Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
The problem asks how many Year 8 students study German, based on the bar graph provided. The graph s...
Data InterpretationBar GraphStatistics
2025/4/27
The problem describes a shopping complex with three areas: food (F), clothing (C), and merchandise (...
MatricesMatrix OperationsWord ProblemProportionsLinear Equations
2025/4/27
The problem describes a scenario where a new arcade, "Amazing Arcade" (A), is opening near "Extra Em...
Markov ChainsTransition MatricesProbabilityLinear AlgebraModeling
2025/4/27
The problem asks us to show that for the gas law $PV = kT$, where $P$ is pressure, $V$ is volume, $T...
Partial DerivativesThermodynamicsGas LawMultivariable Calculus
2025/4/27
Problem 31 states that for an ideal gas, the pressure $P$, temperature $T$, and volume $V$ are relat...
CalculusPhysicsIdeal Gas LawDifferentiationRate of Change
2025/4/27
The problem asks us to show that for the gas law of problem 31, the following two equations hold: $V...
ThermodynamicsPartial DerivativesGas LawEquation of State
2025/4/27
The problem states that Charles runs 100 meters in 13 seconds at a constant speed. We need to identi...
Linear MotionSpeedDistanceTimeGraph AnalysisRate of Change
2025/4/26
The image shows an asteroid named Ida and its moon, Dactyl. The question asks why Dactyl orbits Ida....
PhysicsGravitational ForceOrbital MechanicsCelestial Bodies
2025/4/26
The problem describes the motion of an object using a position versus time graph. The graph shows a ...
KinematicsPosition-Time GraphVelocityAccelerationMotion
2025/4/26
The problem asks for the distance between Earth and Proxima Centauri. We are given that light travel...
DistanceLight YearsUnit ConversionPhysics
2025/4/26