Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
We need to solve 10 problems related to Mathematics of Finance: simple and compound interest, annuit...
FinanceInterestCompound InterestAnnuitiesLoan AmortizationPresent ValueFuture Value
2025/4/14
A $2.5 kg$ body is suspended by two inextensible strings, XP and YP, inclined at $40^\circ$ and $50^...
PhysicsStaticsForcesTrigonometryEquilibrium
2025/4/13
The problem asks to calculate the wavelength of a photon released when an electron jumps from one en...
PhysicsQuantum MechanicsPhotonWavelengthEnergyPlanck's ConstantSpeed of LightFormula ApplicationUnits Conversion
2025/4/13
We are given that 0.290 g of an organic substance (containing C, H, and O) is combusted. The combust...
StoichiometryEmpirical FormulaMolar MassIdeal Gas LawDensityChemistry
2025/4/13
The problem is based on the combustion of an organic compound with the formula $C_xH_yO_z$. We are ...
StoichiometryIdeal Gas LawMolar MassEmpirical FormulaVapor DensityChemistry
2025/4/13
We are given a white powder, glycine, with the general formula $C_xH_yO_zN_t$. 1.5g of glycine is re...
ChemistryStoichiometryIdeal Gas LawEmpirical Formula
2025/4/13
An electron transitions between energy levels in an atom, releasing a photon with energy $3.2 \times...
PhysicsElectromagnetismQuantum MechanicsPhoton EnergyWavelengthPlanck's Constant
2025/4/13
The problem consists of two parts: (a) From the top $K$ of a building 320 m high, the angles of depr...
TrigonometryAngle of DepressionWord ProblemAlgebraQuadratic EquationsRate of Change
2025/4/13
The image presents a derivation of some formulae used in meteorology, specifically related to the ch...
PhysicsMeteorologyCalculusIntegrationGas LawsDifferential EquationsLogarithms
2025/4/13
The exercise presents a series of questions related to an organic compound. We are asked to determin...
Ideal Gas LawStoichiometryCombustion AnalysisMolar MassChemical Formula
2025/4/12