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 :

Solve Separable 1. Order Differential Equation using the TiNspire CX

To solve a separable Differential Equation such as dy/dx + xy=0 or rewritten dy/dx = – x*y with initial condition y(0)=2 use the Differential Equation Made Easy app at www.TinspireApps.com , use menu option 1 3 (Separation of Variables) and enter as follows :

to finally get both the general and particular solutions.

Partial Derivatives using the TiNspire Cx CAs

Finding Partial Derivatives using the TiNspire can easily be done using Calculus Made Easy at www.tinspireapps.com as follows: In the Menu select Multivariable Calculus, then select Partial Derivatives and Gradient:

Next enter the given function using x and y as variables:

The two partial derivatives are highlighted , the 2. partial derivatives are found shown below.

You do have the option to evaluate the partial derivatives by entering x0 and y0 values in the 2. box as shown below :

Logarithms using the TiNspire CX

Say we have to logarithm base 6 of the cube root of 3 , here is how we enter it into the TiNspire CX CAS:

Upon pressing ENTER we will see the pretty format and the answer:

Let’s do another example: Logarithm base 6 of 1296 :

Pressing ENTER yields the solution 4 (since 1296 = 6^4) :

Here is exponential equation involving logarithm:

This is how it is entered:

Conveniently, log base 10 and exponential base 10 function cancel to get

Now we solve this function:

Voila.

Lastly, evaluate

We enter as

to get

The reason for that clean answer is using the ln rules as follows:

and lastly


We have to solve the following logarithmic equation:


Enter as

log((r+15)^2,3) = 4 and lastly

solve( log((r+15)^2,3) = 4 , r)

which solves for r using the TiNspire cx .

By hand: log_3_(r+15)^2 = 4 calls for exponentiating both sides using base 3 which yields : (r+15)^2 = 3^4 = 81
Square rooting both sides : r+15 = plus or minus 9
Thus, r = -6 or r = -24 . Plug each into the original equation to verify the correctness.

Tangent Plane – Step by Step – using the TiNspire CX

QUESTION:  Find an equation of the tangent plane to the surface
z=3x^4+9y^4+7xy at the point (3,3,1035).

SOLUTION: Start Calculus Made Easy , go to the Multivariable Calculus in the menu.

There, enter as shown below :

The steps are shown in the box below: partial derivatives are computed and evaluated. And the function is evaluated at the given point . Thus, the Tangent Plane is derived. Additionally, a line normal to the plane and a normal vector are found.


Thus, finally