xy ,show that: x- y If z = = 0

Q: y= e fonksiyonunun d'y dy 11 + 27y = 27e dr 11z dr?

A:

Q: = Find fus fay, fyx and fy for f(x, y) = e*/y

A:

Q: Ex , Prx , fy, fyy, Pxy, fyx F(X, y) = %3D x +y

A: Given: f(x,y)=1x+y

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A:

Q: xbe inner froduct x+y Lx_y ?

A:

Q: Apply Uptimal obtain y, y₂₁ and y for the pr 3

A: given y'=t+2y h=0.1 and y0=1 to find the y1,y2,y3 proceed as follows Apply Runga Kutta 2 order…

Q: Given f(x, y) = x° + 2xy³ – 2y", find fz(x, y) = fy(x, y) =

A: Given  f(x, y) = x6 + 2xy3 - 2y5.

Q: d'y 2y If x + y = xy, show that dx2

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Q: Evaluate: xyze-(a+y+z) dxdydz 0.

A: The given problem is from the calculus and subcategory triple integration here in the given question…

Q: Suppose that f(z, y) = 10z²y² + 8z? + 2y? then find the discriminant of f.

A: We have to find the discriminant of the function of two variables fx, y. It is given that the…

Q: Let f (x, y) = 9e2xy what is fryx (x,y) =? %3D

A:

Q: et f(r, y) (-(4r + y)) Then %3D ardy

A: The given differential equation is: f(x,y)=-(4x+y)7

Q: Differentiate the function.

A: Consider the following equation: Gy=ln2y+15y2+1 Differentiate the above equation with respect to y:…

Q: f(x, y) = In(4x + 3y) Calcule

A:

Q: Find y" * y" at (1,1) of x'y =1

A: We have to find derivative

Q: TF x and y are orthon ormal rectors then Pind Value of Ilx+y12 - ||x-Y2

A:

Q: Verify that ƒxy = ƒyx, for ƒ(x, y) = xey.

A: Given function is fx,y=xey We have to verify fxy=fyx Solution: fxy means that first we find partial…

Q: If S(x, y)= x² +y , find f, and f, . %3D Vr

A: Fx is partial differentiation of F with respect to x.

Q: y = In /2x

A: The function is given by y = ln2x

Q: -3y(In x)' +3x* (In x) y' =0

A: First simplyfy the given differential equation.Then taking integral on both sides and solve it.

Q: im(z,v) →(0,0) F(x, y).

A:

Q: The R2 from regressing Y on X is the same as the R2 of regressing X on Y. True or false?

A: For a simple bivariate regression, the linear correlation coefficient and R-square will be the same…

Q: Find Sea)ax Jf(x)dx if = 56 foR X<to (x fok xZ6 flx): %3D

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Q: Let f(x, y) = (5x – y)*. Then %3D дхду Эхдудх dx² dy

A: Partial derivatives: It is a derivative of a function of two or more variables with respect to one…

Q: ed by F(x, y) = (-: %3D

A: The function given is , F→x,y=-x,y. Draw the table for the points plot on the graph for the vector…

Q: Let z = 3x*y, find Vz.

A:

Q: Consider the fiunction f(x,y) = x² + xy – 5x - y +1. Then:

A: f(x,y)=x2+xy-5x-y+1

Q: Calculate || xVy² + x²dA, Where R = {(x, y) /0 < y <land 0 < x < y}

A:

Q: Find dy/dr. y = esin 2x

A: We will use chain rule of differentiation to find the derivative.

Q: xy Let z . Then: 4x2 – 5y? | az dz ду

A:

Q: Evaluate dz dy dr. y +z

A: The given integral is ∫12∫x3∫0yyy+z dz dy dx . This is a triple integral. Triple integral is used to…

Q: If y = sec(x). prove that: y"+y = 2y

A:

Q: Let f(x, y) = x² + xy + y² where x = 3(t + s) and y = e2st, find . as

A: we have given f(x, y) where x and y are function of s and t.  We have to find the partial derivative…

Q: If f(x,v) = (y)²x ,Verify fy=fx ху

A: Given:fx,y=y2x Now, the value of fxy will be,fxy=∂2f∂y∂x=∂∂y∂f∂x=∂∂y∂y2x∂x Now, the value of ∂y2x∂x…

Q: or f(x, y) a + y? – xy +1 -

A: Consider the given function as fx,y=13x3+12y2-xy+1

Q: Find y' for 4x + 5y* – 1 = 132 at the point (2, – 1). | At (2, – 1), y' = Preview %3D

A: Given: 4x5+5y4-132 To find: y'  at  (2,-1)

Q: Given f(x, y) = x® + 3xy4 – 2y°, find f-(x, y) = fy(x, y) =

A: If f(x, y) is a function then, fx(x, y)  is differentiation of f with respect to x making y variable…

Q: Find fyry. f (x, y) = x°y® – 8a°y+x f yry ||

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Q: Sove the IVP y" + 2y' + y : if 0 4

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Q: find the me value of funchio fix.y) = Sn+ 1y %3D 2n+y32

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Q: Differentiate v1 +x² with respect to r.

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Q: ationalize the d V49

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Q: For x=In /t y=2, find y" when

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Q: Calculate az/ax, where xez + zeY = x + y.

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Q: Compute Δy/ Δx for the interval [2,4] where y = 5x−7.

A: ∆y∆x for function y=f(x) for the interval [a,b] = f(b)-f(a)b-a

Q: What is the degree of f(r, y) = 2y + Vr2 + y? ?

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Q: Consider f(x, y) = 57x2 +61ry+ 7y? f-(x, y) = %3D and fy(x, y) = %3D

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Q: f(z) =z? is discontinuous

A: f(z)= z2 is a polynomial function in z and polynomials are continuous everywhere.

Q: Find Vf(x, y) if f(x,y) = e** cos y ..... ...

A: