Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
The problem asks for the magnitude and direction of the net force acting on the car. There are four...
PhysicsForcesNet ForceVector Addition
2025/3/31
The problem involves evaluating spreadsheet formulas. Question 30: Given that cell A1 contains the n...
Spreadsheet FormulasFunctionsData AnalysisCOUNTAVERAGEConcatenation
2025/3/31
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