TiNspire CX : Piecewise defined function

To solve problems involving piecewise defined functions with your TiNspire CX CAS use Calculus Made Easy at www.TiNspireApps.com and scroll down to option 9 :

Next, enter the 2 “pieces” of the function in the top box and the start/end point in the 2. box as follows :

Now scroll down to check if the piecewise defined is continuous or not. Here it is since the 2 one-sided limits match at x=2 .

TiNspire CX Limit Solver

Use belows Limit Solver when asked to find a constant for which a limit exists. Ex: What is a in (x^2+x-a) /(x-2) as x approaches 2?

To find the constant a for which the limit exists using the TiNspire CX CAS use Calculus Made Easy at www.TinspireApps.com , select option 6 in the Limits menu :



When entering the above example, we find the Limit to be 5 when the constant a=6 .

TiNspire CX CAS: Nonhomogeneous, Nonlinear Cauchy Euler 3. order Differential Equation

To solve a 3. order Cauchy Euler Differential that is Nonhomogeneous and NonLinear you would use the Differential Equations Made Easy at www.TiNspireApps.com and enter the coefficients of the Differential Equations as follows:

As can be seen, the substitution y=x^n allows us to find the zeros of the homogeneous Differential Equation and its solution below. Now, we are after the nonhomogenous solution which involves find the 4 Wronskians W, W1, W2, W3 using the Variation of Parameter method:

After finding the 3 v_i, their integration allows us to find the final solution

Puuh, that was a lot of work…If you want to skip watch all the steps you might just jump straight to the final solution.

TiNspire CX CAS : Pole Zero Plot

When creating a pretty Pole Zero Plot you will pull out your trusty TiNspire CX CAS , launch the Electrical Engineering Made Easy app (download at www.TiNSpireApps.com) and select option 9 in the menu

and enter the given Transfer Function as follows:

Finally, we head over to tab 1.3 to view the resulting Pole Zero Plot. The Zeros are drawn using O (here z=-6 since that makes the numerator equal to 0) . The Poles are marked using X (here positive and negative 3i as the make the denominator equal to 0).

Pole Zero Plots are a very simple and effective way to display the properties of a Transfer Function.

TiNspire CX CAS: Classify Nodes, Saddle Points in Stability of Non-Linear Systems

Say you have to classify nodes when studying the stability of Non-Linear Systems. Use the Differential Equations Made Easy App at www.TinspireApps.com under menu item 3 E . Enter the given System as follows in the two top boxes:

When plugging the critical points into the Jacobian we are able to compute the EigenValues that allow us to classify the nodes as stable, unstable, saddle point, center or spiral point.


and finally

Very Simple!

TiNSpire CX: Solve System of Differential Equations using LaPlace Transform – Step by Step

Say you have to solve the system of Differential Equations shown in below’s image. Launch the Differential Equations Made Easy app (download at www.TiNspireApps.com) , go to Laplace Transforms in the menu and just type in as shown below:

Scrolling down to view all steps finally shows the correct final answer:

Solving Fractions and Quadratics using the TiNSpire – Step by Step

Say your teacher has some fancy fractions to solve for you and you have a volleyball game , play practice and to prepare for the SAT next Saturday. So you take out your TiNspire CX CAS, launch the STEP BY STEP EQUATION SOLVER app from www.TiNspireApps.com and get a quick lesson on how to solve those fractions…which turns out not too difficult after following the provided steps below:

We select option 5 :

  1. problem:

to get 5/14 . The trick is to multiply the given fractions by the product of their denominators (bottoms) to get a much easier equation to solve.

Here is another one:

and

It always works!

Quadratic equations can also be solved step by step. Here is one:

and

Even equations containing only variables can be solved (for x):

Statistik mit Schritten fuer den TiNspire CX

statistik fuer TiNspire CX
statistik fuer TiNspire CX

Das umfassende Statistik Paket mit schrittweise Loesungen fuer den TiNSpire CX ist jetzt erhaeltlich unter https://www.tinspireapps.com/deutsch/?a=SWLG

Themen wie Mittelwerte, Varianz, Quartile, Perzentile, Erwartungswert, Zufallsvariablen, Wahrscheinlichkeiten, Kombinationen, Permutationen, Regressionem, Statistische Signifikanz Tests, Konfidenzintervalle, Verteilungen, Gesetz der grossen Zahlen, Markoff Ketten, ChiQuadrat Tests, ANOVA, Exponentielles Smoothing, Entscheidungs Tests, Nicht-Parametrische Tests, Normalverteilung und vieles mehr.

Kaum zu glauben alle diese Themen sind in einer handlichen App auf dem TiNspire CX verfuegbar.

Hier ist ein Ueberblick:

mittelwerte, Verteilung, Konfidenzinterval fuer den tinspire cx
mittelwerte, Verteilung, Konfidenzinterval fuer den tinspire cx

und

Wir empfehlen die kostenlose Testversion unter https://www.tinspireapps.com/trials/ zu probieren.

Ingenieur Mathematik – Schritt fuer Schritt – fuer den TiNspire CX

Achtung Ingenieure!!! Die Ingenieur Mathematik app mit Schrittweisen Loesungen fuer den TiNspire CX CAS (auch CX CAS II ) ist jetzt erhaeltlich unter https://www.tinspireapps.com/deutsch/?a=IMLG .

Die App is unglaublich umfassend wie man hier erkennen kann:

Diese App hat wirklich alles was ein Ingenieur an Mathematik wissen muss:

Und das Beste ist , dass die Loesungen in der Ingenieurmathematik App fuer den TiNspire CX CAS Schritte anzeigen. Das heisst das man neben den richtigen Ergebnissen auch gleich sieht warum die Loesung richtig ist.

Zum Testen der App kann man die Trial version bei www.tinspireapps/trials gratis probieren.

Logarithms – Step by Step – using the TiNspire CX CAS

Using the Step by Step Equation Solver at www.TiNspireApps.com we can solve – step by step – equations involving Logarithms such as

log(x-2)+log(2x+1)=7

just type it in the top box and view the step by step solution in the bottom box:

Another example using natural logarithm instead of base 10 :

Say we are asked to expand logarithms, we will then use the Algebra Made Easy app at www.tinspireapps.com , go to menu option EXPAND, enter our condensed log expression in the top box to view the expanded version as shown below :

and

Lastly , we are given an expanded logarithmic expression and we are asked to condense. Well, you know what to do: use the Algebra Made Easy app at www.tinspireapps.com , go to menu option CONDENSE , enter our expanded log expression in the top box to view the condensed version as shown below :