Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
We are given a circuit diagram and asked to determine which logic gate it represents.
Logic GatesBoolean AlgebraCircuit Analysis
2025/7/13
A wire has an initial length of 7.5 cm, an initial diameter of 20 mm, and an initial resistance of 0...
PhysicsResistanceVolumeGeometryDimensional Analysis
2025/7/13
We need to solve the differential equation $(4x+y)^2 \frac{dx}{dy} = 1$.
Differential EquationsSubstitutionIntegration
2025/7/12
A magnetic azimuth of $54^\circ30'$ was observed along line AD in June 1977. The declination for the...
TrigonometryAzimuthDeclinationGeodesyApplied Physics
2025/7/11
The question asks: A pipe can fill a tank in 21 minutes, while another pipe can completely empty the...
Rate ProblemsWord ProblemsPipes and Cisterns
2025/7/10
Problem 16: A solid sphere of mass 5 kg is rolled upwards on an inclined plane with an angle of 30 d...
MechanicsKinematicsDynamicsTorqueMoment of InertiaInclined PlaneRolling Motion
2025/7/10
The problem asks to identify which set of three forces acting on an object cannot be in equilibrium.
PhysicsStaticsForce VectorsEquilibriumTriangle Inequality
2025/7/10
Tony bought a house on January 1, 2019, for RM450,000. He paid 10% of the purchase price as a down p...
Financial MathematicsProfit CalculationReal Estate
2025/7/10
The problem describes a hydraulic lift used in a vehicle service station. The smaller piston has a r...
Fluid MechanicsPascal's PrincipleHydraulic SystemsPressureForceFriction
2025/7/10
The problem describes a portfolio optimization scenario with two stocks, X and Y. The expected retur...
Portfolio OptimizationExpected ReturnStandard DeviationRisk AversionCalculusOptimizationDerivatives
2025/7/10