MAT2615
University of South Africa
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Examen
MAT2615 Assignment 3 2026 - DUE 2026 [COMPLETE ANSWERS];100% TRUSTED WORKING
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---14febrero 20262025/2026A+
- MAT2615 Assignment 3 2026 - DUE 2026 [COMPLETE ANSWERS];100% TRUSTED WORKINGS.1. (Sections 10.1, 10.2) Consider the R 
2 − R function f defined by 
f (x, y) = x 
2 − 6x + 3y 
2 − y 
3 
. 
(a) Find all the critical points of f. (The function has two critical points.) (5) 
(b) Use Theorem 10.2.9 to determine the local extreme values and minimax values of f. 
Also determine (by inspection) whether any of the local extrema are global extrema. (5) 
[10] 
2. (Sections 2.6, and Chapter 10) Let L...
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Examen
MAT2615 Assignment 2 2026 - DUE 2026 [COMPLETE ANSWERS];100%TRUSTED WORKING
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---13febrero 20262025/2026A+
- MAT2615 Assignment 2 2026 - DUE 2026 [COMPLETE ANSWERS];100%TRUSTED WORKING 1. (Sections 3.2, 7.5 and 7.9) Consider the R 
2 − R function f defined by 
f(x, y) = 1 − x 
2 − y 
2 
. 
Let C be the contour curve of f through the point (1, −1), let L be the tangent to C at (x, y) = 
(1, 1) and let V be the tangent plane to f at (x, y) = (1, 1). 
(a) Find the equation of the curve C. (2) 
(b) Find a vector in R 
2 
that is perpendicular to C at (x, y) = (1, 1). (2) 
(c) Find the Cartesian e...
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THEBLAZE1
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Examen
MAT2615 Assignment 1 (COMPLETE ANSWERS) 2025 - DUE 15 May 2025; 100% TRUSTED Complete, trusted solutions and explanations..
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---7febrero 20252024/2025A+
- MAT2615 Assignment 1 (COMPLETE ANSWERS) 2025 - DUE 15 May 2025; 100% TRUSTED Complete, trusted solutions and explanations..
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