For a functionf: R R, it is known that f(2,3) = 4, f-(2, 3) = -1, and %3D %3D fu(2,3) 1. Then, the best possible approximation for L (z.u) dz dy is %3D

Q: 'y' and evaluate each at the given point. ху f(x, y) = - (2, -2) %3D x - y f,(x, y) = %3D ,(x, y) =…

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Q: Let F(u, v) be a function of two variables. Find a formula for f′(x) when             (a) f(x) =…

A: Given fx=F4x-4hence u=4x , v=4f'x=∂F∂u.∂u∂x+∂F∂v.∂v∂xBy chain rule      =∂F∂u.∂∂x4x+∂F∂u.∂∂x4…

Q: what is a function that takes the same value as im(z) on  γ(0;1)

A: We are to find out the function that takes the same value as im(z) on γ(0;1)   There are many…

Q: The volume V and surface area of a sphere [Figure 6(A)] are expressed in terms of radius r by V(r) =…

A: GivenVolume , V = 11πr3Surface Area , S = 41πr2As V = 11πr3r3 = V11π⇒r = V11π13 = r(V)Now, Surface ,…

Q: If f(x, y) = %3D

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Q: Find the root of the function fx) = x³ - x - 1 using secant method with Xo = 0 and x¡=1 %3D a.…

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Q: Use the table to determine Df(g(x)) at x = 3. |1 2 f(x) 1 3 4 3 2 f(x) 3 -5 1 4 g(x) 2 4. 4 1 3…

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Q: a) Find a function ƒ such that f'(x) = 4x² – 2x – 1 and f (-1) = 2 %3D b) Find the function g such…

A: Given: f'x=4x2-2x-1, f-1=2 for finding functionfx, we integrate f'x so,…

Q: Given the function f(x, y) = x²y4 - In (xy), find fx(1, 1) and fy(1, 1)

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(6) = 15, f(15) = 2, f'(15) = 7, f'(6) =…

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Q: curier series representation of the periodic function below if c = 4.4 and d = 16.3. Then, find the…

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Q: Let f(x) = x – 5, g(x) = /x , h(x) = x°, and j(x) = 3x. Express each of the functions given below as…

A: The solution of above question is written in below steps.

Q: 1 If (x, y)= find f, and f,. Vx? x²+y²

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Q: Find y as a function of a if 2'y" + 6zy/ - 36y = 0, %3D y(1) = 1, y(1) = 5. %3D y =

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Q: Let X1,..., Xn be i.i.d. Gamma(a, B) with a > 0 and B > 0. Find the MMES of a and В.

A: Let x1, ..., xn be the i.i.d Gamma(α, β) ;α>0, β>0. Find the Method of Moment Estimator of α…

Q: Given the equation y In (x? + y² + 4) = 4, evaluate dy Assume that the equation implicitly defines y…

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Q: Compute the following values for the given function. f(x, y) = 3xye(x² + y²) f(0, 0) = f(0, 1) =…

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Q: Determine which of the following pairs of functions are linearly independent. NO ANSWER + 1. f(x) =…

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

Q: The Range of y = [2x + 1] is Z, TO F

A: As given function is Greatest Integer Function and we Know that greatest integer function is…

Q: Determine the linear approximation of f(x) = at z = 1. O a. y= 9x +8 O b. y=- 9 x-8 O c.y = 9x - 8 O…

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Q: The gradient of f(x, y) = xy at (x, y) = ( – 3, – 2) is %3D

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Q: Find the derivative of the dot product (u(t) • v(t)) if u(t) and v(t) equal the following (see image…

A: Given vectors are we are to find the derivative of u(t).v(t)

Q: Find f, (8,2) if f(x.y) = e* - 5y.

A: We can find the answer as below

Q: Find R of the function Y = f(x) = vx %3D

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Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = e-xyz

A: Given fx,y,z=e-xyz Partial derivative means differentiating with respect to one variable keeoing…

Q: Differentiate the following functions: Chain Rule

A: NOTE: Refresh your page if you can't see any equations. . take derivative apply chain rule

Q: If fx(x)= 1/(1+x²), and fy(y)= 1/(1+y"), X & Y are independent. Find fzw(z,w), if Z-6,5 XY and…

A: Given: fxx=11+x2 fy(y)=11+y2 Determine ∂(z,w)∂(x,y)…