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23-Chem-B3 Simulation, Modelling, and Optimization: December 2014

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 Minimum-Material Dimensions of a Fixed-Volume Open-Top Tank
  2. Question 2 Critical Points of an Unconstrained Cubic Surface
  3. Question 3 Approximate Concentration by Taylor Extrapolation of an Error-Function Profile
  4. Question 4 Discrete Growth Model Solved with the Shift (E) Operator
  5. Question 5 Inference on a Least-Squares Linear Regression
  6. Question 6 Convergence of Newton's Method and Bisection
  7. Question 7 Linear-Programming Product Mix for Maximum Profit

Start with Question 1 →

National Exams — December 2014 — 04-Chem-B3, Simulation, Modelling & Optimization. Closed-book; any five of the seven questions constitute a complete paper (equal value). All seven are solved below as a study resource.

Reference texts: T. F. Edgar, D. M. Himmelblau & L. S. Lasdon, Optimization of Chemical Processes (2nd ed., McGraw-Hill) — unconstrained & constrained optimization and linear programming; S. S. Rao, Engineering Optimization: Theory and Practice (4th ed., Wiley); S. C. Chapra & R. P. Canale, Numerical Methods for Engineers (7th ed., McGraw-Hill) — root finding (Newton, bisection) and difference equations; D. C. Montgomery & G. C. Runger, Applied Statistics and Probability for Engineers (7th ed., Wiley) — linear regression and hypothesis testing; E. Kreyszig, Advanced Engineering Mathematics (10th ed., Wiley) — the error function and difference equations.