a) Solve X4+12X3−13=0, correct to 4 significant figures by an algebraic method of successive approximations   b) The critical speeds of oscillation, λ, of a loaded beam are given by the equation:  λ3 − 3.250λ2 + λ − 0.063 = 0  Determine the value of λ which is approximately equal to 3.0 by Newton’s method, correct to 4 decimal places

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A: Since you have posted a multiple question according to guidelines I will solve first(Q3)  question…

Q: The critical speeds of oscillation, λ, of a loaded beam are given by the equation:  λ3 − 3.250λ2 + λ…

A: Here, the given by the equation: λ3-3.250λ2+λ-0.063=0. To find: The value of λ which is…

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A: OPTION (a ) IS CORRECT  APPROXIMATE ROOT OF THE EQUATION X2-4 =0 USING NEWTON'S METHOD IS '2'

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