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For the same data in Q4, if the Secant method is used to estimate h with initial values h₋₁ = 1 and h₀ = 2, calculate the value of the estimate after two iterations. Options: a) 0.6201, b) 0.6900, c) 0.7614, d) non-convergent.

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Final answer:

It's impossible to determine the estimate after two iterations of the Secant method and whether it converges, as the function we are trying to find the root of is not provided in the question.

Step-by-step explanation:

The Secant Method is a numerical technique used for finding an approximation to the roots of a real-valued function. To calculate the estimate after two iterations of the Secant method with initial values h₋₁ = 1 and h₀ = 2, we first need the function for which we are trying to find the root. Unfortunately, this function is not provided in the question, making it impossible to perform the necessary calculations to determine the value of the estimate after two iterations. Without the function, we cannot determine the convergence of the method or calculate subsequent approximations after the initial guesses. Consequently, we cannot select an option from the given choices a) 0.6201, b) 0.6900, c) 0.7614, or d) non-convergent.

User Hari Menon
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