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 :
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:
It always works!
Quadratic equations can also be solved step by step. Here is one:
Even equations containing only variables can be solved (for x):
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.
Using the Step by Step Equation Solver at www.TiNspireApps.com we can solve – step by step – equations involving Logarithms such as
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 :
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 :
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.
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 :
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:
We enter as
The reason for that clean answer is using the ln rules as follows:
We have to solve the following logarithmic equation:
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.