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Limits: MATH 171 Problems 8 & 9 thumbnail

Limits: MATH 171 Problems 8 & 9

Proving a property of scalar multiplication for limits using the epsilon-delta definition and using the Squeeze Theorem for Limits.

Absolute ValueCosineEpsilon-Delta Definition of a LimitLimitLimit PropertiesScalarSquare RootSqueeze (or Sandwich) TheoremTrigonometry
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Derivatives and Rates of Change: MATH 171 Problems 1-3 thumbnail

Derivatives and Rates of Change: MATH 171 Problems 1-3

Using the limit definition to find derivatives of functions and vector functions

DerivativeDifference QuotientGraphLimitLimit Definition of the DerivativeLineRational FunctionSlopeSquare RootTangent LineVectorVector DerivativeVector Function
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Definite Integrals: MATH 171 Problems 5-9 thumbnail

Definite Integrals: MATH 171 Problems 5-9

The definition and properties of definite integrals

Area under a curveCircleDefinite IntegralIntegralLimitNorm of a PartitionPartition of an IntervalPolynomialRadiusRiemann SumRight EndpointsSquare Root
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Higher Derivatives Example 2 thumbnail

Higher Derivatives Example 2

Using derivatives to find the velocity and acceleration functions from the position function

AccelerationChain RuleDerivativeFirst DerivativeHigher DerivativeMATH 147PositionPower FunctionPower RuleSecond DerivativeSquare RootVelocity
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Work and Average Value: MATH 152 Problems 1-9 thumbnail

Work and Average Value: MATH 152 Problems 1-9

Using integrals to solve work problems and find the average value

Average Value of a FunctionDefinite IntegralDefinitionFractionFunctionHooke's LawIntegral of a FunctionQuadraticSquare Rootu substitutionVolume by Parallel Cross SectionsWork
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MATH 308 WIR22A V34 thumbnail

MATH 308 WIR22A V34

Solving a second order linear initial value problem with complex roots to the characteristic equation

Characteristic EquationDifferential EquationHomogeneous Differential EquationInitial ConditionInitial Value ProblemMATH 308Second Order Linear ODE
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MATH 308 WIR22A V35 thumbnail

MATH 308 WIR22A V35

Solving a second order linear initial value problem with a repeated root to the characteristic equation

Characteristic EquationDifferential EquationHomogeneous Differential EquationMATH 308Second Order Linear ODE
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Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15 thumbnail

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

AngleArccosineArcsineArctangentChain RuleDerivativeDomainExponential FunctionInverse TrigonometryLimitProduct RuleRadicalRangeRational FunctionSecantSineSlopeSquare RootTangentTangent LineTrigonometry
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Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9 thumbnail

Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9

Reviewing the chain rule and the derivatives and limits of trigonometric functions

Chain RuleCompositionCosineDerivativeLimitPolynomialProduct RuleQuotient RuleRadicalSecantSineSlopeSquare RootTangentTangent Line
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