Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
The problem provides the volume of an acetic acid solution in a bottle ($500 \, \text{cm}^3$), the d...
DensityPercentageUnits ConversionSolution Chemistry
2025/3/30
An object falls from a height towards the ground under gravity. It takes 5 seconds to reach the grou...
PhysicsKinematicsFree FallAccelerationVelocityDistance
2025/3/30
The problem describes the relationship between the amount of time a car is parked and the cost of pa...
FunctionsLinear FunctionsGraphingModeling
2025/3/28
The problem requires us to find the node voltages $V_1$, $V_2$, and $V_3$ in the given circuit using...
Circuit AnalysisNodal AnalysisKirchhoff's Current Law (KCL)Linear EquationsElectrical Engineering
2025/3/27
The problem asks us to find the current $i_o$ in the given circuit using source transformation. The ...
Circuit AnalysisSource TransformationOhm's LawKirchhoff's Laws
2025/3/27
A DC motor takes an armature current of $I_a = 110$ A at a voltage of $V = 480$ V. The armature circ...
Electrical EngineeringDC MotorTorqueBack EMFPhysics
2025/3/27
Given a unity feedback system with the transfer function $G(s) = \frac{16}{s(s+5)}$, determine the d...
Control SystemsTransfer FunctionDamping RatioOvershootSettling TimeSecond-Order System
2025/3/27
The table shows the population of Arizona Bark Scorpions and Emperor Scorpions over a number of mont...
Exponential GrowthLinear GrowthModelingSequences and SeriesPopulation Dynamics
2025/3/26
The problem states that a function $R(s)$ gives a "rest score" based on the number of hours of sleep...
FunctionsDomainReal-world applicationModeling
2025/3/26
The problem describes a doctor's schedule and appointment durations. We are given inequalities $0.25...
InequalitiesModelingOptimizationWord Problem
2025/3/25