Wednesday, August 30, 2023

Graph of cothx^-1 | What is coth^-1x graph drawing?

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The graph of cothx to the -1 is as follows.


$cothx^{-1}$ graph:


cothx^-1 graphic


Graph of coshx^-1 | What is cosh^-1x graph drawing?

The graph of coshx to the -1 is as follows.


$coshx^{-1}$ graph:


cosh^-1(x) graph


Graph of sinhx^-1 | What is sinh^-1x graph drawing?

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The graph of sinhx to the -1 is as follows.

$sinhx^{-1}$ graph:

sinh^-1x graph


Tuesday, August 29, 2023

Special Power Series | ex | sinx | cosx | tanx | ln(1+x) | sinhx | coshx | tanhx | sinh^-1 | tanh^-1 All Series

You can reach all special power series formulas from below. We wish you all good lessons...


$e^x$ series:

(all x)
sinx series:

(all x)


cosx series:

(all x)




tanx series:

(|x| < π/2)

$sin^{-1}x$ series:

(|x|<1)



$tan^{-1}x$ series:

(|x|<1)



ln(1+x) series:

(-1<x≤1)


sinhx series:

(all x)


coshx series:

(all x)


tanhx series:

(|x|<π/2)

$sinh^{-1}x$ series:

(|x|<1)



$tanh^{-1}x$ series:

(|x|<1)



Maclaurin Series Formula | What is the Maclaurin series?

If the series is zero-centered (a=0), the Taylor series takes a simpler form and this special series is called the Maclaurin series after the Scottish mathematician Colin Maclaurin.

Maclaurin Series Formula:



Monday, August 28, 2023

Epicycloid Definition | Epicycloid Parametric Equations

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Parametric equations:


This is the curve described by a point P on a circle of radius b as it rolls on the outside of a circle of radius a. The cardioid is a special case of an epicycloid.


Z Transforms | All Function and Transform

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You can find all the Z transforms below. We wish you good work...






Shift Theorem




Initial value theorem




Final value theorem

provided f(∞) exists.


Inverse Formula