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25 Mar 2018
Question 6. (15 marks) (a) Write down the formula for the linear approximation to a function f(2) at a point i = a. (b) Find the linear approximation to f(x) = x1/4 with a=1. (c) Use (b) to estimate f(1.02) and compare this to the true value of f(2) at 1.02. (d) Write down the formula for the second-order polynomial approximation to a function f(x) at a point r= a. (e) Find the second order polynomial approximation to f(1) = 2/4 with a = 1. (f) Use (e) to estimate f(1.02) and compare this to the true value of f(1) at 1.02.
Question 6. (15 marks) (a) Write down the formula for the linear approximation to a function f(2) at a point i = a. (b) Find the linear approximation to f(x) = x1/4 with a=1. (c) Use (b) to estimate f(1.02) and compare this to the true value of f(2) at 1.02. (d) Write down the formula for the second-order polynomial approximation to a function f(x) at a point r= a. (e) Find the second order polynomial approximation to f(1) = 2/4 with a = 1. (f) Use (e) to estimate f(1.02) and compare this to the true value of f(1) at 1.02.
Reid WolffLv2
27 Mar 2018
