Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
A vertical cylinder is placed with a piston inside. The cross-sectional area of the piston is $S = 6...
PhysicsThermodynamicsBoyle's LawPressureVolumeIsothermal ProcessUnit Conversion
2025/5/21
We are given a vertical cylinder with a piston of negligible mass. The cylinder contains air at norm...
Ideal Gas LawThermodynamicsPhysicsUnits ConversionProblem Solving
2025/5/21
The problem asks to calculate the number of iron atoms in $10.27 \, m^3$ of iron. The correct answer...
PhysicsChemistryDensityMolar MassAvogadro's NumberUnits ConversionScientific NotationApproximation
2025/5/21
Four rods have a length range of 3 meters. Their coefficients of linear expansion are $\alpha$, $2\a...
Linear ExpansionPhysicsProblem SolvingMathematical Modeling
2025/5/21
Two rods of lengths $2m$ and $1m$ have coefficients of linear expansion $2\alpha$ and $\alpha$ respe...
Thermal ExpansionPhysicsAverage CoefficientLinear Expansion
2025/5/21
A bimetallic strip is made of copper and steel. The linear expansivity of copper is $3.0 \times 10^{...
Thermal ExpansionMaterial PropertiesPhysics
2025/5/21
The problem provides information about a company's assets and debts. It asks us to calculate the val...
AccountingFinancial MathematicsBalance SheetProfit CalculationBusiness Mathematics
2025/5/21
The problem provides financial information for the company CISSE at the beginning of year N (1/1/N) ...
Financial AccountingBalance SheetNet WorthProfit CalculationAssetsLiabilities
2025/5/21
The problem describes the assets and liabilities of Monsieur BA's company at the beginning (January ...
Financial AccountingBalance SheetNet WorthProfit CalculationAsset Valuation
2025/5/20
The image contains two problems. The first is about personnel training and asks to determine the typ...
Cost AnalysisPayroll CalculationBusiness MathematicsOptimization
2025/5/20