Applied Mathematics

Problems related to numerical analysis, optimization, mathematical modeling, etc.

Problems in this category

The problem asks us to fill in the blanks with either $g$ (grams) or $kg$ (kilograms) to make the st...

Units of MeasurementWeightConversion
2025/7/17

Warda walks at an average speed of 3 km/hr for 45 minutes before running for half an hour at a certa...

Word ProblemDistanceSpeedTimeRateLinear Equations
2025/7/16

Determine the vertical displacement at the point $I$ of the given structure, due to the effect of th...

Structural AnalysisDeflectionBeam TheoryVirtual WorkEngineering Mechanics
2025/7/16

The problem asks to determine the vertical displacement at point I (which I assume is at the top of ...

Structural MechanicsCastigliano's TheoremBeam BendingStrain EnergyDeflectionIntegration
2025/7/16

The problem asks to determine the vertical displacement at a point "I" (likely implied as the midpoi...

Structural MechanicsBeam DeflectionFlexural RigidityUniformly Distributed Load (UDL)ElasticityVirtual WorkCastigliano's Theorem
2025/7/16

The problem asks us to determine the vertical displacement at a point I (assumed to be a point withi...

Structural MechanicsFinite Element AnalysisVirtual WorkBending MomentDeflectionEngineering
2025/7/16

The problem describes a lottery win of $1,000,000 and presents several options for receiving the pri...

Financial MathematicsPresent ValueAnnuityPerpetuityDiscount Rate
2025/7/16

The problem consists of two parts: (a) An aircraft flies at different speeds and bearings for certai...

TrigonometryDifferentiationDistanceBearingAircraft Navigation
2025/7/15

The problem presents a line graph showing the distance of taxi driver Joe from his home over a 12-ho...

Graph InterpretationDistanceRate of ChangeReal-World Application
2025/7/15

The problem asks to solve a circuit using Kirchhoff's laws. The circuit consists of two voltage sour...

Circuit AnalysisKirchhoff's LawsThevenin's TheoremNorton's TheoremElectrical Engineering
2025/7/14