 2x+3y=5 (X,y) =

A: Given: 3x+y=-32x+3y=5 To Find: The value of x,y.

Q: f(x, y) = 2x²y + y², A = 2âp + 4â₂, and B = âp + 3â + 2â₂ P

A:

Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3…

A:

Q: (2x)(x-y+5)(5y)

A: Firstly, we multiply 2x by each term of x-y+5

Q: xe lF Sx2z+y3-Xリ2う=0,

A: Consider the following equation: 3x2z+y3-xyz3=0 Differentiate the above equation with respect to x…

Q: Find f-l (n) for 8ln) = n2-6n and its %3D domarn

A:

Q: Find f. r0 - VD + Sx), 1) -9 X) =

A:

Q: (a1x + bịy + c1)dx + (a2x + b2y + c2)dy = 0

A: We will find out the required general solution.

Q: y = (1– 2x) ;y" ¡y"

A:

Q: f(x, y) = 8x3 6x2y3 + 7y4 -

A: Given data:     The given function is: f(x,y)=8x3-6x2y3+7y4.   The expression for the partial…

Q: Differentiate in two ways: y = (x + ¹)(x - ² + 1)

A: We know that the product rules of the derivative d/dx(uv)=u*(dv)/(dx)+v*(du)/(dx)

Q: Differentiate y = 21/2 4 - x (4 – x³)'"2 -

A:

Q: Find ƒx and ƒy when ƒ(x, y) = y8 + 2x6 + 2xy.

A: Given f(x,y)=y8+2x6+2xy For finding fx differentiate f(x,y) with respect to x fy differentiate…

Q: /6х — 22

A: We will evaluate the given integral as shown below by using trigonometric substitution

Q: (x+1) dx V 8+2x-X²

A: ∫x+18+2x-x2dx

Q: √(x² + (y—a)²) = b (y + a) 2

A:

Q: Eliminate the arbitrary constant. y=Ax² + Bx³ 7xy "-x²y + 15y = 0 A (В) B (C) D x²y-7xy "+ 15y = 0…

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Q: (r2+2rt-4t2)dr-(r2-8rt-4t2)dt=0

A:

Q: Find f(3, - 4) if f(x.y) = 4x² + 3xy– 6y +6x- 3y – 7. frox (3, – 4) =

A:

Q: Let f(x,y) = 3x + 3xy, find f(0, - 3), f( − 3,2), and f(3,2). f(0, -3)= (Simplify your answer.)

A: f(0,−3)=1

Q: The average value of f(x, y) over the rectangle R = {(x, y) a s*S b, csysd} is %3D 1 fave (6- a)(d-…

A: The Formula for the average value of a function over an region is given. So use it we have

Q: R= {(x,y) | X is the sister of y}

A: This is question of algebra Here set is given We have to find components of it Further calculation…

Q: Determine fy (y3 +3y) dy 3 4. 1Y +3y+ C 4 11 11 3 11 y +y +C 11 11 .4 3 3 3. IL D Boş bırak 2.

A:

Q: (5, 2)

A:

Q: 3y +5 (5y-7)2 dy

A: We can find the integration as below.

Q: y(4) + 3y" - 4y = 0

A:

Q: )

A:

Q: f(x, y) = √4x² + 2y² fz(-4,-5) =

A: To solve the following problem

Q: Q: (2x+y)(x+y) ах Find -?

A: Given query is to find indicated partial derivative.