Calculus in Higher Dimensions
University of South Africa (Unisa)
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MAT2615 Assignment 2 solutions 2026
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---11april 20262025/2026
- MAT2615 Assignment 2 solutions 2026 
0-7-9-3-2-2-6-4-2-7 
UNISA 
ALL ANSWERS ARE VERIFIED AND ANSWERED BEST CLEARLY, STEP BY STEP ALL CALCULATIONS ARE SHOWN TOO 
Dear Student , type or hand write this is allowed and 
I’m your private tutor iQ Level 
CALCULUS IN HIGHER DIMENSIONS 
MAT2615 
Year module 
Department of Mathematical Sciences 
IMPORTANT INFORMATION: 
Please activate your myUnisa and myLife e-mail account and 
make sure that you have regular access to the myUnisa module 
website MA...
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MAT2615 Assignment 2 Memo | Due June 2026
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---16februari 20262025/2026A+
- MAT2615 Assignment 2 Memo | Due June 2026. All questions fully answered. 1. (Sections 3.2, 7.5 and 7.9) Consider the R2 − R function f defined by 
f (x, y) = 1 − x2 − y2. 
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 R2 that is perpendicular to C at (x, y) = (1, 1). (2) 
(c) Find the Cartesian equation of the ...
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Aimark94
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MAT2615 Assignment 3 (DETAILED ANSWERS) 2026 - DISTINCTION GUARANTEED
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---9januari 20262025/2026A+
- MAT2615 Assignment 3 (DETAILED ANSWERS) 2026 - DISTINCTION GUARANTEED - DISTINCTION GUARANTEED - DISTINCTION GUARANTEED Answers, guidelines, workings and references.. 1. (Sections 10.1, 10.2) Consider the R2 − R function f defined by 
f (x, y) = x2 − 6x + 3y2 − y3. 
(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 loca...
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VarsityC
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MAT2615 Assignment 2 (DETAILED ANSWERS) 2026 - DISTINCTION GUARANTEED
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---11januari 20262025/2026A+
- MAT2615 Assignment 2 (DETAILED ANSWERS) 2026 - DISTINCTION GUARANTEED - DISTINCTION GUARANTEED - DISTINCTION GUARANTEED Answers, guidelines, workings and references.. Consider the R2 − R function f defined by 
f (x, y) = 1 − x2 − y2. 
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 R2 that is perpendicular to C a...
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$4.74 Meer Info
VarsityC
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Tentamen (uitwerkingen)
MAT2615 Assignment 3 (ANSWERS) 2026 - DISTINCTION GUARANTEED
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---9januari 20262025/2026A+
- Comprehensively structured MAT2615 Assignment 3 (ANSWERS) 2026 - DISTINCTION GUARANTEED. Prepared to a distinction standard with detailed and well-developed responses. .. 1. (Sections 10.1, 10.2) Consider the R2 − R function f defined by 
f (x, y) = x2 − 6x + 3y2 − y3. 
(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 ...
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$4.74 Meer Info
Edge
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Tentamen (uitwerkingen)
MAT2615 Assignment 2 (ANSWERS) 2026 - DISTINCTION GUARANTEED
-
---11januari 20262025/2026A+
- Comprehensively structured MAT2615 Assignment 2 (ANSWERS) 2026 - DISTINCTION GUARANTEED. Prepared to a distinction standard with detailed and well-developed responses. ..Consider the R2 − R function f defined by 
f (x, y) = 1 − x2 − y2. 
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 R2 that is perpendicular to C...
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$4.74 Meer Info
Edge