Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
The problem provides a total cost function $C(x) = 850 \ln(x + 10) + 1700$, where $x$ is the number ...
Cost FunctionLogarithmExponential FunctionOptimizationBusiness Application
2025/3/8
The problem provides a cost function $C(x) = 850\ln(x + 10) + 1700$, where $x$ is the number of unit...
Cost FunctionLogarithmExponential FunctionOptimization
2025/3/8
The problem gives the demand function $p = 100e^{-q/2}$, where $p$ is the price per unit and $q$ is ...
Exponential FunctionsDemand FunctionLogarithmsApproximation
2025/3/8
The sales decay for a product is given by $S = 80000e^{-0.9x}$, where $S$ is the monthly sales and $...
Exponential DecaySales ModelLogarithmsInequalities
2025/3/8
The problem provides the following information about a soil mass: moisture content ($w = 21\% = 0.21...
Soil MechanicsGeotechnical EngineeringUnit WeightDegree of SaturationMoisture ContentVolume Relationships
2025/3/7
The problem gives the equation $y = \frac{7}{\sqrt{x}} - 70$. We need to find the value of $y$ when ...
Numerical CalculationApproximationScientific Notation
2025/3/6
The problem states that a baseball is thrown vertically upward with a velocity $V$ (in feet per seco...
KinematicsVelocityLinear EquationsPhysics
2025/3/6
The problem provides a table of values for a function $f(x)$ and asks to estimate the value of $f(x)...
Linear InterpolationFunction ApproximationNumerical Analysis
2025/3/6
We are given a table of values for a function $f(x)$ and we want to estimate the value of $f(2)$. Th...
Numerical AnalysisInterpolationLinear InterpolationFunction Approximation
2025/3/6
The problem requires us to graph an equation using a graphing tool, with $T$ as the horizontal axis....
GraphingCoordinate GeometryFunctions
2025/3/6