Applied Mathematics

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

Problems in this category

The problem describes a car traveling at a constant speed over equally-spaced lines on the road. Two...

PhysicsKinematicsSpeedDistanceTimeUnits Conversion
2025/3/14

The problem describes a car moving at a constant speed. Two photographs of the car were taken. The s...

KinematicsSpeed CalculationDistanceTimeUnits ConversionPhysics
2025/3/14

A car travels at a constant speed. Two photos of the car were taken $0.5$ seconds apart. The distanc...

SpeedDistanceTimeUnits ConversionPhysics
2025/3/14

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