PAU Mathematics II (La Rioja) case studies
PAU Mathematics II (La Rioja) · Put your knowledge to work in context.
This independent study page provides practice for PAU Mathematics II (La Rioja). Its editorial learning areas include Matrices, determinants and linear systems; Differential calculus and function analysis; Integral calculus and area; Three-dimensional analytic geometry. The questions develop subject knowledge and application through worked reasoning, distinctions between competing answers, and practical scenarios. Study the relevant guide before attempting a mixed set, then explain the evidence or calculation that supports each answer. Topics on this exam: Matrices, determinants and linear systems, Differential calculus and function analysis, Integral calculus and area, and Three-dimensional analytic geometry. The PAU Mathematics II (La Rioja) case studies are 4 cases and about 1,728 words.
1Production plan with a supplier-dependent oil coefficient
Alimentación Rías is a small cooperative in Galicia that prepares three weekly meal batches: A, B and C. Each batch of A uses 1 hour of kitchen time, 2 kg of potatoes and 1 litre of oil; each B uses 1 hour, 1 kg and 2 litres; each C uses 1 hour, 0 kg and t litres, where t is set by a new oil supplier.
499 words, about 2 min2Rotating a parabolic cake mould
A pastry shop in Santiago is designing a new cake mould. The interior cross-section, in decimetres, is the region bounded by y=x^2 and y=2x for 0 ≤ x ≤ 2.
350 words, about 2 min3Drone path, radar distance and protected plane
A rescue drone flies along the straight line L given by (x,y,z) = (1,2,3) + λ(2,-1,1), with distances in kilometres and λ a real parameter. A radar station is at P(4,0,1).
406 words, about 2 min4Arch Service Deck: Integrals and Design Constraints
A concrete arch is modelled by the region under y=9−x² and above the ground y=0, for −3≤x≤3, with x and y in metres. A horizontal service deck is to be placed at height y=k, where 0<k<9, across the arch.
473 words, about 2 min