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13 Nov 2019
Task 1 Calculate the first three approximation for a root of f(x)s Ï2-7, use xo-3 as the first approximation. Find the equation of the tangent line to f(x) x2-7 at xo 3, Find where the tangent line intersects the x-axis. This is x1 Give your answer to 5 decimal places. Compute the successive approximations: Repeat the process using x, to find equation of the tangent line atx x Find where the this new tangent line intersects the x-axis (again 5 decimal places). This is your x2 Use the formula (1): xn+1n-(xn)/f'n) to compute x3 to 5 decimal places. Xy- Check how this result is differ from the value given by your calculator for Error-lv7-x3 Calculate the percentage error error * 100%
Task 1 Calculate the first three approximation for a root of f(x)s Ï2-7, use xo-3 as the first approximation. Find the equation of the tangent line to f(x) x2-7 at xo 3, Find where the tangent line intersects the x-axis. This is x1 Give your answer to 5 decimal places. Compute the successive approximations: Repeat the process using x, to find equation of the tangent line atx x Find where the this new tangent line intersects the x-axis (again 5 decimal places). This is your x2 Use the formula (1): xn+1n-(xn)/f'n) to compute x3 to 5 decimal places. Xy- Check how this result is differ from the value given by your calculator for Error-lv7-x3 Calculate the percentage error error * 100%
Lelia LubowitzLv2
16 Oct 2019