Calculus Calculators: (4) lessons

[+] Arithmetic and Geometric and Harmonic Sequences
This 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

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Examples (1): {1, 9, 17, 25, . . .}Tags: explicit, sequence, series
[+] Functions-Derivatives-Integrals
Given 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]

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Examples (4): given that f(x) = x^3 - x^2 + 2x, what is f(-3)?, c=cost of filling up gas tank g= gallons given the equation c(g)=3.03(g) find c(2), integrate 5x^3, derive 9h^3Tags: derivative, function, integral, polynomial
[+] Polar and Cartesian Coordinates
This calculator handles the following conversions:
* Ordered Pair Evaluation and symmetric points
* 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

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Examples (3): (1,4), (2,3) to polar, (5,30) to CartesianTags: cartesian, coordinates, ordered pair, polar, quadrant, rectangular, reflect, rotate
[+] Sequences
Given 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}

Features: Calculator | Quiz Generator | Practice Problem GeneratorTags: sequence, term