MAT 301 Analysis 1 CA 2019
About this paper
MAT 301: University of Buea, Continuous Assessment Test (25-01-2019, S. Tchuiaga, 2hrs): definitions (continuity, differentiability, C^1, critical point); a graph-matching question identifying a hyperbolic vs. elliptic paraboloid from three sketched surfaces (with the third, unrelated double-cone sketch identified as a distractor); Mean Value Theorem and Leading Minors Test statements; full continuity/partials/directional-derivative/differentiability analysis of f(x,y)=xy^2/(x^2+y^2); an optimal-trapezoidal-channel ('best hydraulic cross-section') optimization problem solved via calculus (l=L/3, theta=30 degrees, half-hexagon shape).
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University of Buea
Faculty of Science - FS
Mathematics - MAT
Analysis 1
CA · First Semester · Level 300
From this paper
- 3.
Write down the statement of the Mean Value Theorem for a function h : R 3 → R. 2 marks
- 4.
Write down the statement of the Leading Minors Test Theorem for a function f : R 2 → R. 3 marks
At a glance
- Course code
- MAT301 (MAT 301)
- Type
- CA
- Year
- 2019
- Level
- Level 300
- Semester
- First Semester
- Proposed solution
- Included
Where it's from
University
University of BueaFaculty
Faculty of Science - FSDepartment
Mathematics - MAT
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