Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
We are asked to find the principal amount that needs to be invested to obtain a future value of $17,...
Simple InterestFinancial MathematicsAlgebra
2025/5/2
The problem provides a total cost function $C(x) = 850 \ln(x + 10) + 1700$, where $x$ is the number ...
Cost FunctionLogarithmsOptimizationCalculus
2025/5/2
The problem provides a demand function $p = 100e^{-q/2}$, where $p$ is the price per unit and $q$ is...
Exponential FunctionsDemand FunctionModelingCalculus (Implicit)
2025/5/2
The problem describes the sales decay of a product using the formula $S = 80000e^{-0.9x}$, where $S$...
Exponential DecayModelingLogarithmsSalesApplications of Calculus
2025/5/2
The market demand for a certain product is $q$ units when the price charged to consumers is $p$ doll...
OptimizationRevenue MaximizationCalculusDerivativesLinear Equations
2025/5/2
The highest point of a roller coaster loop is 42 m and the lowest point is 18 m. If the height of a ...
TrigonometryModelingSine WaveCosine WaveAmplitudeOptimization
2025/5/1
A Ferris wheel starts spinning at $t = 0$ s and stops at $t = 12$ s. The Ferris wheel makes 4 loops ...
Rotational MotionAngular SpeedPhysicsTrigonometry
2025/5/1
We are asked to find a cosine function that models the height of a person's hand as they spin their ...
TrigonometryModelingCosine FunctionPeriodic Functions
2025/5/1
The problem describes a plane making a loop in the air, with its height modeled by the function $h(t...
TrigonometryModelingFunctionsPhysics
2025/5/1
The problem asks to complete a table showing the frequency of family history of mood disorder by age...
Data AnalysisTable CompletionLinear EquationsStatistics
2025/4/30