Use Linear Approximation to estimate the change, Az, in z = 8x2 + y? as (x, y) changes from (2, 3) to (2.03, 3.06). 1. Az a 1.62 2. Az a 1.32 3. Az 2 1.72

Q: Use linearization to determine an approximation of V1002.

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Q: Find the orthogonal trajectories of the family of curves y=Ce* +10

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Q: Use the linear approximation to f (x, y) = √x/y at (9, 4) to estimate √9.1/3.9.

A: f(x,y)=xy at (9,4) to estimate 9.13.9

Q: Let y = 2x + 3x + 2. If Ax = 0.4 at x = 1, use linear approximation to estimate Ay Ay 2 Submit…

A: We have to find change in y

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A: Given,f(x,y) = x2y2+1To estimate,f(4.02,0.93) using the LinearApproximation at an appropriate point…

Q: Let y Ay - 5x² + 8x + 4. If Ax = 0.4 at x = 5, use linear approximation to estimate Ay I Submit…

A: We know that ∆y=f(x+∆x)-f(x). So,             ∆y=f(x+∆x)-f(x)      =f(5+0.4)-f(5)      =5·…

Q: QO use best linear approximation to (F(Xiy) = ²³ to estimate the value of f at the point (0.0),…

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Q: the linearization of (fi,f2) = (x²y+ 3xy², 3x³ + 2xy) at (1,0) to approximate the value at…

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Q: F(X, y,z) = 2x -y? +z?

A: F(x,y,z)= 2x-y^2-z^2 at point (4,-4,2) df/dx= 2 df/dy=-2y df/dz= -2z

Q: Use the Linear Approximation to f(x, y) = x/y at (9, 4) to estimate 9.1/3.9.

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Q: The equation of line normal to f(x) = (x +4)^(1/2) at Q (0,3) is

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Q: Find the linear approximation to the equation f(, y) = 3. xy at the point (6, 4, 6), and use it to…

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Q: Find the linear approximation to the equation f(x, y) = 2, at the point (4,2,4), and use it to 2 %3D…

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Q: Verify the given linear approximation at a=0 . Thendetermine the values of  x for which the linear…

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Q: Use an appropriate local linear approximation to estimate the value of the given quantity. (3.97)3

A: Linear approximation formula f(x)= f(a)+(x-a)f'(a)

Q: find the orthogonal trajection of the family of curves x2+y2=a2

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Q: With the use of: local linear approximation Estimate: In (V0.99)

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Q: Find the orthogonal trajectories of the family of curves x when 'a' is the parameter. +y Da

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Q: Find the linearization of the function z = x/j at the point (3, 64). L(x,y)

A: According to the Bartleby guideline only one question can be solved at one time, post the remaining…

Q: Use a local linear approximation to estimate the following y-values 1. f(1.2) 2. f(-2.9)

A: Given: The table as To find: The values of following using local linear approximation, f1.2 f-2.9

Q: Find the linearization of y=√x  at a=49. Then use your linearization to approximate √56. Show work

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Q: Let A = {(x,y) = RXR; 0<max{|x-3], ly- 2|}<1}, then: *

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Q: Find the linear approximation to the equation f(x, y) = 2, xy at the point (2,8,4), and use it to 4…

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Q: Use the linearization L(3,-2) (x, y) of f(x, y) = -x²y-xy² near the point (3, -2) to approximate the…

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Q: Find the orthogonal trajectories for the families of curves y+x^2 = w where w is a parameter

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Q: Using the linear approximation of f (x, y) near (x, y) = (1, 0) tells us that f (0.98, 0.05) is…

A: The linear approximation of a function f(x, y) at (a, b) is L(x, y) = f(a, b) + fx(a, b)(x − a) +…

Q: Use least-squares regression to fit a straight line y = f(x) = Ax+B  to:   xi -8 -3 0 4 6 yi 7 4 2…

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Q: 18. Use the Linear Approximation to f(x, y) = /x/y at (9,4) to estimate 19.1/3.9.

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Q: Eliminate the arbitrary constants a. x = -In t, y = at + bt?

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Q: 5) Find the linear approximation to estimate V9.247. Compare this to the true value and determine if…

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Q: The orthogonal trajectories of the families of curve 3x? + y? = a? is

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Q: y6 = C (x² + 1) %3D

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Q: Find the orthogonal trajection of the family of curves x2+y2=a2

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Q: V26.9

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Q: (4) Find the orthogonal trajectories of the family of curves z +y 2C?, where C being %3D a…

A: Note:-    as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Find the linear approximation to h(x) = Vx at x = 2. Use the linear approximation to approximate the…

A: Given: hx=x4 To approximate the values of 34 and 44 using linear approximation of hx. Note: the…

Q: (4) Find the orthogonal trajectories of the family of curves z +y = 20C?, where C being %3D a…

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Q: The equation of the normal line to the curve x^2 + y^2 - 6x + 10y + 29 = 0 at (2, -3) is 2x + y = c.…

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Q: By utilizing Gradient Descent where initial x1=x2=Dx3%3D0, What is the approximated min. point of…

A: To find - By utilizing Gradient Descent where initial x1 = x2 = x3 = 0, What is the approximated…

Q: 2. Use a linear approximation to estimate V1.03. 3 If f and a are the functions whose gronhs

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Q: 1. Find the linear approximation Using this linear approximation, 9.1. of f(x) x^(1/2) at x = 9.…

A: The linear approximation: L(x) for a function f(x) at x=a is defined using the formula:…

Q: 4. Find the orthogonal trajectories of the family of curves y= Ce“ +10

A: Given that, Family of curves is following, y = Ce2x + 10…

Q: Use a graphing calculator or computer to verify the given linear approximation at a = 0. Then…

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Q: 8) Confirm that the stated formula is the linear approximation at x =0 %3D (1+x) =1+15x

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Q: Use an appropriate local linear approximation to estimate the value of the given quantity. V35.63 2

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Q: Let y = 5x² + 4x + 4. If Ax = 0.3 at x = 4, use linear approximation to estimate Ay Ay ~ Submit…

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Q: Find a parameterization for a line passing through the points (0, 0) and (2, 8) O x=t, y = 4t Ox=t,…

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Q: Which best represents the Slope-field and streamlines for dy = 3 – y? dt - 0.2 04 06 08 1.2 3.5 3 25…

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Q: Use the linear approximation to ƒ(x, y) 12x² at (3, 9) to estimate f(3.1, 8.8). y2+7 (Use decimal…

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