Exam 2 - Spring 2008

# Exam 2 - Spring 2008 - MET 581 Optimization Exam 2 Mathcad...

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MET 581 Optimization Exam 2 - Mathcad Exam f 1 x ( ) 200 sin x 10 e x 50 2 1 100 x 2 + 2x + := To make sure you have the equation programmed correctly, here are some sample values f 1 0 () 0 = f 1 10 ( ) 182.695 = f 1 10 ( ) 180.695 = 200 150 100 50 0 50 100 150 200 500 0 500 1000 f 1 x () x Problem 1 - Plot the derivative of f1(x) in the range -100 < x < 100 (10 points) Problem 2 - Find the global minimum and the two local minima. Make sure to identify which is which (20 points) Problem 3 - Find unconstrained minimum of this 2-D function using the Mathcad minimize function (10 points) f 2 xy , x 3 2 y 2 20 x 2 y 2 1 + 5x := f 2 11 , 2 1 = f 2 1 1 , 1 7 = f 2 00 , 2 0 = f 2 02 , 3

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## This note was uploaded on 02/21/2012 for the course MET 503 taught by Professor Markfrench during the Spring '12 term at Purdue.

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Exam 2 - Spring 2008 - MET 581 Optimization Exam 2 Mathcad...

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