Applied Mathematics

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

Problems in this category

The problem Q-3(a) asks us to find the output level ($x$) at which a firm's profit is maximized, giv...

OptimizationCalculusProfit MaximizationDemand FunctionCost FunctionDerivatives
2025/7/14

The problem consists of four parts: Q-3 a) Given the demand function $P = 500 - 0.2x$ and the cost f...

CalculusOptimizationDemand and SupplyMarket EquilibriumIntegrationProfit MaximizationPoint of InflectionConsumer SurplusProducer Surplus
2025/7/14

The problem consists of three questions. Q-1 (a): A person receives a pension of Tk. 1400 per year, ...

Present ValueAnnuityFuture ValueDepreciationLinear AlgebraMatrix InverseOptimizationCalculusDemand FunctionCost FunctionProfit MaximizationPoint of Inflection
2025/7/14

The problem asks us to calculate the enthalpy of formation of $C_2H_6(g)$ given its enthalpy of comb...

ThermodynamicsEnthalpy of FormationEnthalpy of CombustionStoichiometry
2025/7/13

Two gases, P and Q, are contained in separate vessels. The volume of the vessel containing gas P is ...

Ideal Gas LawThermodynamicsRatioMolar MassPhysics
2025/7/13

We are given two solutions: 750 $cm^3$ of 0.1 $mol \cdot dm^{-3}$ $NaCl$ and 250 $cm^3$ of 0.15 $mol...

ChemistrySolution ConcentrationMolarityParts per million (ppm)Stoichiometry
2025/7/13

The problem asks for the number of moles of $KMnO_4$ required to completely react with one mole of $...

Chemical ReactionStoichiometryBalancing Equations
2025/7/13

The problem is based on an Excel sheet representing the quantity of products purchased in January by...

Spreadsheet FormulasExcelData AnalysisCost CalculationDiscount CalculationSummationCharting
2025/7/13

Question 21: Find the value of the cell C3 after the formula $=MAX(A1:C3)$ is inserted into cell C3...

Spreadsheet FormulasMAX FunctionData AnalysisDatabase Concepts
2025/7/13

The problem asks what value the formula `=MAX(A1:C3)` would return when inserted into cell C3. The c...

SpreadsheetMAX functionData Analysis
2025/7/13