Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
The problem provides a table of data relating advertising budget $x$ and revenue $y$ for a company o...
RegressionStatisticsCorrelationLinear RegressionMeanData Analysis
2025/4/30
A company invests continuously in advertising. The table provides the advertising budget $x$ and the...
Regression AnalysisStatisticsCorrelation CoefficientLinear RegressionData Analysis
2025/4/30
A company invests continuously in advertising. The table gives the advertising budget $x$ and the tu...
Regression AnalysisStatisticsCorrelation CoefficientLinear RegressionData Analysis
2025/4/30
The problem asks to determine if the population of a town increased or decreased between the years 2...
Percentage ChangePopulationStatisticsData Analysis
2025/4/30
The problem states that $x$ km/h is equal to $y$ m/s. We need to find the expression for $y$ in term...
Unit ConversionDimensional AnalysisPhysics
2025/4/29
The problem provides information about a power screw with a diameter of 25 mm and a pitch of 5 mm. I...
Mechanical EngineeringPower ScrewTorqueEfficiencyFriction
2025/4/29
A bevel pinion rotates at 600 rev/min and transmits 5 hp to a gear. The problem requires determining...
Mechanical EngineeringGearsTorqueForce AnalysisBearing LoadsTrigonometry
2025/4/29
The problem describes a gear drive system with multiple output shafts (B, C, D, and E) driven by gea...
Mechanical EngineeringGearsTorquePowerRotational SpeedGear RatiosKinematics
2025/4/29
The problem asks us to determine the train value of the gear system. Given that gear A rotates at 17...
Gear SystemsMechanical EngineeringRatio and ProportionRotational Speed
2025/4/29
We are given a gear train with four gears A, B, C, and D. Gears A and B are meshed, gears C and D ar...
Gear TrainsRotational MotionGear RatiosEngineering Mechanics
2025/4/29