Mathematics of Optimization Theory APM4805 (APM4805)
University of South Africa
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APM4805 Assignment 1 2024 - DUE 31 May 2024
- Exam (elaborations) • 38 pages • 2024
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APM4805 Assignment 1 2024 - DUE 31 May 2024 ;100 % TRUSTED workings, explanations and solutions. For assistance call or W.h.a.t.s.a.p.p us on ...(.+.2.5.4.7.7.9.5.4.0.1.3.2)........... 
 
Question 1. Investigate the maxima and minima of the following functions over the real line: 
(a) f (x) = 2x 
2 + 3 
(b) f (x) = jx 2j + jx 1j 
(c) f (x) = e 1 x 
(d) f (x) = x 
2 
x 
[20 marks] 
Question 2. Investigate the minima and maxima of f (x; y) = 3x + 2y 1 on the following sets: 
(a) x 2 + y 2 1 
(b) x...
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