Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
The problem asks to find the AC signal output, $V_0$, of the given circuit. The circuit consists of ...
Circuit AnalysisAC SignalsDiodeApproximation
2025/5/30
The problem asks to find the AC signal output $V_0$ of the given circuit. The circuit consists of a ...
Circuit AnalysisElectronicsDiodesAC SignalVoltage DividerOhm's Law
2025/5/29
The problem asks us to find the AC signal output, $V_o$, of the given circuit. The circuit consists ...
Circuit AnalysisDiode CircuitsAC SignalsClipping CircuitsSignal Processing
2025/5/29
The problem asks us to find the AC signal output $V_o$ of the given circuit. The circuit consists of...
Circuit AnalysisAC SignalsDiodesElectronics
2025/5/29
The total cost of producing $x$ toys is given by $C(x) = -2350 + 80x - 0.04x^2$. The price function ...
CalculusMarginal ProfitRevenue FunctionProfit FunctionDerivativesOptimization
2025/5/29
The problem describes a school planning to renovate its facilities, including a football stadium, ha...
GeometryAlgebraOptimizationBudgetingArea CalculationTrigonometryEquations
2025/5/27
The problem provides a function $h(v) = -v + 3000 - \frac{8100}{v}$ that models the daily production...
OptimizationCalculusDerivativesMaxima and MinimaModeling
2025/5/27
The problem asks us to find the volume of the solid generated by rotating the region bounded by the ...
CalculusVolume of Solids of RevolutionDisk/Washer MethodCylindrical Shell MethodIntegration
2025/5/27
The problem asks to create a linear cost function $C(x)$ for a company, where $x$ is the number of i...
Linear FunctionsCost FunctionModeling
2025/5/27
We are given the total cost function $C(x) = -2350 + 80x - 0.04x^2$ and the price function $P(x) = 2...
CalculusOptimizationMarginal AnalysisProfit FunctionRevenue FunctionCost FunctionDerivatives
2025/5/27