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Vectors: MATH 171 Problems 3 & 4 thumbnail

Vectors: MATH 171 Problems 3 & 4

Using vectors to prove the midpoint formula and a fact about quadrilaterals

GeometricMidpointsQuadrilateralVector
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Vectors: MATH 171 Problems 5 & 6 thumbnail

Vectors: MATH 171 Problems 5 & 6

Using vectors to prove facts about equilateral triangles and a scalar multiplication property for the dot product

Dot ProductEquilateral TriangleGeometricMidpointsScalarVector
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Dot Product: MATH 171 Problems 9 & 10 thumbnail

Dot Product: MATH 171 Problems 9 & 10

Proving the Triangle Inequality and a property of the midpoints of rectangles

Cauchy-Schwarz InequalityRectangleRhombusTriangle InequalityVector
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MLC WIR 20B M151 week8 #7c thumbnail

MLC WIR 20B M151 week8 #7c

Using Riemann sums to estimate the area under a curve using midpoints

AreaArea under a curveMATH 151MidpointsPartition of an IntervalRiemann Sum
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Riemann Sums: MATH 151 5.1 Problems 1-5 thumbnail

Riemann Sums: MATH 151 5.1 Problems 1-5

Riemann sums, including approximating areas under curves.

ApproximationArea under a curveLeft EndpointsMidpoint RuleMidpointsParabolaPolynomialRadicalRiemann SumRight EndpointsSigma NotationSineSquare Root
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Riemann Sums and Definite Integrals: MATH 151 5.2 Problems 6-12 thumbnail

Riemann Sums and Definite Integrals: MATH 151 5.2 Problems 6-12

Using Reimann sums and the Fundamental Theorem of Calculus

Absolute ValueApproximationArea under a curveCosineDefinite IntegralDefinite Integral RulesDerivativeExponential FunctionFundamental Theorem of CalculusIntegralIntegral of a FunctionLimitLogarithmMidpoint RuleMidpointsPolynomialRadicalRational FunctionRiemann SumSineSquare Root
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Riemann Sums and Definite Integrals: MATH 151 5.3 Problems 6-12 thumbnail

Riemann Sums and Definite Integrals: MATH 151 5.3 Problems 6-12

Using Riemann sums and the Fundamental Theorem of Calculus

Absolute ValueApproximationArea under a curveCosineDefinite IntegralDefinite Integral RulesDerivativeExponential FunctionFundamental Theorem of CalculusIntegralIntegral of a FunctionLimitLogarithmMidpoint RuleMidpointsPolynomialRadicalRational FunctionRiemann SumSineSquare Root
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Introduction to Riemann Sums thumbnail

Introduction to Riemann Sums

Estimating the area under a function using right-hand, left-hand, and midpoint Riemann sums

Area under a curveHow-To CalculusLeft EndpointsMidpointsRiemann SumRight Endpoints
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Estimating Area With a Left-Hand Riemann Sum thumbnail

Estimating Area With a Left-Hand Riemann Sum

Estimating the area under a curve using left-hand Riemann sums

Area under a curveHow-To CalculusLeft EndpointsMidpointsRiemann SumRight Endpoints
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