2. Fundamental Theorem of Calculus using the TiNspire – Step by Step

Applying the Fundamental Theorem of Calculus using the TiNspire – Step by Step – can easily be done using Calculus Made Easy at www.TiNspireapps.com . Here is an example:

Just enter the given function f(t) which is the integrand.

Next, enter the upper bound of the given definite integral.

Then , Calculus Made Easy provides you with the Theorem and also applies it to show the correct answer.

Steps for the computation can be seen below: First the integrand is integrated and evaluated using the given bounds . Lastly, differentiation yields that final answer.

NEW: Newton Method, Cholesky Decomposition, Jacobi Method, Simpson Rule and more using the TiNSpire CX

The Numerics Made Easy app at www.TinspireApps.com was updated to also solve the following concepts:

Secant Method to find zeros of a function
Jacobi Method to solve A*X=B
Cholesky Decomposition
Newton Method for Interpolation
Orthogonal Polynomials: Legendre , Hermite, Chebyshev and Leguerre
3-8 Simpson Rule
Newton Cotes



TiNspire : Volume of Solids of Revolution using Disk, Washer and Shell Methods

Computing the Volume of a Solid of Revolution using the TiNspire CX CAS can easily be done – step by step – using the Calculus Made Easy at www.TinspireApps.com .

Here is how.

Let’s start with the Disk Method. We just select that option in the menu:

Then this pops up :

Now, enter the given function in the top box and the given interval below. Automatically, the answer will show in the bottom with correct integral setup and the correct answer.

Similarly, when using the Washer Method for two functions we have:

Finally, the Shell method works the same way :

In conclusion, the just like all other Calculus topics finding the Volume of Solids of Revolution using the Disk , Washer and Shell Methods can be done easily using Calculus Made Easy at www.TiNspireApps.com .

TiNspire Users in Finnland comments

Kuulin koulussa 3 ihmisen ryhmän puhuvan Calculus kurssista miten hän läpäisi kurssinsa sovelluksen, avulla joka näytti kaikki välivaihe ratkaisut.
Luokkakaveri oli puhunut myöskin ohjelmasta, jonka nimi oli Calculus made easy, mikä näytti kuulemma välivaihe ratkaisut.

Yhden matikan kurssin reputtaneena ja toisenkin ehkä myöskin, turhautumiseni matematiikka kolmannen matikan Calculus kurssiin alkoi olemaan stressaavaa.
Päätin ostaa Calculus Made easy ohjelma TI-Nspire CX CAS laskimeen, tämä ohjelman avulla olen onnistunut tekemään kotitehtäviä jotka, ovat olleet haastavia minulle! 
Erittäin hyödyllinen ohjelma niille jotka eivät ole keskiverto tasoa matikan laskemisessa.

Ti NSpire CX: Implicit Differentiation – Step by Step

Using Calculus Made Easy on the TiNSpire CX at  https://www.tinspireapps.com/?a=CME

choose IMPLICIT DIFFERENTIATION in the menu , then enter  the equation of a

given curve as shown below:

The Implicit Differentiation process continues until step 5)

VOILA ! easy as pie! The handy TiNspire CX can not only Implicit Differentiation Step by Step but can do ALL

of Calculus Step by Step!

 

TiNspire and Finances/Business : Compute Taxes, Time Value

TiNspire users can easily solve Finance and Business related problems STEP BY STEP using the Finance Made Easy at

https://www.tinspireapps.com/?a=FME  .

The  extensive Time Value section of the menu shows Simple Interest, Future and Present Value, Compounded Interest, Annuities, NPV , IRR and MIRR (further down)

Lets start off with a basic tax (i.e. VAT) problem where we have to add 30% to $1000 to get $1300 .

Vice versa ,  we can also subtract interest from a given amount (i.e. pay check)  by entering a negative % , see below:

Solve 2×2 System of Equation – Step by Step – using TiNSpire CX

When solving

x-5y =6
3x+2y=1

with the TiNspire CX CAS  you can either use the Substitution or the Elimination Method.

Let us demonstrate how to use the Substitution Method using the STEP BY STEP EQUATION SOLVER first:

Now, to use the Elimination Method select option 1,8 :

Below watch the Steps  to solve the system of equations using the Elimination Method:

It always works! Always get correct solutions. And you get to select YOUR method of choice.

 

 

SOLVED: Normal Distribution & Sampling Distribution (TiNspire)

Below is a typical Normal Distribution problem that will be solved further below using the Statistics Made Easy app .

Using the Normal Distribution feature in the Statistics Made Easy app , we enter the given mean and standard deviation in the top box use 0 and 19 for A and B to 0.0324 or 3.24% .

 

For question 2 we use 90 and 130 instead in the 2. box to 85.83%

For the 3. question we use 130 as A and some large B such as 500 (or 1000) to get 0.1092 or 10.92% as the answer.

 

For Sampling Distribution we use the Central Limit Theorem

and enter the known mean, standard deviation and sample size to get the sampling distribution

N(mean, std dev/square root(n) ). Here we get 114 and 1.3

Since the sampling distribution is a normal distribution , we go to the previous and only change the standard deviation to 1.3 instead of 13. Below, we type in the given 110 and 116 to get 93.6986%

That was not too difficult at all! It was easy..

Portfolio, Stocks, Returns, Risk, Beta, CAPM, Finance using the TINSPIRE CX

To solve Portfolio, Stocks, Returns, Risk, Beta, CAPM and other finance-related problems using your TINSPIRE CX download the comprehensive

PORTFOLIO & STOCKS app at https://www.tinspireapps.com/?a=PIME .

You will get Step by Step and always correct Solutions on your handy TiNspire  , watch the video below for more details.

 

A good start is to test the  free trial first , download it at https://www.tinspireapps.com/trials/

“Tinspire applications and their customer service are great”

The Tinspire applications and their customer service are great.

The demo videos are very good.  I had been an EE for a large cellular design and manufacturing company for the past 25 years.  Now that I am interviewing for other jobs, it becomes apparent that these jobs depend and require a fluency in the fundamentals.   I am just now starting this Laplace curriculum.

It is great to have these TINSPIREAPPS tools available for my current predicament and feel they should significantly contribute to my skill set and confidence as I pursue new opportunities.