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Vector Functions: MATH 171 Problems 1 & 2 thumbnail

Vector Functions: MATH 171 Problems 1 & 2

Proving a certain parameterization gives the unit circle and showing vector equations of lines are parallel

ParallelParameterizationParametric EquationsRational FunctionUnit CircleVectorVector Function
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Continuity: MATH 171 Problems 6 & 7 thumbnail

Continuity: MATH 171 Problems 6 & 7

Proving a piecewise function and a polynomial are continuous

ContinuousContinuous at x=aDiscontinuityDiscontinuous FunctionGraphLimitLimit PropertiesPiecewise FunctionPolynomialRational Function
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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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Higher Order Derivatives: MATH 171 Problems 4-6 thumbnail

Higher Order Derivatives: MATH 171 Problems 4-6

Finding a formula for a higher order derivative and a formula for the second derivative of a product

Chain RuleDerivativeFactorialHigher DerivativeInductionnth DerivativePower RuleProduct RuleRational FunctionSecond Derivative
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Integration Using Partial Fractions: MATH 172  Problems 8 & 9  thumbnail

Integration Using Partial Fractions: MATH 172 Problems 8 & 9

Finding a partial fraction decomposition and integrating using partial fractions

CosineIndefinite IntegralIntegration MethodsLogarithmPartial FractionsRational FunctionSineTrig SubstitutionTrigonometryu substitution
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Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25 thumbnail

Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25

Review of limits, continuity, and the Intermediate Value Theorem

Absolute ValueAsymptoteContinuousContinuous at x=aDiscontinuityEquationGraphHorizontal AsymptoteInfinityIntermediate Value TheoremLeft LimitLimitOne-Sided LimitPiecewise FunctionRational FunctionVectorVertical Asymptote
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Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35 thumbnail

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Absolute ValueContinuous FunctionDerivativeDifferentiableDifferentiationDistance TraveledEquationGraphLimitLinePiecewise FunctionPolynomialProduct RuleRational FunctionSlopeSpeedTangentTangent LineVectorVelocity
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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 21-29 thumbnail

Review for the Common Exam: MATH 151 Exam 2 Review Problems 21-29

Related rates problems, differentials, linear and quadratic approximations

ApproximationApproximation by DifferentialsAreaDerivativeDifferentialDiskDistance TraveledLinear ApproximationParametric EquationsPolynomialQuadratic ApproximationRadicalRadiusRate of ChangeRational FunctionSecondSpeedSquare RootVelocityVolume
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