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The problem asks us to identify which of the given equations are quadratic equations in $x$. A quadr...
Quadratic Equations
2025/3/8
The problem asks us to find the solutions of three quadratic equations using Vieta's formulas. The q...
Quadratic EquationsVieta's FormulasRoots of PolynomialsSolving Equations
2025/3/8
The problem presents a worksheet containing questions related to quadratic equations. It involves id...
Quadratic EquationsRoots of EquationDiscriminantVieta's FormulasEquation Transformation
2025/3/8
The problem is to simplify the expression $\frac{[(2x^2y^3)^2]^{-2}}{3x^{-2}y}$ and express the answ...
Simplifying ExpressionsExponentsVariables
2025/3/8
The total cost function for a product is given by $C(x) = 850 \ln(x+10) + 1700$, where $x$ is the nu...
Cost FunctionLogarithmExponential FunctionOptimization
2025/3/8
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
We are asked to solve the equation $\ln(x+4) + \ln(x) = \ln(x+18)$ for $x$.
LogarithmsEquationsQuadratic EquationsSolving Equations
2025/3/8