Kaoyan Mathematics III case studies
Kaoyan Mathematics III · Put your knowledge to work in context.
This independent study page provides practice for Kaoyan Mathematics III. Its editorial learning areas include Calculus; Linear algebra; Probability and statistics; Applied quantitative modeling. 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: Calculus, Linear algebra, Probability and statistics, and Applied quantitative modeling. The Kaoyan Mathematics III case studies are 4 cases and about 2,179 words.
1Strain-Gauge Calibration: Least Squares After a Suspect Reading
A calibration technician records a strain gauge's output y (mV) at five known loads x (kN): (1, 2.10), (2, 3.95), (3, 6.10), (4, 7.85), (5, 10.20). The intended model is y = a + bx.
621 words, about 3 min2Screening Test: PPV, Repeat Testing, and a Limited Confirmation Budget
In this fictional probability and expected-cost exercise, a regional clinic screens 10,000 adults, of whom 2,000 are in a high-risk subgroup with family history. The general-population prevalence is 0.80%; in the high-risk subgroup it is 6.0%.
709 words, about 4 min3Production 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 min4Rotating 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 min