Find the linear approximation to the function f (,y) = 34+ 3xy at the point (2,y)...
Find the linear approximation to the function | [z, y, z) = ze ºyz + 3x at the point (2, 4, z) = (1, -3,0) I (2,4.2) = write the appropriate function of 2.yand :). OS Use this linear approximation to estimate (0.95.3.1,0.05) Number the numerical answer must be precise up to 2001
2. Suppose the linear approximation of a differentiable function f(x, y, z) at the point (1,2,3) is given by L(x, y, z) = 17+ 6(x – 1) – 4(y – 2) + 5(2 – 3). Suppose furthermore that x, y and z are functions of (s, t), with (x(0,0), y(0,0), z(0,0)) = (1, 2, 3), and the differentials computed at (s, t) = (0,0) are given by dx = 7ds + 10dt, dy = 4ds – 3dt, dz = 2ds...
a. Find the linear approximation for the following function at the given point. b. Use part (a) to estimate the given function value. f(x,y) = 3x - 2y + 8xy; (3,5); estimate f(2.9,5.02) a. L(x,y)= b. L(2.9,5.02) = (Type an integer or a decimal.)
Find the linear approximation of the function below at the indicated point. f(x,y) = In(x - 4y) at (9,2) f(x, y) ≈ _______ Use the approximation to find (8.91, 2.04), (Round your answer to three decimal places.) f(8.91, 2.04) ≈ _______
Use a two-dimensional Taylor series to find a linear approximation for the function f (2,y) = sin (42) +y about the point (2,2).
(1 point) Find the linearization of the function f(x,y) = 72 - 4x² – 2y at the point (3, 4). L(x,y) Use the linear approximation to estimate the value of f(2.9, 4.1) f(2.9, 4.1)
Let f(x,y)=x2y2+1.f(x,y)=x2y2+1. Use the Linear Approximation at an appropriate point (a,b)(a,b) to estimate f(5.02,1.91).f(5.02,1.91). (Use decimal notation. Give your answer to two decimal places.) f(5.02,1.91)≈ Let f(x, y) = . Use the Linear Approximation at an appropriate point (a, b) to estimate f(5.02, 1.91). (Use decimal notation. Give your answer to two decimal places.) f(5.02, 1.91) - 4.59
7. Find the linear approximation of f(x,y)=-x’ +2y’ at (3,-1) and use this approximation to estimate f(3.1.-1.04). S (3,-1) = (3.-1) = ,(3,-1) = L(x, y)= L(3.1, -1.04) =
write the equation of the line that represents the linear approximation to the following function at the given point a. answer a, b and c. a. Write the equation of the line that represents the linear approximation to the following function at the given point a b. Use the linear approximation to estimate the given quantity approximation - exact C. Compute the percent error in the approximation, 100. where the exact value is given by a calculator exact f(x) =...
a. Write the equation of the line that represents the linear approximation to the following function at the given point a. a. Write the equation of the line that represents the linear approximation to the following function at the given point a. b. Use the linear approximation to estimate the given quantity. approximation - exact| c. Compute the percent error in the approximation, 100. where the exact value is given by a calculator. |exact -0.04 f(x) = 3 e -*;...