Consider the fundion f(x)= x ln (x) Tn be thenth degree Taylor approximation of f(2) aboutx = \ Fina T₁, T2, T3 Let estimate of f(2) T3 is an over/under? R.

Q: Find y(0.2) for y"=xz²-y², xo=0,yo-1,20-0, with step length 0.2 using Runge-Kutta 2 method (2nd…

A: To find- Find y0.2 for y'' = xz2 - y2, x0 = 0, y0 = 1, z0 = 0, with step length 0.2 using…

Q: Suppose g(x,y)=x^3−12xy+6y^2 In each case give all three coordinates of each point: (a,b,c). 1.…

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Q: what is f'of x

A: Find f’(x).

Q: Prove tht the fallowing ralt U(1-k)-2U(t) + U(t + k) U" (t) =- with an enor of ortler k?, which is…

A: The objective is to prove the central difference approximation to the second derivative of Ut…

Q: Find the local maxima and local minima and saddle points of a function  f(x,y) f(x,y)=x^3-3xy^2

A: To find: Find the local maxima and local minima and saddle points of a function  f(x,y)

Q: Q3: Find gradient of the following function at given point 2) g(x, y) = y – x². (-1,0)

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Q: The second partial derivative 2) {(**3)= e In y ė In g %3D 2, 2 In -a)+(9-b)

A: We have to find the second partial derivative of the given functions.please see the explanation…

Q: Find f. f'(t) = 8 cos t + sec²t, -π/2 < t < π/2, f(π/3) = 2

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Q: 1. f(r +h)-f(r) Using f'(r) = lim %3D Find the derivative of f(r) = V3x- 4. %3D

A: To find the derivative of f(x)

Q: y The function f(x, y)= (2x* + y* )exp + xy' is homogenous in x and y of degree 2x

A: Follow the procedure given below.

Q: 4/(A)Find the derivative of f(x, y) = xe + cosxy at the point (2,0) in the direction. дz (B)If Z =…

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Q: If f =x-e" and F=x'yi-2y'zj + xy'z'k, find: div(F x grad(yf )) at (4,1,-2)

A: The function                     Then, we have to find

Q: Differentiate R(t) = (41 + e)(4 - Vi). %3D Answer: R' (t) =…

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Q: Check whether the given function is satisfying the Fubini’s theorem about mixed partial derivative…

A: We have to check whether the function fx, y=3x2sin4xy satisfies the Fubini's theorem about mixed…

Q: Evaluate Exact error for Py (Y2) estimating f (Yz) where flx)= et, of degrée 4 atx=1) for fx)=ex…

A: In this question, we find the exact error in P4(1/2) here given that f(x)=ex and x=1 P4(x) is…

Q: Let f(x) = 6 – x j'(z) = Preview

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Q: 1. If x'y-xy'=2 find y and y" at x=1

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

Q: Find all the first and second order derivatives of the function f(x, y) = x³ ln(y) + xy + x³y² + 4x…

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Q: [-4,0], the graph of f'(x)is a semicircle of radius 2 with minimum at (-2,0). [0, 0], f'(x) 2 – x.…

A: to find the inflection point we will see where the graph is changing its sign from increasing to…

Q: Let f(x, y) = 2x^3+5y. Find the linear approximation of f(x, y) near (1,5), and use it to estimate…

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Q: function of de -euler's theor

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Q: The second order partial derivative of f with respect to z (mean fz) where f(x, y, z) = x'0 sin(3y +…

A: Given: fx,y,z=x10 sin3y+10z To determine: fzz

Q: e function f m (0,0) to

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Q: pont Let f(x) = 2x' + 1. a) Find f(x + h): -1 b) Find f(x + h)– f(x): c) Find (x+h)ー (x) d) Find…

A: a)   f(x)= 2x3+1f(x+h)= 2(x+h)3+1                         =2(x3+3x2h+3xh2+h3)+1…

Q: (a) Compute P[(X = (1/2)]

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