Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
The problem asks how many times the annual flow of the Mississippi River ($6.3 \cdot 10^{11}$ cubic ...
Scientific NotationExponentsDivisionApproximationUnits Conversion
2025/3/14
The problem provides data of mid-semester test scores ($x$) and end-of-year examination scores ($y$)...
RegressionStatisticsScatter PlotLinear RegressionData AnalysisCorrelation
2025/3/14
The villagers have 40 hectares of land. Planting coffee yields a profit of K2000 per hectare, and re...
OptimizationLinear ProgrammingConstraintsMaximizationWord Problem
2025/3/14
The problem asks us to determine how much of a 40-hectare land should be planted with coffee and veg...
Linear ProgrammingOptimizationConstraintsObjective FunctionFeasible RegionVertices
2025/3/14
The problem consists of three independent questions: 4) A motorist leaves Windhoek at 05:55 on his w...
Word ProblemsUnits ConversionScientific NotationEstimationTime CalculationDistance CalculationSpeed Calculation
2025/3/12
The problem is about the effect of removing the point $(10, 2)$ from a dataset on the slope and y-in...
RegressionLine of Best FitStatisticsData AnalysisOutliers
2025/3/12
We are asked to calculate the apparent power in KVA of a 3-phase, 415V, 50 Hz, star system. The line...
Electrical EngineeringThree-Phase PowerApparent PowerPower FactorVoltageCurrent
2025/3/12
The problem provides two vectors, $u$ and $v$, defined as $u = -i + 3j + k$ and $v = 4i + 7j$. This ...
VectorsDot ProductLinear Algebra3D Vectors
2025/3/12
A company wants to have $20,000 at the beginning of each 6-month period for the next $4\frac{1}{2}$ ...
Financial MathematicsPresent ValueAnnuity DueCompound Interest
2025/3/11
A company wants to have $20,000 at the beginning of each 6-month period for the next $4\frac{1}{2}$ ...
FinanceAnnuityPresent ValueCompound Interest
2025/3/11