Junkao Mathematics - independent shared foundations case studies
Junkao Mathematics - independent shared foundations · Put your knowledge to work in context.
This independent study page provides practice for Junkao Mathematics - independent shared foundations. Its editorial learning areas include Functions and differential calculus; Trigonometry; Sequences and series; Vectors and solid geometry; Analytic geometry and conics; Algebra, sets and inequalities; Probability and statistics. The Junkao Mathematics - independent shared foundations case studies are 6 cases and about 2,353 words.
1Drug dose recurrence and the limit shortcut
A patient is given 8.0 mg of a drug at the same time each day. Immediately after the nth dose, the amount in the bloodstream is A n mg.
371 words, about 2 min2Sine-rule survey with two possible triangles
During a land survey, triangle ABC represents three boundary posts. The measured sides are AB=8.4 m and AC=6.1 m, and the measured angle at B is angle ABC=32.0 degrees.
415 words, about 2 min3Open-box optimisation with an inadmissible root
A manufacturer cuts squares of side x cm from each corner of a rectangular sheet measuring 24 cm by 18 cm, then folds the flaps to make an open box. The volume is V(x)=x(24-2x)(18-2x).
388 words, about 2 min4Skew drone paths and the unchecked coordinate
Two drone flight paths are modelled by straight lines in a three-dimensional coordinate system measured in kilometres. Path L1 has equation r=(1,2,3)+lambda(2,-1,1); path L2 has equation r=(4,0,5)+mu(1,1,2).
348 words, about 2 min5Equipaje en la ruta Palma–Madrid: normal, binomial y contraste
La aerolínea que opera la ruta Palma–Madrid modela el peso del equipaje facturado por pasajero, en kg, como una variable normal de media 20 y desviación típica 3. Un avión de 180 pasajeros tiene un límite de 3.700 kg en bodega.
392 words, about 2 min6Cables tensores de un teatro: posición relativa, ángulo y plano
El equipo de montaje de un teatro de Palma instala dos cables tensores rectos. En un sistema de coordenadas en metros, con origen en el centro del escenario, el cable r pasa por A(1, 0, 2) y tiene vector director u = (2, -1, 1); el cable s pasa por B(0, 1, 3) y tiene vector director v = (1, 1, -1).
439 words, about 2 min