Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
The problem asks us to find the current $i_o$ in the given circuit using source transformation. The ...
Circuit AnalysisSource TransformationOhm's LawKirchhoff's Laws
2025/3/27
A DC motor takes an armature current of $I_a = 110$ A at a voltage of $V = 480$ V. The armature circ...
Electrical EngineeringDC MotorTorqueBack EMFPhysics
2025/3/27
Given a unity feedback system with the transfer function $G(s) = \frac{16}{s(s+5)}$, determine the d...
Control SystemsTransfer FunctionDamping RatioOvershootSettling TimeSecond-Order System
2025/3/27
The table shows the population of Arizona Bark Scorpions and Emperor Scorpions over a number of mont...
Exponential GrowthLinear GrowthModelingSequences and SeriesPopulation Dynamics
2025/3/26
The problem states that a function $R(s)$ gives a "rest score" based on the number of hours of sleep...
FunctionsDomainReal-world applicationModeling
2025/3/26
The problem describes a doctor's schedule and appointment durations. We are given inequalities $0.25...
InequalitiesModelingOptimizationWord Problem
2025/3/25
The problem describes a pile driver used in construction. It has two parts: i) Given the mass of the...
PhysicsWeight CalculationEnergy LossEngineering
2025/3/24
The problem asks us to find the relative atomic mass of oxygen, given the actual mass of an oxygen a...
Scientific CalculationRatioApproximationAtomic Mass
2025/3/24
The problem asks to calculate the compound interest and total amount after 5 years for an investment...
Compound InterestFinancial MathematicsExponentsFormula Application
2025/3/22
The problem asks to calculate the equal annual installment payments required to repay a loan of Tk. ...
Financial MathematicsLoan AmortizationPresent ValueAnnuity
2025/3/22