Find the linear approximation to the equation xy f(x, y) 2. at the point (4,6,4), and use it to approximate f(4.25, 6.26) f(4.25, 6.26) =

Q: Find the linear approximation to the equation f(x, y) = 5, xy at the point (2,8,10), and use it to 4…

A:

Q: On what interval is the curve t2 X. dt y% = Jo t2 + t +2 concave downward?

A:

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: Find the local linear approximation of the function f(x) = v25 + x at Xo = 0 and use it to…

A: According to the given information, it is required to calculate the local linear approximation of…

Q: Use the linear approximation to f(x,y) = x+6 at (4, 3) to estimate 10.1 y+2 4.9 10.1 V 4.9 help…

A:

Q: Given f(x)= 1+x. a) Find the linear approximation to f (x) at x=0. b) Use the linear approximation…

A: Since you have posted multiple subparts question in this question so I have solved first three…

Q: Find the linear approximation of the function f (x, y, z) (3, 2, 6) and use it to approximate the…

A: Given that  f(x,y,z)=√(x^2+y^2+z^2) To find the linear approximation of f(x,y,z) and also find the…

Q: Find the linear approximation to the equation f(x, y) = 3, zy at the point (6,2,6), and use it to…

A:

Q: Find the linear approximation to the equation f(х, у) — 5. xy at the point (4,6,10), and use it 6 to…

A:

Q: Let f(x, y) = x2 /(y2 + 1). Use the Linear Approximation at an appropriate point (a, b) to estimate…

A:

Q: Find a linear approximation to the function f(x,y) at the indicated point. 2x y f(x,y) = at (1,2) 1…

A:

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

A:

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

A:

Q: 3. Determine the linear approximation for Vx at x = 5. Use the linear approximation to approximate…

A:

Q: Find the linearization L(x, y) of the function f(x, y) at P0 Then find an upper bound for the…

A: We need to determine the linearization of the function: f(x, y)=xy2+ycosx-1 at P01, 2 over R:…

Q: Find the linearization of the function f(x, y) 155 – 2x2 – 5y² at the point (5, 4). L(x, y) = Use…

A: Given:      f(x,y) = √ (155 - 2x2 - 5y2 )     Point : ( 5 , 4 )  Now     Linear approximation f (…

Q: Let f(x)= V1+x. (a) Find the linear approximation, L(x), of f(x) at x=15 (b) Use (a) to approximate…

A: Given that

Q: Let f(x, y) = Use the Linear Approximation at an appropriate point (a, b) to estimate f(4.04, 0.94).…

A: Given that  f(x,y)=x^2/(y^2+1) From the linear approximation to find the f(4.04,0.94)

Q: Find the linear approximation to the equation f(x, y) = 3, xy at the point (8, 4, 6), and use it to…

A: To find the linear approximation to the equation at point (8,4) Given that f(x,y)=3√(xy)/8

Q: Find f(x) if y = f(x) satisfies %3D dy 42ya3 %3D dæ and the y-intercept of the curve y = f(x) is 4.…

A: Given that, y = f(x) and   dydx=42yx13 and y-intercept of the curve y = f(x) is 4. we have to find…

Q: Use the linear approximation of f(x, y) = eX +y_ at (1, 2) to estimate f(1.01, 1.98). (Round your…

A:

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

A: brief explanation is given below.

Q: Find the linear approximation of the function below at the indicated point. f(x, y) = V 17 – x2 –…

A: Givenf(x,y)=17-x2-4y2  Point (2,1)

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

A:

Q: Find the linear approximation of the function f(x) = v9+x at xo = 0, and use it to approximate v8.9…

A:

Q: For the linear function y = f(x) = 5x+8:  Find df^−1/dy at y = f(10). (f^−1)'(f(10))=

A: Giveny = f(x) = 5x+8Replace x=f-1(y)Nowf(f-1(y))=5f-1(y)+8y-8=5f-1(y)f-1(y)=y-85

Q: YouTrylt 2 Find the linear approximation of the function f(x,y) =In(x- 3y) (7,2) at and use it to…

A: Please rate and feel free to ask any query about any part of the question.  Thanks

Q: Find a gradient of the equation: F(x, y) = y + x³ – ay? + 3 %3D VF =?

A:

Q: Find a linear approximation to the function f(x,y) at the indicated point. 2x°y f(x,y) = at (5,1) 1…

A: Linear approximation to the function f(x ,y) at (a, b) :       L(x ,y) = f(a ,b) +(x-a) f x (a, b) +…

Q: Fínd a differentiable curve y(x) that minimizes J = +

A: The objective is to find the differentiable curve yx that minimizes J=∫01y'x2+c2yx2dx if y0=0 and…

Q: Find the linearization of the function f(x, y) = V61 – 3x2 - 1y? at the point (4, 2). %3D L(x, y) =

A:

Q: Find the linear approximation to the equation f(x, y) xy at the point (6,2,6), and use it to 3 = 3…

A:

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

A:

Q: of find 4x + 9y of and dy For the function f(x,y) = %3D of dx ||

A: We can answer this question as below

Q: Use the Chain Rule to calculate dt (r(e)). f(x, y) = 3x – 2y, r(t) = (t°, t°), t = 2 (2, 8), t = 2

A:

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

A:

Q: Use Linear Approximation to estimate the change, Az, in z = 8x2 + y? as (x, y) changes from (2, 3)…

A:

Q: Find the differential of f(x,y)=sqrt(x^2+y^3) at the point (3,2). df = ? Then use the differential…

A:

Q: Use the Linear Approximation off (x, y) = ex2+Y at (0, 0) to estimate f (0.01, -0.02). Compare with…

A: By the method of linear approximation, if we are given a differentiable function f in two variables,…

Q: Find the linear approximation to f(x, y) f(6.11, 4.17) f(6.11, 4.17) = 5, xy at the point (6, 4,…

A:

Q: Find the linear approximation of y = V1+ x at x = 0 and use it to approximate V1.05 7.

A:

Q: Find the local linear approximation of the function f(x) = v8 + x at xo = 8, and use it to…

A:

Q: Find the linear approximation at x=0 to √17−x. Write your answer in the form y=Ax+B.

A: we have f(x)=17-xDifferentiating both side w.r.t "x"f'(x)=-1217-x-12f'(x)=-1217-xput x=0f'(0)=-1217…

Q: ,use the linearity of L   determine L[f]. Q. f(t)=sinh bt, where b is constant.

A: Given, f(t)=sinh(bt), where b is constant To determine L[f].

Q: f(x, y) = Vx + y³. Estimate f(7.96, 2.01) by finding the linear approximation of f(x, y) at (8, 2).

A: we have to find the linear approximation of f(x,y) at (8,2)  and then estimate f(7.96,2.01) the…

Q: Find the linear approximation of the function f(x, y, z) = Vx2 + y? + z? at (2, 9, 6) and use it to…

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

Q: Find the linear approximation to the equation f(x, y) = 2, at the point (4,6,4), and use it to %3D…

A:

Q: Find the local linear approximation of the function f(x) = v6 + x at xo = 19, and use it to…

A:

Q: Express in form y=f(x) by eleminating the parameter x = e−2t , y = 6e4t

A: Here, x=e-2t and y=6e4t

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

A: