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Advanced design technique (multidisciplinary optimization

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Attention, if part A doesn’t make sense then please tell me… As for Part B, PLEASE MAKE SURE YOU CAN DO EVERYTHING before sending a Handshake… let’s not waste our times here shall we? I’ve been cheated and burned here more than once!

*So please ensure you KNOW that you will have no slip-ups for the question.*

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*PART A:* Set up an objective function for your design project and identify the constraints involved. Prepare a presentation slide and a short write-up.

*PART B:* Minimize **f(x) = x sin x**

Check what happens if **x = 1.0769** at any point during the search.

1) Find the solution using Newton’s method.

Start from the initial bound points **x _{0} = -0.5** &

Decide when **x**^{*}^{ }has converged, note the number of function iterations & function evaluations.

Count each calculation **f**, **f’** or **f”** as one function evaluation.

2) Find the solution using Golden Section method.

Start from initial bound points **x**_{L}= -0.5 and **x _{U}**

Decide when **x**^{* }has converged, note the number of function iterations & function evaluations.

Count each calculation **f**, **f’** or **f”** as one function evaluation.

3) Compare the number of iterations & function evaluations required by Newton’s method to the number required by the Golden Section.