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10 Jun 2018
Question 5. (20 marks) Let f(1) be a function with first and second order derivatives f'(.) and f'(2). (a) What is the formula for the first order Taylor series or polynomial approximation to f(x) at a point a? (b) What is the formula for the first order Taylor series or polynomial approximation to f(x) at a point a? (c) Find the first and second order polynomial approximations of y = x1/2 at the point r= 1. (d) Use these to estimate and compare your results to the true value of 1.1.
Question 5. (20 marks) Let f(1) be a function with first and second order derivatives f'(.) and f'(2). (a) What is the formula for the first order Taylor series or polynomial approximation to f(x) at a point a? (b) What is the formula for the first order Taylor series or polynomial approximation to f(x) at a point a? (c) Find the first and second order polynomial approximations of y = x1/2 at the point r= 1. (d) Use these to estimate and compare your results to the true value of 1.1.
Casey DurganLv2
13 Jun 2018
