Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
The problem asks to find the difference in the approximate distance from the sun between Saturn and ...
Scientific NotationSubtractionUnits ConversionApproximationExponents
2025/3/14
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