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.
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write the equation of the line that represents the linear approximation to the following function at...
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. 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...
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 -*;...
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=?
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)=4eat a0; (0.03)
1) 2) 3) Use linear approximation, i.e. the tangent line, to approximate 15.22 as follows: Let f(x) = z² and find the equation of the tangent line to f(x) at x = 15. Using this, find your approximation for 15.22 Given the function below f(x) = -180x3 + 396 1. Answer in mx + b form. Find the equation of the tangent line to the graph of the function at x = L(2) Use the tangent line to approximate f(1.1)....
Given the function below f(x) = 3 – 45x3 + 72 Find the equation of the tangent line to the graph of the function at x = 1. Answer in mx + b form. L(x) Use the tangent line to approximate f(1.1). L(1.1) Compute the actual value of f(1.1). What is the error between the function value and the linear approximation? Answer as a positive value only. error (Approximate to at least 5 decimal places.)
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.)
Please write the steps, thanks. 13. a. Approximate the given quantity using a Taylor polynomial with n b. Compute the absolute error in the approximation assuming the exact value is given by a calculator 3. 266 a. P3 (266) (Do not round until the final answer. Then round to five decimal places as needed.) b. absolute error se scientific notation. Use the multiplication symbol in the math palette as needed. Do not round until the final answer. Then round to...
1) Write a differential equation describing this system. This means find the equation of the line in the graph. df ar= 1x-80 2) Find the general solution to this differential equation. Find the function f(x) whose derivative is the equation of the line graphed. The solution is: f(r) -.5x 2-80x 3) Now given that function f(x) includes the point (0, 100) find the exact solution of the differential equation found in 1). In addition to general solution you will have...