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Calculate two iterations of Newton's Method for the function using the given initial guess. (Round your answers to four decimal places.) f(x)=x²-5, x₁ = 2 n 1 N f(x) F"(x) F(x₂) F"(x) xa P(x) F'(x)

Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your answers to four decimal places.) f(x)= tan x, x₁ = 0.04 n 1 2 xn 0.04 f(x) F"(x₂) 1(x) F(X) *n f(x) F'(x)

Usehen's Method to approximate the sers() of the function Continue the Berations until two successive approximatione differ by less than 0,001. Then find the re(s) to three decimal places using a graphing utility and compare the rends 1²²-1 Newton's method Graphing t 2.

Use Teton's Hethod to appramate the zero(s) of the function. Continue the erations until two successive approximations differ by less than 0.001. Then find the zero(s) to three decimal places using a graphing utility and compare the res R2-sin(x) Newton's method Graphing ty ..

Find the tangent line approximation 7 to the graph of f at the given point. Then complete the table. (Round your answer to four decimal places.) T(x) = x = 1(x) T(x) 4.9 4.99 5 5.01 5.1