Arithmetic and Geometric and Harmonic SequencesThis will take an arithmetic series or geometric series or harmonic series, and an optional amount (n), and determine the following information about the sequence
1) Explicit Formula
2) The remaining terms of the sequence up to (n)
3) The sum of the first (n) terms of the sequence
Also known as arithmetic sequence, geometric sequence, and harmonic sequence
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Watch the VideoDerivativesThis lesson walks you through the derivative definition, rules, and examples including the power rule, derivative of a constant, chain rule
LessonFunctions-Derivatives-IntegralsGiven a polynomial expression, this calculator evaluates the following items:
1) Functions ƒ(x). Your expression will also be evaluated at a point, i.e., ƒ(1)
2) 1st Derivative ƒ'(x) The derivative of your expression will also be evaluated at a point, i.e., ƒ'(1)
3) 2nd Derivative ƒ''(x) The second derivative of your expression will be also evaluated at a point, i.e., ƒ''(1)
4) Integrals ∫ƒ(x) The integral of your expression will also be evaluated on an interval, i.e., [0,1]
5) Using Simpsons Rule, the calculator will estimate the value of ≈ ∫ƒ(x) over an interval, i.e., [0,1]
CalculatorIntegralsThis lesson walks you through the integral definition, rules, and examples
LessonL'Hôpital's RuleThis lesson walks you through L'Hôpitals's Rule including the definition, pronunciation, notation, and examples
LessonLimit of a FunctionThis lesson walks you through what limit is, how to write limit notation, and limit theorems
LessonOrdered PairThis calculator handles the following conversions:
* Ordered Pair Evaluation and symmetric points including the abcissa and ordinate
* Polar coordinates of (r,θ°) to Cartesian coordinates of (x,y)
* Cartesian coordinates of (x,y) to Polar coordinates of (r,θ°)
* Quadrant (I,II,III,IV) for the point entered.
* Equivalent Coordinates of a polar coordinate
* Rotate point 90°, 180°, or 270°
* reflect point over the x-axis
* reflect point over the y-axis
* reflect point over the origin
CalculatorSequencesGiven a function a(n) and a count of sequential terms you want to expand (n), this calcuator will determine the first (n) terms of your sequence, {a1, a2, ..., an}
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