f(x, y) = e* +xIny+ylnx

Q: xUx+yUy=U , U(x,1)=2+e^-x

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Q: X, X2 ixd.u Co1) yi= Xi+X2 ェニメルナメ」 %3D d distribution

A: first consider the joint density!!

Q: Find both first partial derivatives. h(x, y) = e-(x10 + y10) h,(x, y) = hy(x, y) =

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Q: Find the linearization of x+1 f(x) = 2 – dt 1 + t“ at x = 1.

A: Given function is

Q: Find both first partial derivatives. h(x, y) = e-(x9 + y9) h,(x, y) = h,(x, v) =

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Q: Find the first partial derivatives. (x, y) = xFye-5y ,(X, Y) = ,(x, V) =

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Q: Find both first partial derivatives. f(x, y) = √ (x2 + y2)

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Q: yUx-xUy=U , U(x,1)=2+e^-x

A: Given partial differential equation is, yux-xuy=u      .....1. With initial condition ux,1=2+e-x.…

Q: Find the first partial derivatives of f(x, y) = 4x cos(x2 + y?). %3D

A: Given fx,y=4xcosx2+y2

Q: The partial derivative fx(-1,0) of ƒ(x, y) = xe³ + x² + 1 is equal to −1. Select one: True False

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Q: Find the first partial derivatives of the function f(x, y, z) = xz – 5x²y³z*.

A: Find the first partial derivative of function f(x,y,z)

Q: Vx2 +1 – Vx² – 1 y = Vx² +1+ vx² – 1 2.x3 dy = 2x - d.x - - show that Vx4 – 1 -

A: Given: y=x2+1-x2-1x2+1+x2-1      ......(1) To Prove:  dydx=2x-2x3x4-1      ......(2)

Q: Differentiate implicitly to find the first partial derivatives of z. 7x² + 3y² + 11z² = 36 əz əx əz…

A: Differentiate implicitly to find the first partial derivatives of z.   7x ^ 2 + 3y ^ 2 + 11z ^ 2 =…

Q: Find the partial derivative. z = (2² + 2x – 6y)"

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Q: Integrate f(x, y) = y(x² + y³) 3 over the domain x² + y° 0.

A: Given function is fx,y=yx2+y23 and domain is x2+y2≤4 with y≥0 We have to integrate fx,y=yx2+y23 over…

Q: Find the partial derivative. = (a² + 4x – 2y)° - dz II

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Q: Let f (x, y, z) = ln(x2 + z) + y2 exz. Find fzyx

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Q: Find all second order partial derivatives of f(x, y) = 6x²e3y

A: Consider the function fx,y=6x2e3y

Q: A consumer has utility function xy u(x, y) = x+y

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Q: Find the first partial derivatives of the function. f(x, y, z) = x7yz2+ 4yz

A: From the given problem:   fx,y,z=x7yz2+4yz   So,   fxx,y,z=∂f∂x=∂ ∂ xx7yz2+4yz=∂ ∂ xx7yz2+∂ ∂…

Q: x² + y² = (2x² + 2y² – x)', (0,¿), (cardioid) -

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Q: Find the first partial derivatives of the funct f(x, y) = x8 + 7xy5 fx(x, y) =

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Q: Find both first partial derivatives. : = 6y²/x az ? Əx az ? ду II II

A: We have to find the partial derivative

Q: (b) Find all first and second partial derivatives of z = x² In(x² + xy).

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Find all first partial derivatives. f(x, y) = 4x2 − 2xy + y2

A: Consider the given function  fx,y=4x2-2xy+y2

Q: What is the antiderative of xysin((x^2)y)?

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Q: Find both first partial derivative h(x, y) = e-(xª + y^) hx(x, y) = hy(x, y)

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Q: Verify Young's Theorem f(x,y) = e(2x+y) In(xy)

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Q: What can you conclude about a real function f(x,y) that has continuous partial derivatives at a…

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Q: Find all first partial derivatives. z = ln(x2 + y2 + 1)

A: Given The equation is  z = ln(x2 + y2 + 1) .

Q: Find the first partial derivatives of the function. x5 - y5 x° + y f(x, у)

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Q: hich vect וdtiolו y and 2? 1 -2 y = 1 -6 x = 2 8 -1 2 -1 5 2 -3 [ 2 -1

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Q: At time 0, M is deposited into Fund X, which accumulates at a force of interest δ# = 0.006t*. At…

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Q: Find the four second partial derivatives. z = 6x2 + y5 a2z дхду дудх ду?

A: We will find all the asked second order partial derivatives as following.

Q: 2 f(x, y) = x² + 3xy

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Q: How are the partial derivatives ∂ƒ/∂x and ∂ƒ/∂y of a function ƒ(x, y) defined? How are they…

A: Consider the provided information, How are the partial derivatives ∂f∂x and ∂f∂y of a function fx,y.…

Q: 5. Find the second partial derivatives of f(x, y) = x²y³ + 3y?

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Q: Find the partial derivative of u = x^2 + y^2 + z^2 - 4xyz

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Q: 3. Find general Golution y" + y= Secx

A: Given that, find the general solution y''+y=sec3x (D2 +1)y=sec3x

Q: Find both first partial derivatives. z = x2e2y

A: Given function is z=x2e2y. Partial derivative means derivative of function with respect to one…

Q: x2 - y2 + 2Cx = 0

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Q: (b). Examine the behavior of e*+iy as x → -.

A: Euler's formula states that for any real number x  Any complex number z = x + iy,  can be written…

Q: Find the partial derivative. 2 = (r² + 5z – 6y)“ az ||

A: The given function is: z=x2+5x-6y4

Q: d2x/dt2 + 4 dx/dt + 3x = 2 x(0) = x’(0) = 0

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find both first partial derivatives. h(x, y) = e-(x* + y4) h,(x, y) = h,(x, y) =

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Q: ntegrais. I, da, D= {(x.y) 0sxs20sys2% dA, D = x +2 [['e"d4, D={(x,y)| 0s ys 4,0sx<y}

A: Double integration