Applied Mathematics

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

Problems in this category

The problem shows the chemical formula of lead(II) nitrate: $Pb(NO_3)_2$. The question requires cal...

Molar MassChemistryStoichiometryUnits ConversionArithmetic
2025/5/8

The image shows the chemical formula of sulfuric acid, which is $H_2SO_4$. The problem is probably a...

ChemistryMolar Mass CalculationUnits ConversionFormula Application
2025/5/8

The problem states that a country reduces its annual CO2 emissions by 2% per year. The emissions in ...

Exponential DecayEnvironmental SciencePercentageModeling
2025/5/8

The problem describes an office tower where the ground floor has an area of $1330.0 \ m^2$ and each ...

Exponential DecayPercentageArea CalculationReal-world Application
2025/5/8

A block of 4 kg mass descends on a frictionless inclined plane at a constant velocity. What is the w...

PhysicsWork-Energy TheoremInclined PlaneForcesTrigonometry
2025/5/8

A Ferris wheel has a radius of 20 meters, makes a full rotation in 1 minute, and its axle stands 25 ...

TrigonometryModelingPeriodic FunctionsFerris WheelSine and Cosine Functions
2025/5/7

We are given that the temperature of a swimming pool is modeled by a trigonometric function. The hig...

TrigonometryModelingPeriodic FunctionsCosine FunctionTemperatureWord Problem
2025/5/7

The problem describes three transactions of TESSITO SARL that occurred in January 2021. Transaction ...

Financial CalculationsPercentageAccountingDiscountsVATCost of Goods Sold
2025/5/7

The problem states that in the same amount of time, one object oscillates $N_1 = 100$ times, and ano...

OscillationsPeriodRatioPhysics
2025/5/7

A pendulum bob is displaced 7.06 cm and released. After 0.42 s, the bob reaches the equilibrium posi...

OscillationsPendulumFrequencyPeriodPhysics
2025/5/7