Calculus 1: Optimization Problems
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All Calculus 1LimitsDefinition of the DerivativeProduct and Quotient RulePower Rule and Basic DerivativesDerivatives of Trig FunctionsExponential and Logarithmic FunctionsChain RuleInverse and Hyperbolic Trig DerivativesImplicit DifferentiationRelated Rates ProblemsLogarithmic DifferentiationGraphing and Critical PointsOptimization ProblemsIndeterminate Forms and l'Hospital's RuleLinear Approximation and DifferentialsNewton Raphson MethodIndefinite IntegralsU SubstitutionDefinite Integrals and Fundamental TheoremApplications of Integration
AllNeeds SolutionEasyMediumHardVideo
Find two non-negative numbers, x and y, whose sum is 9 with a maximum product of x and the square of y,
A man has 1000 feet of fencing material and he wants to enclose three adjacent pens for his three dogs as shown below. What dimensions should be used to maximize the total enclosed area? What is the final maximum total area?