Applied Mathematics

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

Problems in this category

We are given the equation $Sem(5 \times 21) = cos(9^\circ) + tan(5x)$ and we need to find the value ...

TrigonometryEquationsApproximationAngle MeasurementSemiperimeter (assumed)Trigonometric Functions
2025/4/21

We are given a manhole cover modeled as a cylinder with a diameter of 24 inches and a height of 1.25...

GeometryVolumeDensityUnits ConversionApproximation
2025/4/21

We are given a solid cylinder with diameter $1.2$ m and height $4$ m. Its mass is $29$ kg. We need t...

GeometryDensityVolumeCylinderUnits ConversionApproximation
2025/4/21

The problem describes a solid object in the shape of a cylinder. The diameter of the cylinder is 2.8...

Volume of CylinderDensityUnits ConversionApproximation
2025/4/21

The problem states that a cubic stand is made of a material with a density of $375 \, \text{kg/m}^3$...

VolumeDensityCube RootUnits ConversionPhysics
2025/4/21

We are given a rectangular prism of wood with width 0.4 m, length 0.6 m, and height 0.7 m. The mass...

VolumeDensityUnits ConversionRectangular Prism
2025/4/21

The problem asks to find the density of a rectangular prism with a given mass of 48.3 kg and dimensi...

VolumeDensityUnits ConversionRectangular PrismPhysics
2025/4/21

We are given a rectangular prism with dimensions 5 cm, 1.6 cm, and 2 cm. The density of the object i...

VolumeDensityMassRectangular PrismUnits Conversion
2025/4/21

The problem states that an object has a volume of $65 m^3$ and a density of $26 \frac{kg}{m^3}$. We ...

DensityVolumeMassUnits Conversion
2025/4/21

The problem states that an object has a mass of 352 kg and a volume of 220 $m^3$. We are asked to fi...

DensityUnits ConversionPhysicsRatio
2025/4/21