a. Find the linear approximation for the following function at the given point. b. Use part...
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) = 2 eat a = 0; f(0.03) a. L(x)= b. Using the linear approximation, f(0.03) (Type an integer or a decimal.) c. The percent error in...
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. Find the linear approximating polynomial for the following function centered at the given point a b. Find the quadratic approximating polynomial for the following function centered at the given point a c. Use the polynomials obtained in parts a, and b. to approximate the given quantity f(x) = 1x, a = 0; approximate 105 a. (x)=0 b.p2(x)=1 c. Using the linear approximating polynomial to estimate, 105 is approximately (Type an integer or a decimal.) Using the quadratic approximating polynomial...
a. Find the linear approximating polynomial for the following function centered at the given point a. b. Find the quadratic approximating polynomial for the following function centered at the given point a. c. Use the polynomials obtained in parts a. and b. to approximate the given quantity. 1 Ca= 1; approximate 1.09 a. Py(x) = 0 b. P2(x)=0 1 1. c. Using the linear approximating polynomial to estimate, 16a is approximately (Type an integer or a decimal.) Using the quadratic...
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 Japproximation - exact| c. Compute the percent error in the approximation, 100.- exact where the exact value is given by a calculator. f(x) = (729 + x) 9; a = 0; f(0.1) a. L(x)= b. Using the linear approximation, f(0.1) | (Round to the nearest hundredth as needed.) c....
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 -*;...
Find the linear approximation to the function f (,y) = 34+ 3xy at the point (2,y) = (3,-1). L 2,y) = (write the appropriate function of u and y). Use this linear approximation to estimate f (3.03, -1.02) Number (the numerical answer must be precise up to +0.001).
(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)
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) =
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. c. Compute the percent error in the approximation, 100•approximation−exact/exact, where the exact value is given by a calculator. f(x)=4e^x at a+0, f(0.02) a.L(x)=? b. Using linear approx, f(0.02)=? c. The % error in the approximation is=?