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2. (8 marks) Consider the function f(:r:) = 33: + 25!:2 + em. a) (4 marks) Find the second order Taylor polynomial for f (3:)
2. (8 marks) Consider the function f(:r:) = 33: + 25!:2 + em. a) (4 marks) Find the second order Taylor polynomial for f (3:) about in = 1. b) (2 marks) Use your answer from part a) to calculate approximate values for f(1.01) and f (5). Round to the nearest hundredth. c) (2 marks) Compare your answers from part b) to the true values of f (2) and f (5). How far off the true value was each approximation
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