MAT 301 Analysis 1 Exam 2026

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MAT 301: University of Buea, First Semester Resit Exam (25-02-2026, Dr Djiomba Sylvie, 1-page paper, final paper of this course): simply-connected/path-connected definitions and a 'square annulus' (diamond minus inscribed disk) sketch and classification; partials of e^(x^2*y) found from the limit definition; the x^m-y^n+z^p saddle-point question (15 marks, consolidated single-question version); a three-variable change-of-variables (u=x+y+z, v=(y+z)/u, w=z/(y+z)) triple integral over a region in R^3, with the volume (7/64) and the integral of f=z/(y+z) (which simplifies elegantly to w, giving 7/128) both computed via the Jacobian u^2*v.