Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
The problem asks to calculate the firm's marginal cost of the 10th unit, given the total cost functi...
CalculusMarginal CostOptimizationDerivativesEconomics
2025/7/1
The problem provides information about a sinusoidal waveform: a peak value of 20 A and a frequency o...
TrigonometrySinusoidal WaveAC CircuitsRMS ValueWaveform Analysis
2025/6/29
The problem is based on a spreadsheet representing channeling charges of Suwa Medura Medical Center....
Spreadsheet FormulasData AnalysisFinancial Modeling
2025/6/29
The problem is to identify which of the provided spreadsheet formulas (A, B, and C) are correctly wr...
SpreadsheetsFunctionsMAX functionData Analysis
2025/6/29
Question 20: Given a spreadsheet, the formula $A$1*$B1 is entered in cell C1. What will be the value...
Spreadsheet FormulasCell ReferencesCOUNT functionFormula PropagationArithmetic
2025/6/29
A four-bar linkage mechanism is given. The lengths of the links are $AB = 100$ mm, $BC = 150$ mm, an...
KinematicsFour-Bar LinkageAngular VelocityAngular AccelerationVelocity AnalysisAcceleration AnalysisMechanism
2025/6/28
We are given that the half-life of radioactive carbon $^{14}C$ is 5730 years. A parchment has 74% of...
Radioactive DecayExponential DecayHalf-lifeLogarithms
2025/6/27
The problem consists of three independent sub-problems: (2.2) Find the equation of a curve that pass...
Differential EquationsNewton's Law of CoolingRadioactive DecayExponential Functions
2025/6/27
A car completes a journey in 10 minutes. For the first half of the distance, the speed was 60 km/h a...
Distance, Speed, and TimeWord ProblemAlgebraic Equations
2025/6/27
Mahmoud runs to a marker and back in 15 minutes (900 seconds). His speed on the way to the marker is...
Word ProblemDistance, Rate, and TimeLinear Equations
2025/6/26